Directional Statistics for Innovative Applications: A Bicentennial Tribute to Florence Nightingale

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special contributed book pays a statistical tribute to Florence Nightingale. This book presents recent phenomenal developments, both in rigorous theory as well as in emerging methods, for applications in directional statistics, in 25 chapters with contributions from 65 renowned researchers from 25 countries. With the advent of modern techniques in statistical paradigms and statistical machine learning, directional statistics has become an indispensable tool. Ranging from data on circles to that on the spheres, tori and cylinders, this book includes solutions to problems on exploratory data analysis, probability distributions on manifolds, maximum entropy, directional regression analysis, spatio-directional time series, optimal inference, simulation, statistical machine learning with big data, and more, with their innovative applications to emerging real-life problems in astro-statistics, bioinformatics, crystallography, optimal transport, statistical process control, and so on.<p></p> </div> </section> <section aria-labelledby="inline-recommendations" data-title="Inline Recommendations" class="c-article-recommendations" data-track-component="inline-recommendations"> <h3 class="c-article-recommendations-title" id="inline-recommendations">Similar content being viewed by others</h3> <div class="c-article-recommendations-list"> <div class="c-article-recommendations-list__item"> <article class="c-article-recommendations-card" itemscope itemtype="http://schema.org/ScholarlyArticle"> <div class="c-article-recommendations-card__img"><img src="https://media.springernature.com/w215h120/springer-static/image/art%3Aplaceholder%2Fimages/placeholder-figure-springernature.png" loading="lazy" alt=""></div> <div class="c-article-recommendations-card__main"> <h3 class="c-article-recommendations-card__heading" itemprop="name headline"> <a class="c-article-recommendations-card__link" itemprop="url" href="https://link.springer.com/10.1007/s11749-021-00759-x?fromPaywallRec=true" data-track="select_recommendations_1" data-track-context="inline recommendations" data-track-action="click recommendations inline - 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Front Matter" data-track-label="link" href="/content/pdf/bfm:978-981-19-1044-9/1" download class="c-pdf-chapter-download__link"><span class="c-pdf-chapter-download__link--hide-small-screen">Download chapter</span> PDF <svg aria-hidden="true" focusable="false" width="16" height="16"> <use xlink:href="#icon-eds-i-download-medium"></use> </svg> </a> </div> </div> </li> <li> <div class="c-card__body u-display-flex u-justify-content-space-between"> <div style="width: 100%"> <h3 class="c-book-part-heading--underline" data-title="part-title">Quality of Life</h3> <ol class="u-list-reset"> <li data-test="chapter"> <div class="app-card-open app-card-open--has-download-link"> <div class="app-card-open__main"> <h4 class="app-card-open__heading" data-test="front-matter">Front Matter</h4> <div class="c-meta"><span class="c-meta__item u-display-inline-block" data-test="page-number">Pages 1-1</span> </div> </div> <div class="app-card-open__side"> <a data-test="front-matter-pdf" data-track="content_download" data-track-context="book TOC" data-track-type="chapter pdf download" data-track-action="Toc - Front Matter" data-track-label="link" href="/content/pdf/bfm:978-981-19-1044-9/1/1" download class="c-pdf-chapter-download__link"><span class="c-pdf-chapter-download__link--hide-small-screen">Download chapter</span> PDF <svg aria-hidden="true" focusable="false" width="16" height="16"> <use xlink:href="#icon-eds-i-download-medium"></use> </svg> </a> </div> </div> </li> <li data-test="chapter"> <div class="app-card-open app-card-open--has-download-link"> <div class="app-card-open__main"> <h4 class="app-card-open__heading" data-test="chapter-title-Florence Nightingale, Quality of Life and Statistics"> <a href="/chapter/10.1007/978-981-19-1044-9_1" data-track="click_book_toc" data-track-action="ToC link to content page" data-track-label="link" >Florence Nightingale, Quality of Life and Statistics</a> </h4> <ul class="c-author-list c-author-list--compact u-mb-4 u-mt-auto"> <li class="c-author-list__item">Shyama Prasad Mukherjee</li> </ul> <div class="c-meta"><span class="c-meta__item u-display-inline-block" data-test="page-number">Pages 3-12</span> </div> </div> </div> </li> </ol> </div> </div> </li> <li> <div class="c-card__body u-display-flex u-justify-content-space-between"> <div style="width: 100%"> <h3 class="c-book-part-heading--underline" data-title="part-title">Innovative Applications</h3> <ol class="u-list-reset"> <li data-test="chapter"> <div class="app-card-open app-card-open--has-download-link"> <div class="app-card-open__main"> <h4 class="app-card-open__heading" data-test="front-matter">Front Matter</h4> <div class="c-meta"><span class="c-meta__item u-display-inline-block" data-test="page-number">Pages 13-13</span> </div> </div> <div class="app-card-open__side"> <a data-test="front-matter-pdf" data-track="content_download" data-track-context="book TOC" data-track-type="chapter pdf download" data-track-action="Toc - Front Matter" data-track-label="link" href="/content/pdf/bfm:978-981-19-1044-9/2/1" download class="c-pdf-chapter-download__link"><span class="c-pdf-chapter-download__link--hide-small-screen">Download chapter</span> PDF <svg aria-hidden="true" focusable="false" width="16" height="16"> <use xlink:href="#icon-eds-i-download-medium"></use> </svg> </a> </div> </div> </li> <li data-test="chapter"> <div class="app-card-open app-card-open--has-download-link"> <div class="app-card-open__main"> <h4 class="app-card-open__heading" data-test="chapter-title-Mixture Models for Spherical Data with Applications to Protein Bioinformatics"> <a href="/chapter/10.1007/978-981-19-1044-9_2" data-track="click_book_toc" data-track-action="ToC link to content page" data-track-label="link" >Mixture Models for Spherical Data with Applications to Protein Bioinformatics</a> </h4> <ul class="c-author-list c-author-list--compact u-mb-4 u-mt-auto"> <li class="c-author-list__item">Kanti V. Mardia, Stuart Barber, Philippa M. Burdett, John T. Kent, Thomas Hamelryck</li> </ul> <div class="c-meta"><span class="c-meta__item u-display-inline-block" data-test="page-number">Pages 15-32</span> </div> </div> </div> </li> <li data-test="chapter"> <div class="app-card-open app-card-open--has-download-link"> <div class="app-card-open__main"> <h4 class="app-card-open__heading" data-test="chapter-title-Statistics of Orientation Relationships in Crystallography"> <a href="/chapter/10.1007/978-981-19-1044-9_3" data-track="click_book_toc" data-track-action="ToC link to content page" data-track-label="link" >Statistics of Orientation Relationships in Crystallography</a> </h4> <ul class="c-author-list c-author-list--compact u-mb-4 u-mt-auto"> <li class="c-author-list__item">Richard Arnold, Peter Jupp, Helmut Schaeben</li> </ul> <div class="c-meta"><span class="c-meta__item u-display-inline-block" data-test="page-number">Pages 33-55</span> </div> </div> </div> </li> <li data-test="chapter"> <div class="app-card-open app-card-open--has-download-link"> <div class="app-card-open__main"> <h4 class="app-card-open__heading" data-test="chapter-title-The Statistics of Circular Optimal Transport"> <a href="/chapter/10.1007/978-981-19-1044-9_4" data-track="click_book_toc" data-track-action="ToC link to content page" data-track-label="link" >The Statistics of Circular Optimal Transport</a> </h4> <ul class="c-author-list c-author-list--compact u-mb-4 u-mt-auto"> <li class="c-author-list__item">Shayan Hundrieser, Marcel Klatt, Axel Munk</li> </ul> <div class="c-meta"><span class="c-meta__item u-display-inline-block" data-test="page-number">Pages 57-82</span> </div> </div> </div> </li> <li data-test="chapter"> <div class="app-card-open app-card-open--has-download-link"> <div class="app-card-open__main"> <h4 class="app-card-open__heading" data-test="chapter-title-Modelling the Movement of Magnetic North"> <a href="/chapter/10.1007/978-981-19-1044-9_5" data-track="click_book_toc" data-track-action="ToC link to content page" data-track-label="link" >Modelling the Movement of Magnetic North</a> </h4> <ul class="c-author-list c-author-list--compact u-mb-4 u-mt-auto"> <li class="c-author-list__item">M. Di Marzio, A. Panzera, S. Fensore, C. C. Taylor</li> </ul> <div class="c-meta"><span class="c-meta__item u-display-inline-block" data-test="page-number">Pages 83-92</span> </div> </div> </div> </li> <li data-test="chapter"> <div class="app-card-open app-card-open--has-download-link"> <div class="app-card-open__main"> <h4 class="app-card-open__heading" data-test="chapter-title-Flexible Circular Modeling: A Case Study of Car Accidents"> <a href="/chapter/10.1007/978-981-19-1044-9_6" data-track="click_book_toc" data-track-action="ToC link to content page" data-track-label="link" >Flexible Circular Modeling: A Case Study of Car Accidents</a> </h4> <ul class="c-author-list c-author-list--compact u-mb-4 u-mt-auto"> <li class="c-author-list__item">Jose Ameijeiras-Alonso, Rosa M. Crujeiras</li> </ul> <div class="c-meta"><span class="c-meta__item u-display-inline-block" data-test="page-number">Pages 93-116</span> </div> </div> </div> </li> </ol> </div> </div> </li> <li> <div class="c-card__body u-display-flex u-justify-content-space-between"> <div style="width: 100%"> <h3 class="c-book-part-heading--underline" data-title="part-title">Data Visualization, Simulation and Transformations</h3> <ol class="u-list-reset"> <li data-test="chapter"> <div class="app-card-open app-card-open--has-download-link"> <div class="app-card-open__main"> <h4 class="app-card-open__heading" data-test="front-matter">Front Matter</h4> <div class="c-meta"><span class="c-meta__item u-display-inline-block" data-test="page-number">Pages 117-117</span> </div> </div> <div class="app-card-open__side"> <a data-test="front-matter-pdf" data-track="content_download" data-track-context="book TOC" data-track-type="chapter pdf download" data-track-action="Toc - Front Matter" data-track-label="link" href="/content/pdf/bfm:978-981-19-1044-9/3/1" download class="c-pdf-chapter-download__link"><span class="c-pdf-chapter-download__link--hide-small-screen">Download chapter</span> PDF <svg aria-hidden="true" focusable="false" width="16" height="16"> <use xlink:href="#icon-eds-i-download-medium"></use> </svg> </a> </div> </div> </li> <li data-test="chapter"> <div class="app-card-open app-card-open--has-download-link"> <div class="app-card-open__main"> <h4 class="app-card-open__heading" data-test="chapter-title-Simulation and Visualization of 3D-Spherical Distributions"> <a href="/chapter/10.1007/978-981-19-1044-9_7" data-track="click_book_toc" data-track-action="ToC link to content page" data-track-label="link" >Simulation and Visualization of 3D-Spherical Distributions</a> </h4> <ul class="c-author-list c-author-list--compact u-mb-4 u-mt-auto"> <li class="c-author-list__item">S. Rao Jammalamadaka, Gyorgy Terdik</li> </ul> <div class="c-meta"><span class="c-meta__item u-display-inline-block" data-test="page-number">Pages 119-145</span> </div> </div> </div> </li> <li data-test="chapter"> <div class="app-card-open app-card-open--has-download-link"> <div class="app-card-open__main"> <h4 class="app-card-open__heading" data-test="chapter-title-Transformations to Improve the Approximation by a von Mises Distribution"> <a href="/chapter/10.1007/978-981-19-1044-9_8" data-track="click_book_toc" data-track-action="ToC link to content page" data-track-label="link" >Transformations to Improve the Approximation by a von Mises Distribution</a> </h4> <ul class="c-author-list c-author-list--compact u-mb-4 u-mt-auto"> <li class="c-author-list__item">Richard A. Johnson</li> </ul> <div class="c-meta"><span class="c-meta__item u-display-inline-block" data-test="page-number">Pages 147-158</span> </div> </div> </div> </li> </ol> </div> </div> </li> <li> <div class="c-card__body u-display-flex u-justify-content-space-between"> <div style="width: 100%"> <h3 class="c-book-part-heading--underline" data-title="part-title">Distribution Theory and Parametric Inference</h3> <ol class="u-list-reset"> <li data-test="chapter"> <div class="app-card-open app-card-open--has-download-link"> <div class="app-card-open__main"> <h4 class="app-card-open__heading" data-test="front-matter">Front Matter</h4> <div class="c-meta"><span class="c-meta__item u-display-inline-block" data-test="page-number">Pages 159-159</span> </div> </div> <div class="app-card-open__side"> <a data-test="front-matter-pdf" data-track="content_download" data-track-context="book TOC" data-track-type="chapter pdf download" data-track-action="Toc - Front Matter" data-track-label="link" href="/content/pdf/bfm:978-981-19-1044-9/4/1" download class="c-pdf-chapter-download__link"><span class="c-pdf-chapter-download__link--hide-small-screen">Download chapter</span> PDF <svg aria-hidden="true" focusable="false" width="16" height="16"> <use xlink:href="#icon-eds-i-download-medium"></use> </svg> </a> </div> </div> </li> <li data-test="chapter"> <div class="app-card-open app-card-open--has-download-link"> <div class="app-card-open__main"> <h4 class="app-card-open__heading" data-test="chapter-title-Generalized Skew-Symmetric Circular and Toroidal Distributions"> <a href="/chapter/10.1007/978-981-19-1044-9_9" data-track="click_book_toc" data-track-action="ToC link to content page" data-track-label="link" >Generalized Skew-Symmetric Circular and Toroidal Distributions</a> </h4> <ul class="c-author-list c-author-list--compact u-mb-4 u-mt-auto"> <li class="c-author-list__item">Andriette Bekker, Najmeh Nakhaei Rad, Mohammad Arashi, Christophe Ley</li> </ul> <div class="c-meta"><span class="c-meta__item u-display-inline-block" data-test="page-number">Pages 161-186</span> </div> </div> </div> </li> <li data-test="chapter"> <div class="app-card-open app-card-open--has-download-link"> <div class="app-card-open__main"> <h4 class="app-card-open__heading" data-test="chapter-title-Information Theoretic Results for Stationary Time Series and the Gaussian-Generalized von Mises Time Series"> <a href="/chapter/10.1007/978-981-19-1044-9_10" data-track="click_book_toc" data-track-action="ToC link to content page" data-track-label="link" >Information Theoretic Results for Stationary Time Series and the Gaussian-Generalized von Mises Time Series</a> </h4> <ul class="c-author-list c-author-list--compact u-mb-4 u-mt-auto"> <li class="c-author-list__item">Riccardo Gatto</li> </ul> <div class="c-meta"><span class="c-meta__item u-display-inline-block" data-test="page-number">Pages 187-209</span> </div> </div> </div> </li> <li data-test="chapter"> <div class="app-card-open app-card-open--has-download-link"> <div class="app-card-open__main"> <h4 class="app-card-open__heading" data-test="chapter-title-A Circular Distribution Constructed from the Product of Cardioid-Type Densities with (Hyper-) Toroidal Extension"> <a href="/chapter/10.1007/978-981-19-1044-9_11" data-track="click_book_toc" data-track-action="ToC link to content page" data-track-label="link" >A Circular Distribution Constructed from the Product of Cardioid-Type Densities with (Hyper-) Toroidal Extension</a> </h4> <ul class="c-author-list c-author-list--compact u-mb-4 u-mt-auto"> <li class="c-author-list__item">Kunio Shimizu, Tomoaki Imoto</li> </ul> <div class="c-meta"><span class="c-meta__item u-display-inline-block" data-test="page-number">Pages 211-227</span> </div> </div> </div> </li> <li data-test="chapter"> <div class="app-card-open app-card-open--has-download-link"> <div class="app-card-open__main"> <h4 class="app-card-open__heading" data-test="chapter-title-On Some Flexible Models for Circular, Toroidal, and Cylindrical Data"> <a href="/chapter/10.1007/978-981-19-1044-9_12" data-track="click_book_toc" data-track-action="ToC link to content page" data-track-label="link" >On Some Flexible Models for Circular, Toroidal, and Cylindrical Data</a> </h4> <ul class="c-author-list c-author-list--compact u-mb-4 u-mt-auto"> <li class="c-author-list__item">Toshihiro Abe, Tomoaki Imoto, Takayuki Shiohama, Yoichi Miyata</li> </ul> <div class="c-meta"><span class="c-meta__item u-display-inline-block" data-test="page-number">Pages 229-243</span> </div> </div> </div> </li> <li data-test="chapter"> <div class="app-card-open app-card-open--has-download-link"> <div class="app-card-open__main"> <h4 class="app-card-open__heading" data-test="chapter-title-Bivariate Cardioid Distributions"> <a href="/chapter/10.1007/978-981-19-1044-9_13" data-track="click_book_toc" data-track-action="ToC link to content page" data-track-label="link" >Bivariate Cardioid Distributions</a> </h4> <ul class="c-author-list c-author-list--compact u-mb-4 u-mt-auto"> <li class="c-author-list__item">Seng-Huat Ong, Ashis SenGupta</li> </ul> <div class="c-meta"><span class="c-meta__item u-display-inline-block" data-test="page-number">Pages 245-262</span> </div> </div> </div> </li> <li data-test="chapter"> <div class="app-card-open app-card-open--has-download-link"> <div class="app-card-open__main"> <h4 class="app-card-open__heading" data-test="chapter-title-Statistical Inference Using the Three-Parameter Generalized von Mises Distribution and Outlier Detection Method for Asymmetrically Distributed Circular Data"> <a href="/chapter/10.1007/978-981-19-1044-9_14" data-track="click_book_toc" data-track-action="ToC link to content page" data-track-label="link" >Statistical Inference Using the Three-Parameter Generalized von Mises Distribution and Outlier Detection Method for Asymmetrically Distributed Circular Data</a> </h4> <ul class="c-author-list c-author-list--compact u-mb-4 u-mt-auto"> <li class="c-author-list__item">Sungsu Kim, Abeku A. Asare-Kumi</li> </ul> <div class="c-meta"><span class="c-meta__item u-display-inline-block" data-test="page-number">Pages 263-279</span> </div> </div> </div> </li> </ol> </div> </div> </li> <li> <div class="c-card__body u-display-flex u-justify-content-space-between"> <div style="width: 100%"> <h3 class="c-book-part-heading--underline" data-title="part-title">Regression Analysis</h3> <ol class="u-list-reset"> <li data-test="chapter"> <div class="app-card-open app-card-open--has-download-link"> <div class="app-card-open__main"> <h4 class="app-card-open__heading" data-test="front-matter">Front Matter</h4> <div class="c-meta"><span class="c-meta__item u-display-inline-block" data-test="page-number">Pages 281-281</span> </div> </div> <div class="app-card-open__side"> <a data-test="front-matter-pdf" data-track="content_download" data-track-context="book TOC" data-track-type="chapter pdf download" data-track-action="Toc - Front Matter" data-track-label="link" href="/content/pdf/bfm:978-981-19-1044-9/5/1" download class="c-pdf-chapter-download__link"><span class="c-pdf-chapter-download__link--hide-small-screen">Download chapter</span> PDF <svg aria-hidden="true" focusable="false" width="16" height="16"> <use xlink:href="#icon-eds-i-download-medium"></use> </svg> </a> </div> </div> </li> </ol> </div> </div> </li> </ol> <nav data-test="book-pagination" class="c-book-toc-pagination u-display-flex u-justify-content-center" role="navigation" aria-label="Pagination Navigation"> <ul class="eds-c-pagination"> <li class="eds-c-pagination__item"> <a href="/book/10.1007/978-981-19-1044-9?page=1#toc" class="eds-c-pagination__link eds-c-pagination__link--active" aria-label="Page 1" aria-current="page"> 1 </a> </li> <li class="eds-c-pagination__item"> <a href="/book/10.1007/978-981-19-1044-9?page=2#toc" class="eds-c-pagination__link" aria-label="Page 2"> 2 </a> </li> <li class="eds-c-pagination__item eds-c-pagination__item--next"> <a href="/book/10.1007/978-981-19-1044-9?page=2#toc" rel="next" class="eds-c-pagination__link" data-test="next-page"> <div class="eds-c-pagination__link-container"> <span>Next<span class="eds-c-pagination__visually-hidden" data-test="previous-page-disabled"> page</span></span> <svg class="eds-c-pagination__icon" aria-hidden="true" focusable="false"> <use xlink:href="#icon-eds-i-chevron-right-medium"></use> </svg> </div> </a> </li> </ul> </nav> <div class="c-book-section__back-to-top"> <a class="eds-c-button eds-c-button--secondary" href="#back-to-top"> <span>Back to top</span> <svg aria-hidden="true" focusable="false" width="16" height="16" class="u-icon"> <use xlink:href="#icon-eds-i-arrow-up-medium"></use> </svg> </a> </div> </section> </div> </section> <section data-title="Authors and Affiliations"> <h2 class="c-book-heading--underline js-section-title js-c-reading-companion-sections-item" id="affiliations">Editors and Affiliations</h2> <div class="c-book-section"> <ul class="app-author-affiliation-list" data-test="affiliations"> <li class="app-author-affiliation-list__item"> <h3 class="app-author-affiliation-list__title"> Applied Statistics Unit, Indian Statistical Institute, Kolkata, India </h3> <p class=""> Ashis SenGupta </p> </li> <li class="app-author-affiliation-list__item"> <h3 class="app-author-affiliation-list__title"> Department of Statistics, University of California, Riverside, USA </h3> <p class=""> Barry C. Arnold </p> </li> </ul> </div> </section> <section data-title="About the authors"> <h2 class="c-book-heading--underline js-section-title js-c-reading-companion-sections-item" id="about-authors">About the editors</h2> <div class="c-book-section u-serif"> <p><b>Ashis SenGupta</b> is Adjunct Professor at Augusta University, Georgia, USA; Distinguished Professor at Middle East Technical University, Turkey; and Advisor/Consultant at the Indian Statistical Institute, Kolkata, India. He completed his Ph.D. from Ohio State University, USA, and was visiting faculty at renowned universities across the world, including Stanford University, USA; University of California, Riverside, USA; University of California, Santa Barbara, USA; University of Wisconsin, Madison, USA; Michigan State University, East Lansing, USA; Concordia University, Montreal, Canada; Hebrew University of Jerusalem, Israel; Institute of Statistical Mathematics, Tokyo, Japan; Hacettepe University, Ankara, Turkey; and the University of Malaya, Malaysia. He is on the editorial board of the Forum for Interdisciplinary Mathematics (a Springer book series) and has been Editor-in-Chief of two international journals.                </p><p>Professor SenGupta has supervised the Ph.D. thesis of 14 scholars in India, Turkey and USA, and has authored more than 100 publications, including 12 books and edited volumes. His research interests include big data analytics, directional statistics, distribution theory, financial statistics, multivariate statistical analysis, reliability inference and statistical machine learning. He visited Mainland China as a Citizen Ambassador from the American Statistical Association and is the recipient of several international and national recognitions, including two lifetime achievements and one distinguished statistician awards. He is a member of several Expert, Project Advisory and Monitoring committees of the Department of Science and Technology, Government of India. He served as Vice-President of the Forum for Interdisciplinary Mathematics, USA; President (India chapter, 3 successive terms) of the International Indian Statistical Association, and President of the Mathematical Sciences section of the Indian Science Congress, and is recognized by International Statistical Institute, the Netherlands (Elected Member); Indian Society of Probability and Statistics, India (Fellow); National Academy of Sciences, India (Fellow); and American Statistical Association, USA (Fellow).</p><p> </p><p><b>Barry C. Arnold</b> is Distinguished Professor Emeritus at the Department of Statistics, University of California, Riverside, USA. He received his Ph.D. in Statistics from Stanford University, USA, in 1965. He has authored 14 books and more than 275 research papers in reputed peer-reviewed journals and contributed volumes. Professor Arnold has guided 17 Ph.D. scholars and has been on editorial boards of renowned journals. His research interests include estimation theory, probability, stochastic processes, mathematical learning models, biological models, characterizations, income distributions, order statistics, inequality measurement, record values, conditionally specified distributions, and Bayesian inference. He has been invited for scholarly lectures from across the world and is recognized by American Statistical Association, USA (Fellow); American Association for the Advancement of Science, USA (Fellow); Institute of Mathematical Statistics, USA (Fellow); Royal Statistical Society, UK (Fellow); International Statistical Institute, the Netherlands (Elected Member); and Forum for Interdisciplinary Mathematics, USA (Vice-President).</p><p></p><p></p><p></p> </div> </section> <section data-title="Bibliographic Information"> <h2 class="c-book-heading--underline js-section-title js-c-reading-companion-sections-item" id="bibliographic-information">Bibliographic Information</h2> <div class="c-bibliographic-information c-book-section u-serif"> <div class="c-bibliographic-information__column"> <ul class="c-bibliographic-information__list"> <li class="c-bibliographic-information__list-item"><p><span class="u-text-bold">Book Title</span><span class="u-hide">: </span><span class="c-bibliographic-information__value">Directional Statistics for Innovative Applications</span></p></li> <li class="c-bibliographic-information__list-item"><p><span class="u-text-bold">Book Subtitle</span><span class="u-hide">: </span><span class="c-bibliographic-information__value">A Bicentennial Tribute to Florence Nightingale</span></p></li> <li class="c-bibliographic-information__list-item"><p><span class="u-text-bold">Editors</span><span class="u-hide">: </span><span class="c-bibliographic-information__value" data-component="book-contributor-list" data-list-type="editors">Ashis SenGupta, Barry C. Arnold</span></p></li> <li class="c-bibliographic-information__list-item"><p><span class="u-text-bold">Series Title</span><span class="u-hide">: </span> <span class="c-bibliographic-information__value"> <a href="https://www.springer.com/series/13386">Forum for Interdisciplinary Mathematics</a> </span></p></li> <li class="c-bibliographic-information__list-item"><p><span class="u-text-bold">DOI</span><span class="u-hide">: </span><span class="c-bibliographic-information__value">https://doi.org/10.1007/978-981-19-1044-9</span></p></li> <li class="c-bibliographic-information__list-item"><p><span class="u-text-bold">Publisher</span><span class="u-hide">: </span><span class="c-bibliographic-information__value">Springer Singapore</span></p></li> <li class="c-bibliographic-information__list-item"><p><span class="u-text-bold">eBook Packages</span><span class="u-hide">: </span> <span class="c-bibliographic-information__value"> <a href="/search?facet-content-type=%22Book%22&package=11649&facet-start-year=2022&facet-end-year=2022">Mathematics and Statistics</a><span>, </span><a href="/search?facet-content-type=%22Book%22&package=43713&facet-start-year=2022&facet-end-year=2022">Mathematics and Statistics (R0)</a> </span></p></li> <li class="c-bibliographic-information__list-item"><p><span class="u-text-bold">Copyright Information</span><span class="u-hide">: </span><span class="c-bibliographic-information__value">The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2022</span></p></li> <li class="c-bibliographic-information__list-item"><p><span class="u-text-bold">Hardcover ISBN</span><span class="u-hide">: </span><span class="c-bibliographic-information__value">978-981-19-1043-2</span><span data-test="hardcover_isbn_publication_date">Published: 16 June 2022</span></p></li> <li class="c-bibliographic-information__list-item"><p><span class="u-text-bold">Softcover ISBN</span><span class="u-hide">: </span><span class="c-bibliographic-information__value">978-981-19-1046-3</span><span data-test="softcover_isbn_publication_date">Published: 17 June 2023</span></p></li> <li class="c-bibliographic-information__list-item"><p><span class="u-text-bold">eBook ISBN</span><span class="u-hide">: </span><span class="c-bibliographic-information__value">978-981-19-1044-9</span><span data-test="electronic_isbn_publication_date">Published: 15 June 2022</span></p></li> <li class="c-bibliographic-information__list-item"><p><span class="u-text-bold">Series ISSN</span><span class="u-hide">: </span> <span class="c-bibliographic-information__value"> 2364-6748 </span></p></li> <li class="c-bibliographic-information__list-item"><p><span class="u-text-bold">Series E-ISSN</span><span class="u-hide">: </span> <span class="c-bibliographic-information__value"> 2364-6756 </span></p></li> <li class="c-bibliographic-information__list-item"><p><span class="u-text-bold">Edition Number</span><span class="u-hide">: </span><span class="c-bibliographic-information__value">1</span></p></li> <li class="c-bibliographic-information__list-item"><p><span class="u-text-bold">Number of Pages</span><span class="u-hide">: </span><span class="c-bibliographic-information__value">XIX, 488</span></p></li> <li class="c-bibliographic-information__list-item"><p><span class="u-text-bold">Number of Illustrations</span><span class="u-hide">: </span><span class="c-bibliographic-information__value">49 b/w illustrations, 93 illustrations in colour</span></p></li> <li class="c-bibliographic-information__list-item"><p><span class="u-text-bold">Topics</span><span class="u-hide">: </span> <span class="c-bibliographic-information__value"> <a href="https://link.springer.com/search?facet-sub-discipline=Statistics, general&facet-content-type=Book">Statistics, general</a> </span></p></li> </ul> </div> </div> </section> <section data-title="Publish with us"> <h2 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