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Cubic Transmuted Ailamujia Distribution - Type I: Statistical Properties and Application, International Journal of Statistical Distributions and Applications, Science Publishing Group
<!doctype html> <html> <head> <title>Cubic Transmuted Ailamujia Distribution - Type I: Statistical Properties and Application, International Journal of Statistical Distributions and Applications, Science Publishing Group</title> <meta name="description" content="This study introduces and evaluates the Cubic Transmuted Ailamujia Distribution (CTAD), a novel distribution developed using CRT-type I as a generator and the Ailamujia distribution as a baseline. We derived several statistical quantities, including density and distribution functions, hazard and survival functions, moments, and order statistics. The performance of the CTAD was compared against several established models using three distinct datasets: exceedances of flood peaks from the Wheaton River (Dataset I), cumulative COVID-19 death counts for Ghana (Dataset II), and daily confirmed COVID-19 cases for Ghana (Dataset III). The CTAD showed competitive performance, often outperforming traditional models such as the QTAD and Ailamujia distributions in Dataset I, and demonstrating strong performance relative to the CTGD, CTFD, and CTWD distributions in Dataset II. In Dataset III, while the CTAD was competitive, it was outperformed by the EWD and GGD in terms of AIC and BIC. Overall, the CTAD proves to be a robust and flexible distribution for modelling complex data patterns, though alternative distributions may offer better fits in specific scenarios. These findings underscore the CTAD’s potential as a valuable tool in statistical modelling and suggest opportunities for further research and refinement."> <meta name="Keywords" content="Ailamujia Distribution, Cubic Rank Transmutation, Maximum Likelihood Estimation, Order Statistics, Moments, Simulation"> <link rel="stylesheet" href="/js/bootstrap/css/bootstrap.min.css?v=20250116091759"> <meta name="dc.title" content="Cubic Transmuted Ailamujia Distribution - Type I: Statistical Properties and Application"> <meta name="dc.creator" content="Jones Asante Manu"><meta name="dc.creator" content="Samuel Darkwah"> <meta name="dc.type" content="Research Article"> <meta name="dc.source" content="International Journal of Statistical Distributions and Applications 2024, Volume 10, Page 60"> <meta name="dc.date" content="2024-10-31"> <meta name="dc.identifier" content="10.11648/j.ijsd.20241003.12"> <meta name="dc.publisher" content="Science Publishing Group"> <meta name="dc.rights" content="2024 The Author(s)"> <meta name="dc.copyright" content="2024 The Author(s)"> <meta name="dc.rightsAgent" content="service@sciencepublishinggroup.com"> <meta name="dc.format" content="text/pdf"> <meta name="dc.language" content="En"> <meta name="dc.description" content="This study introduces and evaluates the Cubic Transmuted Ailamujia Distribution (CTAD), a novel distribution developed using CRT-type I as a generator and the Ailamujia distribution as a baseline. We derived several statistical quantities, including density and distribution functions, hazard and survival functions, moments, and order statistics. The performance of the CTAD was compared against several established models using three distinct datasets: exceedances of flood peaks from the Wheaton River (Dataset I), cumulative COVID-19 death counts for Ghana (Dataset II), and daily confirmed COVID-19 cases for Ghana (Dataset III). The CTAD showed competitive performance, often outperforming traditional models such as the QTAD and Ailamujia distributions in Dataset I, and demonstrating strong performance relative to the CTGD, CTFD, and CTWD distributions in Dataset II. In Dataset III, while the CTAD was competitive, it was outperformed by the EWD and GGD in terms of AIC and BIC. Overall, the CTAD proves to be a robust and flexible distribution for modelling complex data patterns, though alternative distributions may offer better fits in specific scenarios. These findings underscore the CTAD’s potential as a valuable tool in statistical modelling and suggest opportunities for further research and refinement."> <meta name="dc.subject" content="Ailamujia Distribution"><meta name="dc.subject" content="Cubic Rank Transmutation"><meta name="dc.subject" content="Maximum Likelihood Estimation"><meta name="dc.subject" content="Order Statistics"><meta name="dc.subject" content="Moments"><meta name="dc.subject" content="Simulation"> <meta name="prism.issn" content="2472-3509"> <meta name="prism.publicationName" content="International Journal of Statistical Distributions and Applications"> <meta name="prism.publicationDate" content="2024-10-31"> <meta name="prism.volume" content="10"> <meta name="prism.number" content="3"> <meta name="prism.section" content="Research Article"> <meta name="prism.startingPage" content="60"> <meta name="prism.endingPage" content="77"> <meta name="prism.copyright" content="2024 The Author(s)"> <meta name="prism.rightsAgent" content="service@sciencepublishinggroup.com"> <meta name="prism.url" content="https://www.sciencepg.com/article/10.11648/j.ijsd.20241003.12"> <meta name="prism.doi" content="doi:10.11648/j.ijsd.20241003.12"> <meta name="citation_issn" content="2472-3509"> <meta name="citation_journal_title" content="International Journal of Statistical Distributions and Applications"> <meta name="citation_journal_abbrev" content="Int. 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Appl."> <meta name="citation_publisher" content="Science Publishing Group"> <meta name="citation_title" content="Cubic Transmuted Ailamujia Distribution - Type I: Statistical Properties and Application"> <meta name="citation_publication_date" content="2024/10"> <meta name="citation_online_date" content="2024/10/31"> <meta name="citation_volume" content="10"> <meta name="citation_issue" content="3"> <meta name="citation_firstpage" content="60"> <meta name="citation_lastpage" content="77"> <meta name="citation_article_type" content="Research Article"> <meta name="citation_fulltext_world_readable" content=""> <meta name="citation_language" content="En"> <meta name="citation_author" content="Jones Asante Manu"> <meta name="citation_author_institution" content="Business Studies Department, Lancaster University Ghana, Accra, Ghana"> <meta name="citation_author" content="Samuel Darkwah"> <meta name="citation_author_institution" content="Mathematics Department, Methodist University Ghana, Accra, Ghana"> <meta name="citation_doi" content="doi:10.11648/j.ijsd.20241003.12"> <meta name="citation_id" content="3791107"> <meta name="citation_pdf_url" content="http://article.sciencepg.com/pdf/j.ijsd.20241003.12"> <meta name="citation_reference" content="Adetunji, A. 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Journal of Statistics Applications and Probability an International Journal, 6(3), 619-633."> <meta name="fulltext_pdf" content="http://article.sciencepg.com/pdf/j.ijsd.20241003.12"> <meta property="og:site_name" content="Science Publishing Group"> <meta property="og:type" content="article"> <meta property="og:url" content="https://www.sciencepg.com/article/10.11648/j.ijsd.20241003.12"> <meta property="og:title" content="Cubic Transmuted Ailamujia Distribution - Type I: Statistical Properties and Application"> <meta property="og:description" content="This study introduces and evaluates the Cubic Transmuted Ailamujia Distribution (CTAD), a novel distribution developed using CRT-type I as a generator and the Ailamujia distribution as a baseline. We derived several statistical quantities, including density and distribution functions, hazard and survival functions, moments, and order statistics. The performance of the CTAD was compared against several established models using three distinct datasets: exceedances of flood peaks from the Wheaton River (Dataset I), cumulative COVID-19 death counts for Ghana (Dataset II), and daily confirmed COVID-19 cases for Ghana (Dataset III). The CTAD showed competitive performance, often outperforming traditional models such as the QTAD and Ailamujia distributions in Dataset I, and demonstrating strong performance relative to the CTGD, CTFD, and CTWD distributions in Dataset II. In Dataset III, while the CTAD was competitive, it was outperformed by the EWD and GGD in terms of AIC and BIC. Overall, the CTAD proves to be a robust and flexible distribution for modelling complex data patterns, though alternative distributions may offer better fits in specific scenarios. These findings underscore the CTAD’s potential as a valuable tool in statistical modelling and suggest opportunities for further research and refinement."> <head> <meta charset="utf-8"> <meta charset="utf-8"> <link rel="stylesheet" type="text/css" href="/css/font.min.css?v=20241122084834"> <link rel="stylesheet" type="text/css" href="/css/common.min.css?v=20241122084834"> <link rel="stylesheet" type="text/css" href="/css/selectJournalForm.min.css?v=20241122084834"> <link rel="stylesheet" href="/css/all.min.css?v=20241122084834"> <link rel="stylesheet" href="/css/problem_feedback.min.css?v=20241122084834"> <script src="/js/jquery-1.11.3.min.js?v=20241122084834"></script> <script src="/js/clipboard/clipboard.min.js?v=20241122084834"></script> <script src="/js/common.min.js?v=20241122084834"></script> <script src="/js/jquery.sticky-sidebar.min.js?v=20241122084834"></script> <script src="/js/customsize-validate.min.js?v=20241122084834"></script> <script 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</nav> </div> </div> <div class="content clearfix"> <div class="article_content_left left"> <input type="hidden" id="articleUniqueID" value="j.ijsd.20241003.12"> <div class="article_header"> <div class="article_header_top"> Research Article <span>|</span> <a href="/journal/379/open-access" target="_blank"><img src="/img/oa.png" class="oa"></a> <span>|</span> <a href="/journal/379/peer-review-at-sciencepg" style="color: #00599c; text-decoration: underline;" target="_blank">Peer-Reviewed</a> </div> <h3 class="ArticleTitle">Cubic Transmuted Ailamujia Distribution - Type I: Statistical Properties and Application</h3> <div class="article_author"> <span class="author"> <a href="javascript:;" data-target="#author0" class="AuthorName" >Jones Asante Manu</a><sup>*</sup><a href="http://orcid.org/0009-0008-5147-6128" target="_blank"><img src="/img/orcid_icon.png"></a>, <div class="author_item person-info" id="author0" style="display: none;"> <p class="author_name">Jones Asante Manu</p> <p class="Affiliation">Business Studies Department, Lancaster University Ghana, Accra, Ghana</p> <p class="roles">Contributor Roles: Conceptualization, Data curation, Formal Analysis, Funding acquisition, Investigation, Methodology, Project administration, Resources, Software, Validation, Visualization, Writing – original draft, Writing – review & editing</p> <div class="contact_info"> <input type="hidden" class="person-id" value="10732775"> <p><img src="/img/email_icon.png"><a href="javascript:;" class="EmailAddress btn-email" data-toggle="modal" data-target="#emailModalScrollable">Contact Email</a></p> <p><img src="/img/orcid_icon.png"><a href="http://orcid.org/0009-0008-5147-6128" target="_blank" class="normal_link">http://orcid.org/0009-0008-5147-6128<i class="fas fa-external-link-alt"></i></a></p> </div> </div> </span><span class="author"> <a href="javascript:;" data-target="#author1" class="AuthorName" >Samuel Darkwah</a><a href="http://orcid.org/0009-0002-9215-6143" target="_blank"><img src="/img/orcid_icon.png"></a> <div class="author_item person-info" id="author1" style="display: none;"> <p class="author_name">Samuel Darkwah</p> <p class="Affiliation">Mathematics Department, Methodist University Ghana, Accra, Ghana</p> <p class="roles">Contributor Roles: Conceptualization, Data curation, Formal Analysis, Methodology, Resources, Software, Supervision, Visualization, Writing – original draft, Writing – review & editing</p> <div class="contact_info"> <input type="hidden" class="person-id" value="10732776"> <p><img src="/img/email_icon.png"><a href="javascript:;" class="EmailAddress btn-email" data-toggle="modal" data-target="#emailModalScrollable">Contact Email</a></p> <p><img src="/img/orcid_icon.png"><a href="http://orcid.org/0009-0002-9215-6143" target="_blank" class="normal_link">http://orcid.org/0009-0002-9215-6143<i class="fas fa-external-link-alt"></i></a></p> </div> </div> </span> </div> <div class="published"> <span>Published in </span> <a href="/journal/379/home" target="_blank"><i>International Journal of Statistical Distributions and Applications</i></a> (<a href="/journal/379/archive/3791003" target="_blank">Volume 10, Issue 3</a>) </div> <div class="article_time"> <span>Received: </span>8 July 2024 <span>Accepted: </span>20 September 2024 <span>Published: </span>31 October 2024 </div> <div class="vd"> <input type="hidden" id="downloadTotalizationUrl" value="https://w.sciencepublishinggroup.com/"> <span>Views:</span> <span class="spanViews"></span> <span>Downloads:</span> <span class="spanDownloads"></span> </div> <div class="operation clearfix"> <div class="view_more left"> <a href="https://article.sciencepublishinggroup.com/pdf/j.ijsd.20241003.12" target="_blank" onclick="downLoadArticle(10090755, "https:\/\/w.sciencepublishinggroup.com\/", '.spanDownloads', "https:\/\/article.sciencepublishinggroup.com\/", "pdf\/j.ijsd.20241003.12", true)" > <i class="fas fa-file-pdf"></i>Download PDF </a> </div> <!--<div 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We derived several statistical quantities, including density and distribution functions, hazard and survival functions, moments, and order statistics. The performance of the CTAD was compared against several established models using three distinct datasets: exceedances of flood peaks from the Wheaton River (Dataset I), cumulative COVID-19 death counts for Ghana (Dataset II), and daily confirmed COVID-19 cases for Ghana (Dataset III). The CTAD showed competitive performance, often outperforming traditional models such as the QTAD and Ailamujia distributions in Dataset I, and demonstrating strong performance relative to the CTGD, CTFD, and CTWD distributions in Dataset II. In Dataset III, while the CTAD was competitive, it was outperformed by the EWD and GGD in terms of AIC and BIC. Overall, the CTAD proves to be a robust and flexible distribution for modelling complex data patterns, though alternative distributions may offer better fits in specific scenarios. These findings underscore the CTAD\u2019s potential as a valuable tool in statistical modelling and suggest opportunities for further research and refinement.", 200)) linkedInUrl += "&url=" + encodeURIComponent(location.origin + "/" + "article\/10.11648\/j.ijsd.20241003.12"); var facebookUrl = "https://www.facebook.com/sharer.php?u=" + location.origin + "/" + "article\/10.11648\/j.ijsd.20241003.12"; </script> </div> </div> </div> </div> </div> <div class="article_body"> <div class="section" id="abstract"> <div class="Abatract">Abstract</div> <p class="AbatractContent">This study introduces and evaluates the Cubic Transmuted Ailamujia Distribution (CTAD), a novel distribution developed using CRT-type I as a generator and the Ailamujia distribution as a baseline. We derived several statistical quantities, including density and distribution functions, hazard and survival functions, moments, and order statistics. The performance of the CTAD was compared against several established models using three distinct datasets: exceedances of flood peaks from the Wheaton River (Dataset I), cumulative COVID-19 death counts for Ghana (Dataset II), and daily confirmed COVID-19 cases for Ghana (Dataset III). The CTAD showed competitive performance, often outperforming traditional models such as the QTAD and Ailamujia distributions in Dataset I, and demonstrating strong performance relative to the CTGD, CTFD, and CTWD distributions in Dataset II. In Dataset III, while the CTAD was competitive, it was outperformed by the EWD and GGD in terms of AIC and BIC. Overall, the CTAD proves to be a robust and flexible distribution for modelling complex data patterns, though alternative distributions may offer better fits in specific scenarios. These findings underscore the CTAD’s potential as a valuable tool in statistical modelling and suggest opportunities for further research and refinement.</p> </div> <div class="article_basic_info"> <table> <tr> <td> <span>Published in</span> </td> <td> <a href="/journal/379/home" target="_blank"><i>International Journal of Statistical Distributions and Applications</i></a> (<a href="/journal/379/archive/3791003" target="_blank">Volume 10, Issue 3</a>) </td> </tr> <tr> <td> <span>DOI</span> </td> <td> <a href="https://doi.org/10.11648/j.ijsd.20241003.12" target="_blank">10.11648/j.ijsd.20241003.12</a> </td> </tr> <tr> <td> <span>Page(s)</span> </td> <td>60-77</td> </tr> <tr> <td> <span>Creative Commons</span> </td> <td> <p class="basic_copyright"><img src="/img/copyright_icon2.png"></p> <p>This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (<a href="http://creativecommons.org/licenses/by/4.0/" target="_blank">http://creativecommons.org/licenses/by/4.0/</a>), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. </p> </td> </tr> <tr> <td> <span>Copyright</span> </td> <td> <p>Copyright © The Author(s), 2024. Published by Science Publishing Group</p> </td> </tr> </table> </div> <div class="pre_next_article clearfix"> <div class="pre"> <a href="/article/10.11648/j.ijsd.20241003.11"><i class="fas fa-chevron-circle-left"></i><span>Previous article</span></a> </div> <div class="next"> <a href="/article/10.11648/j.ijsd.20241004.11"><span>Next article</span><i class="fas fa-chevron-circle-right"></i></a> </div> </div> <div class="section" id="keywords"> <div class="Keywords">Keywords</div> <p class="KeywordsContent">Ailamujia Distribution, Cubic Rank Transmutation, Maximum Likelihood Estimation, Order Statistics, Moments, Simulation</p> </div> <div class="section" id="references"> <div class="Heading1">References</div> <div class="references"> <table class="normal_table"> <tbody> <tr class="References"> <td>[1] </td> <td style="word-break: break-word;"> Adetunji, A. A. (2023). Transmuted Ailamujia Distribution with Applications to Lifetime Observations. American Journal of Pure and Applied Sciences, 21(1), 1-11. <p class="doi_link"> <a href="https://doi.org/10.9734/AJPAS/2023/v21i1452" class="normal_link" target="_blank"> https://doi.org/10.9734/AJPAS/2023/v21i1452 <i class="fas fa-external-link-alt"></i> </a> </p> </td> </tr> <tr class="References"> <td>[2] </td> <td style="word-break: break-word;"> Aijaz, A., Ahmad, A., & Tripathi, R. (2020). Inverse analogue of Ailamujia distribution with statistical properties and applications. Asian Research Journal of Mathematics, 16(9), 36-46. </td> </tr> <tr class="References"> <td>[3] </td> <td style="word-break: break-word;"> AL-Kadim, K. A., & Mohammed, M. H. (2017). The Cubic Transmuted Weibull Distribution. Journal of Babylon University/Pure and Applied Sciences, 25(3), 862-876. </td> </tr> <tr class="References"> <td>[4] </td> <td style="word-break: break-word;"> Burr, I. W. (1942). Cumulative frequency functions. Annals of Mathematical Statistics, 13, 215-232. <p class="doi_link"> <a href="https://doi.org/10.1214/aoms/1177731607" class="normal_link" target="_blank"> https://doi.org/10.1214/aoms/1177731607 <i class="fas fa-external-link-alt"></i> </a> </p> </td> </tr> <tr class="References"> <td>[5] </td> <td style="word-break: break-word;"> Celik, N. (2018). Some Cubic Rank Transmuted Distributions. Journal of Applied Mathematics, Statistics and Informatics, 14(2), 27-43. </td> </tr> <tr class="References"> <td>[6] </td> <td style="word-break: break-word;"> Choulakian, V., & Stephens, M. A. (2001). Goodness- of-fit tests for the generalized Pareto distribution. Technometrics, 43(4), 478-484. </td> </tr> <tr class="References"> <td>[7] </td> <td style="word-break: break-word;"> Cordeiro, G. M., & Castro, M. de. (2011). A new family of generalized distributions. Journal of Statistical Computation and Simulation, 81, 883-898. </td> </tr> <tr class="References"> <td>[8] </td> <td style="word-break: break-word;"> Eugene, N., Lee, C., & Famoye, F. (2002). Beta-normal distribution and its applications. Communications in Statistics-Theory and Methods, 31, 497-512. </td> </tr> <tr class="References"> <td>[9] </td> <td style="word-break: break-word;"> Granzotto, D. C. T., Louzada, F., & Balakrishnan, N. (2017). Cubic Rank Transmuted Distributions: Inferential Issues and Applications. Journal of Statistical Computation and Simulation, 87(14), 2760-2778. </td> </tr> <tr class="References"> <td>[10] </td> <td style="word-break: break-word;"> Marshall, A. W., & Olkin, I. (1997). A new method for adding a parameter to a family of distributions with application to the exponential and Weibull families. Biometrika, 84, 641-652. <p class="doi_link"> <a href="https://doi.org/10.1093/biomet/84.3.641" class="normal_link" target="_blank"> https://doi.org/10.1093/biomet/84.3.641 <i class="fas fa-external-link-alt"></i> </a> </p> </td> </tr> <tr class="References"> <td>[11] </td> <td style="word-break: break-word;"> Lv, H. Q., Gao, L. H., & Chen, C. L. (2002). Ailamujia distribution and its application in supportability data analysis. Journal of Academy of Armored Force Engineering, 16(3), 48-52. </td> </tr> <tr class="References"> <td>[12] </td> <td style="word-break: break-word;"> Our World in Data. (2024). Coronavirus pandemic (COVID-19). <p class="doi_link"> <a href="https://ourworldindata.org/coronavirus" class="normal_link" target="_blank"> https://ourworldindata.org/coronavirus <i class="fas fa-external-link-alt"></i> </a> </p> </td> </tr> <tr class="References"> <td>[13] </td> <td style="word-break: break-word;"> Pan, G. T., Wang, C. L., Huang, Y. B., & Dang, M. T. (2009). The research of interval estimation and hypothetical test of small sample of Ailamujia distribution. Application of Statistics and Management, 28(3), 468-472. </td> </tr> <tr class="References"> <td>[14] </td> <td style="word-break: break-word;"> Pearson, K. (1895). Contributions to the mathematical theory of evolution, II: Skew variation in homogeneous material. Philosophical Transactions of the Royal Society, 186, 343-414. <p class="doi_link"> <a href="https://doi.org/10.1098/rsta.1895.0010" class="normal_link" target="_blank"> https://doi.org/10.1098/rsta.1895.0010 <i class="fas fa-external-link-alt"></i> </a> </p> </td> </tr> <tr class="References"> <td>[15] </td> <td style="word-break: break-word;"> Rather, A., Subramanian, C., Shafi, S., Malik, K. A., Ahmad, P. J., Para, B. A., & Jan, T. A. (2018). New size biased distribution with Applications in Engineering and Medical Science. IJSRMSS, 5(4), 75-85. </td> </tr> <tr class="References"> <td>[16] </td> <td style="word-break: break-word;"> Rahman, M. M., AL-Zahrani, B., & Shahbaz, M. Q. (2018). A General Transmuted Family of Distributions. Pakistan Journal of Statistics and Operation Research, 14(2), 451-469. </td> </tr> <tr class="References"> <td>[17] </td> <td style="word-break: break-word;"> Uzma, J., Kawsar, F., & Ahmad, S. P. (2017). On weighted Ailamujia distribution and its applications to life time data. Journal of Statistics Applications and Probability an International Journal, 6(3), 619-633. </td> </tr> </tbody> </table> </div> </div> <div class="section" id="cite_this_article" style="margin-bottom: 20px;"> <div class="Heading1" style="margin-bottom: 26px;">Cite This Article</div> <div class="cite_article"> <div class="mt-tabpage" js-tab="2"> <div class="mt-tabpage-title"> <a class="mt-tabpage-item mt-tabpage-item-cur">Plain Text</a> <a class="mt-tabpage-item">BibTeX</a> <a class="mt-tabpage-item">RIS</a> </div> <div class="mt-tabpage-count"> <ul class="mt-tabpage-cont__wrap"> <li class="mt-tabpage-item"> <div class="tab_div"> <div class="cite_type"> <p class="cite_type_item">APA Style</p> <p class="cite_type_info apa-copy-src">Manu, J. A., Darkwah, S. (2024). Cubic Transmuted Ailamujia Distribution - Type I: Statistical Properties and Application. <i>International Journal of Statistical Distributions and Applications</i>, <i>10</i>(3), 60-77. <a href='https://doi.org/10.11648/j.ijsd.20241003.12'>https://doi.org/10.11648/j.ijsd.20241003.12</a></p> <p class="cite_operation"> <span><a class="apa-copy copy-el" data-clipboard-action="copy" data-clipboard-target=".apa-copy-src" href="javascript:;" ><img src="/img/copy_icon.png">Copy</a></span> <span class="line">|</span> <span><a href="javascript:;" onclick="spgCommon.bindDownloadDataFromEl("10.11648.j.ijsd.20241003.12.apa.txt", '.apa-copy-src')"><img src="/img/download_icon.png">Download</a></span> </p> </div> <div class="cite_type"> <p class="cite_type_item">ACS Style</p> <p class="cite_type_info acs-copy-src">Manu, J. A.; Darkwah, S. Cubic Transmuted Ailamujia Distribution - Type I: Statistical Properties and Application. <i>Int. J. Stat. Distrib. Appl.</i> <b>2024</b>, <i>10</i>(3), 60-77. <a href='https://doi.org/10.11648/j.ijsd.20241003.12'>doi: 10.11648/j.ijsd.20241003.12</a></p> <p class="cite_operation"> <span><a class="acs-copy copy-el" data-clipboard-action="copy" data-clipboard-target=".acs-copy-src" href="javascript:;"><img src="/img/copy_icon.png">Copy</a></span> <span class="line">|</span> <span><a href="javascript:;" onclick="spgCommon.bindDownloadDataFromEl("10.11648.j.ijsd.20241003.12.acs.txt", '.acs-copy-src')"><img src="/img/download_icon.png">Download</a></span> </p> </div> <div class="cite_type"> <p class="cite_type_item">AMA Style</p> <p class="cite_type_info ama-copy-src">Manu JA, Darkwah S. Cubic Transmuted Ailamujia Distribution - Type I: Statistical Properties and Application. <i>Int J Stat Distrib Appl</i>. 2024;10(3):60-77. <a href='https://doi.org/10.11648/j.ijsd.20241003.12'>doi: 10.11648/j.ijsd.20241003.12</a></p> <p class="cite_operation"> <span><a class="ama-copy copy-el" data-clipboard-action="copy" data-clipboard-target=".ama-copy-src" href="javascript:;"><img src="/img/copy_icon.png">Copy</a></span> <span class="line">|</span> <span><a href="javascript:;" onclick="spgCommon.bindDownloadDataFromEl("10.11648.j.ijsd.20241003.12.ama.txt", '.ama-copy-src')"><img src="/img/download_icon.png">Download</a></span> </p> </div> </div> </li> <li class="mt-tabpage-item"> <div class="tab_div"> <pre _ngcontent-anj-c150="" class="text ris-text bib-copy-src main_content_citetext">@article{10.11648/j.ijsd.20241003.12, author = {Jones Asante Manu and Samuel Darkwah}, title = {Cubic Transmuted Ailamujia Distribution - Type I: Statistical Properties and Application}, journal = {International Journal of Statistical Distributions and Applications}, volume = {10}, number = {3}, pages = {60-77}, doi = {10.11648/j.ijsd.20241003.12}, url = {https://doi.org/10.11648/j.ijsd.20241003.12}, eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijsd.20241003.12}, abstract = {This study introduces and evaluates the Cubic Transmuted Ailamujia Distribution (CTAD), a novel distribution developed using CRT-type I as a generator and the Ailamujia distribution as a baseline. We derived several statistical quantities, including density and distribution functions, hazard and survival functions, moments, and order statistics. The performance of the CTAD was compared against several established models using three distinct datasets: exceedances of flood peaks from the Wheaton River (Dataset I), cumulative COVID-19 death counts for Ghana (Dataset II), and daily confirmed COVID-19 cases for Ghana (Dataset III). The CTAD showed competitive performance, often outperforming traditional models such as the QTAD and Ailamujia distributions in Dataset I, and demonstrating strong performance relative to the CTGD, CTFD, and CTWD distributions in Dataset II. In Dataset III, while the CTAD was competitive, it was outperformed by the EWD and GGD in terms of AIC and BIC. Overall, the CTAD proves to be a robust and flexible distribution for modelling complex data patterns, though alternative distributions may offer better fits in specific scenarios. These findings underscore the CTAD’s potential as a valuable tool in statistical modelling and suggest opportunities for further research and refinement.}, year = {2024} } </pre> <p class="cite_operation"> <span><a class="bib-copy copy-el" data-clipboard-action="copy" data-clipboard-target=".bib-copy-src" href="javascript:;"><img src="/img/copy_icon.png">Copy</a></span> <span class="line">|</span> <span><a href="javascript:;" onclick="spgCommon.bindDownloadDataFromEl("10.11648.j.ijsd.20241003.12.bib", '.bib-copy-src')"><img src="/img/download_icon.png">Download</a></span> </p> </div> </li> <li class="mt-tabpage-item"> <div class="tab_div"> <pre _ngcontent-anj-c150="" class="text ris-text ris-copy-src main_content_citetext">TY - JOUR T1 - Cubic Transmuted Ailamujia Distribution - Type I: Statistical Properties and Application AU - Jones Asante Manu AU - Samuel Darkwah Y1 - 2024/10/31 PY - 2024 N1 - https://doi.org/10.11648/j.ijsd.20241003.12 DO - 10.11648/j.ijsd.20241003.12 T2 - International Journal of Statistical Distributions and Applications JF - International Journal of Statistical Distributions and Applications JO - International Journal of Statistical Distributions and Applications SP - 60 EP - 77 PB - Science Publishing Group SN - 2472-3509 UR - https://doi.org/10.11648/j.ijsd.20241003.12 AB - This study introduces and evaluates the Cubic Transmuted Ailamujia Distribution (CTAD), a novel distribution developed using CRT-type I as a generator and the Ailamujia distribution as a baseline. We derived several statistical quantities, including density and distribution functions, hazard and survival functions, moments, and order statistics. The performance of the CTAD was compared against several established models using three distinct datasets: exceedances of flood peaks from the Wheaton River (Dataset I), cumulative COVID-19 death counts for Ghana (Dataset II), and daily confirmed COVID-19 cases for Ghana (Dataset III). The CTAD showed competitive performance, often outperforming traditional models such as the QTAD and Ailamujia distributions in Dataset I, and demonstrating strong performance relative to the CTGD, CTFD, and CTWD distributions in Dataset II. In Dataset III, while the CTAD was competitive, it was outperformed by the EWD and GGD in terms of AIC and BIC. Overall, the CTAD proves to be a robust and flexible distribution for modelling complex data patterns, though alternative distributions may offer better fits in specific scenarios. These findings underscore the CTAD’s potential as a valuable tool in statistical modelling and suggest opportunities for further research and refinement. VL - 10 IS - 3 ER - </pre> <p class="cite_operation"> <span><a class="ris-copy copy-el" data-clipboard-action="copy" data-clipboard-target=".ris-copy-src" href="javascript:;"><img src="/img/copy_icon.png">Copy</a></span> <span class="line">|</span> <span><a href="javascript:;" onclick="spgCommon.bindDownloadDataFromEl("10.11648.j.ijsd.20241003.12.ris", '.ris-copy-src')"><img src="/img/download_icon.png">Download</a></span> </p> </div> </li> </ul> </div> </div> </div> </div> <div class="section" id="author_information" style="margin-top: 0px; margin-bottom: 50px;"> <div class="Heading1" style="margin-bottom: 26px;">Author Information</div> <div class="author_information"> <ul> <li> <div class="author_info"> <p class="article_author_name">Jones Asante Manu</p> <p class="Affiliation">Business Studies Department, Lancaster University Ghana, Accra, Ghana</p> <div class="contact_info"> <input type="hidden" class="person-id" value="10732775"> <p><img src="/img/email_icon.png"><a href="javascript:;" class="EmailAddress btn-email" data-toggle="modal" data-target="#emailModalScrollable">Contact Email</a></p> <p><img src="/img/orcid_icon.png"><a href="http://orcid.org/0009-0008-5147-6128" target="_blank" class="normal_link">http://orcid.org/0009-0008-5147-6128<i class="fas fa-external-link-alt"></i></a></p> </div> </div> </li> <li> <div class="author_info"> <p class="article_author_name">Samuel Darkwah</p> <p class="Affiliation">Mathematics Department, Methodist University Ghana, Accra, Ghana</p> <div class="contact_info"> <input type="hidden" class="person-id" value="10732776"> <p><img src="/img/email_icon.png"><a href="javascript:;" class="EmailAddress btn-email" data-toggle="modal" data-target="#emailModalScrollable">Contact Email</a></p> <p><img src="/img/orcid_icon.png"><a href="http://orcid.org/0009-0002-9215-6143" target="_blank" class="normal_link">http://orcid.org/0009-0002-9215-6143<i class="fas fa-external-link-alt"></i></a></p> </div> </div> </li> 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<div class="mt-tabpage-count_puple puple_cite"> <ul class="mt-tabpage-cont__wrap"> <li class="mt-tabpage-item puple_cite"> <div class="tab_div"> <div class="cite_type_puple"> <p class="cite_type_item">APA Style</p> <p class="cite_type_info apa-copy-pop-src">Manu, J. A., Darkwah, S. (2024). Cubic Transmuted Ailamujia Distribution - Type I: Statistical Properties and Application. <i>International Journal of Statistical Distributions and Applications</i>, <i>10</i>(3), 60-77. <a href='https://doi.org/10.11648/j.ijsd.20241003.12'>https://doi.org/10.11648/j.ijsd.20241003.12</a></p> <p class="cite_operation"> <span><a class="apa-copy-pop copy-el" data-clipboard-action="copy" data-clipboard-target=".apa-copy-pop-src" href="javascript:;"><img src="/img/copy_icon.png">Copy</a></span> <span class="line">|</span> <span><a href="javascript:;" onclick="spgCommon.bindDownloadDataFromEl("10.11648.j.ijsd.20241003.12.apa.txt", '.apa-copy-pop-src')"><img src="/img/download_icon.png">Download</a></span> </p> </div> <div class="cite_type_puple"> <p class="cite_type_item">ACS Style</p> <p class="cite_type_info acs-copy-pop-src">Manu, J. A.; Darkwah, S. Cubic Transmuted Ailamujia Distribution - Type I: Statistical Properties and Application. <i>Int. J. Stat. Distrib. Appl.</i> <b>2024</b>, <i>10</i>(3), 60-77. <a href='https://doi.org/10.11648/j.ijsd.20241003.12'>doi: 10.11648/j.ijsd.20241003.12</a></p> <p class="cite_operation"> <span><a class="acs-copy-pop copy-el" data-clipboard-action="copy" data-clipboard-target=".acs-copy-pop-src" href="javascript:;"><img src="/img/copy_icon.png">Copy</a></span> <span class="line">|</span> <span><a href="javascript:;" onclick="spgCommon.bindDownloadDataFromEl("10.11648.j.ijsd.20241003.12.acs.txt", '.acs-copy-pop-src')"><img src="/img/download_icon.png">Download</a></span> </p> </div> <div class="cite_type_puple"> <p class="cite_type_item">AMA Style</p> <p class="cite_type_info ama-copy-pop-src">Manu JA, Darkwah S. Cubic Transmuted Ailamujia Distribution - Type I: Statistical Properties and Application. <i>Int J Stat Distrib Appl</i>. 2024;10(3):60-77. <a href='https://doi.org/10.11648/j.ijsd.20241003.12'>doi: 10.11648/j.ijsd.20241003.12</a></p> <p class="cite_operation"> <span><a class="ama-copy-pop copy-el" data-clipboard-action="copy" data-clipboard-target=".ama-copy-pop-src" href="javascript:;"><img src="/img/copy_icon.png">Copy</a></span> <span class="line">|</span> <span><a href="javascript:;" onclick="spgCommon.bindDownloadDataFromEl("10.11648.j.ijsd.20241003.12.ama.txt", '.ama-copy-pop-src')"><img src="/img/download_icon.png">Download</a></span> </p> </div> </div> </li> <li class="mt-tabpage-item puple_cite"> <div class="tab_div"> <pre _ngcontent-anj-c150="" class="text ris-text bib-copy-pop-src">@article{10.11648/j.ijsd.20241003.12, author = {Jones Asante Manu and Samuel Darkwah}, title = {Cubic Transmuted Ailamujia Distribution - Type I: Statistical Properties and Application}, journal = {International Journal of Statistical Distributions and Applications}, volume = {10}, number = {3}, pages = {60-77}, doi = {10.11648/j.ijsd.20241003.12}, url = {https://doi.org/10.11648/j.ijsd.20241003.12}, eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijsd.20241003.12}, abstract = {This study introduces and evaluates the Cubic Transmuted Ailamujia Distribution (CTAD), a novel distribution developed using CRT-type I as a generator and the Ailamujia distribution as a baseline. We derived several statistical quantities, including density and distribution functions, hazard and survival functions, moments, and order statistics. The performance of the CTAD was compared against several established models using three distinct datasets: exceedances of flood peaks from the Wheaton River (Dataset I), cumulative COVID-19 death counts for Ghana (Dataset II), and daily confirmed COVID-19 cases for Ghana (Dataset III). The CTAD showed competitive performance, often outperforming traditional models such as the QTAD and Ailamujia distributions in Dataset I, and demonstrating strong performance relative to the CTGD, CTFD, and CTWD distributions in Dataset II. In Dataset III, while the CTAD was competitive, it was outperformed by the EWD and GGD in terms of AIC and BIC. Overall, the CTAD proves to be a robust and flexible distribution for modelling complex data patterns, though alternative distributions may offer better fits in specific scenarios. These findings underscore the CTAD’s potential as a valuable tool in statistical modelling and suggest opportunities for further research and refinement.}, year = {2024} } </pre> <p class="cite_operation"> <span><a class="bib-copy-pop copy-el" data-clipboard-action="copy" data-clipboard-target=".bib-copy-pop-src" href="javascript:;"><img src="/img/copy_icon.png">Copy</a></span> <span class="line">|</span> <span><a href="javascript:;" onclick="spgCommon.bindDownloadDataFromEl("10.11648.j.ijsd.20241003.12.bib", '.bib-copy-pop-src')"><img src="/img/download_icon.png">Download</a></span> </p> </div> </li> <li class="mt-tabpage-item puple_cite"> <div class="tab_div"> <pre _ngcontent-anj-c150="" class="text ris-text ris-copy-pop-src">TY - JOUR T1 - Cubic Transmuted Ailamujia Distribution - Type I: Statistical Properties and Application AU - Jones Asante Manu AU - Samuel Darkwah Y1 - 2024/10/31 PY - 2024 N1 - https://doi.org/10.11648/j.ijsd.20241003.12 DO - 10.11648/j.ijsd.20241003.12 T2 - International Journal of Statistical Distributions and Applications JF - International Journal of Statistical Distributions and Applications JO - International Journal of Statistical Distributions and Applications SP - 60 EP - 77 PB - Science Publishing Group SN - 2472-3509 UR - https://doi.org/10.11648/j.ijsd.20241003.12 AB - This study introduces and evaluates the Cubic Transmuted Ailamujia Distribution (CTAD), a novel distribution developed using CRT-type I as a generator and the Ailamujia distribution as a baseline. We derived several statistical quantities, including density and distribution functions, hazard and survival functions, moments, and order statistics. The performance of the CTAD was compared against several established models using three distinct datasets: exceedances of flood peaks from the Wheaton River (Dataset I), cumulative COVID-19 death counts for Ghana (Dataset II), and daily confirmed COVID-19 cases for Ghana (Dataset III). The CTAD showed competitive performance, often outperforming traditional models such as the QTAD and Ailamujia distributions in Dataset I, and demonstrating strong performance relative to the CTGD, CTFD, and CTWD distributions in Dataset II. In Dataset III, while the CTAD was competitive, it was outperformed by the EWD and GGD in terms of AIC and BIC. Overall, the CTAD proves to be a robust and flexible distribution for modelling complex data patterns, though alternative distributions may offer better fits in specific scenarios. These findings underscore the CTAD’s potential as a valuable tool in statistical modelling and suggest opportunities for further research and refinement. VL - 10 IS - 3 ER - </pre> <p class="cite_operation"> <span><a class="ris-copy-pop copy-el" data-clipboard-action="copy" data-clipboard-target=".ris-copy-pop-src" href="javascript:;"><img src="/img/copy_icon.png">Copy</a></span> <span class="line">|</span> <span><a href="javascript:;" onclick="spgCommon.bindDownloadDataFromEl("10.11648.j.ijsd.20241003.12.ris", '.ris-copy-pop-src')"><img src="/img/download_icon.png">Download</a></span> </p> </div> </li> </ul> </div> </div> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-secondary" data-dismiss="modal">Cancel</button> </div> </div> </div> </div> <div class="modal fade" id="downloadValidationModal" tabindex="-1" aria-labelledby="exampleModalScrollableTitle" aria-hidden="true"> <div class="modal-dialog modal-dialog-scrollable modal-lg modal-dialog-centered"> <div class="modal-content"> <div class="modal-header"> <h5 class="modal-title">Verification Code</h5> <button type="button" class="close" 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