Other Statistics

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rel="nofollow"> fewer</a> | <span style="color: #454545">more</span> | <span style="color: #454545">all</span> </div> <dl id='articles'> <h3>New submissions (showing 1 of 1 entries)</h3> <dt> <a name='item1'>[1]</a> <a href ="/abs/2503.20852" title="Abstract" id="2503.20852"> arXiv:2503.20852 </a> [<a href="/pdf/2503.20852" title="Download PDF" id="pdf-2503.20852" aria-labelledby="pdf-2503.20852">pdf</a>, <a href="https://arxiv.org/html/2503.20852v1" title="View HTML" id="html-2503.20852" aria-labelledby="html-2503.20852" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.20852" title="Other formats" id="oth-2503.20852" aria-labelledby="oth-2503.20852">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Teachable normal approximations to binomial and related probabilities or confidence bounds </div> <div class='list-authors'><a href="https://arxiv.org/search/stat?searchtype=author&query=Mattner,+L">Lutz Mattner</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 8 pages </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Other Statistics (stat.OT)</span>; Probability (math.PR); Statistics Theory (math.ST) </div> <p class='mathjax'> This document is an extended version of an abstract for a talk, with approximately the same title, to be held at the 7th Joint Statistical Meeting of the Deutsche Arbeitsgemeinschaft Statistik, from 24 to 28 March 2025 in Berlin. <br>Here ``teachable'' is meant to apply to people ranging from sufficiently advanced high school pupils to university students in mathematics or statistics: For understanding most of the proposed approximation results, it should suffice to know binomial laws, their means and variances, and the standard normal distribution function (but not necessarily the concept of a corresponding normal random variable). <br>Of the proposed approximations, some are well-known (at least to experts), and some are based on teaching experience and research at Trier University. </p> </div> </dd> </dl> <dl id='articles'> <h3>Cross submissions (showing 1 of 1 entries)</h3> <dt> <a name='item2'>[2]</a> <a href ="/abs/2503.21719" title="Abstract" id="2503.21719"> arXiv:2503.21719 </a> (cross-list from stat.ME) [<a href="/pdf/2503.21719" title="Download PDF" id="pdf-2503.21719" aria-labelledby="pdf-2503.21719">pdf</a>, <a href="https://arxiv.org/html/2503.21719v1" title="View HTML" id="html-2503.21719" aria-labelledby="html-2503.21719" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.21719" title="Other formats" id="oth-2503.21719" aria-labelledby="oth-2503.21719">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> The Principle of Redundant Reflection </div> <div class='list-authors'><a href="https://arxiv.org/search/stat?searchtype=author&query=Metodiev,+M">Martin Metodiev</a>, <a href="https://arxiv.org/search/stat?searchtype=author&query=Marsman,+M">Maarten Marsman</a>, <a href="https://arxiv.org/search/stat?searchtype=author&query=Waldorp,+L">Lourens Waldorp</a>, <a href="https://arxiv.org/search/stat?searchtype=author&query=Gronau,+Q+F">Quentin F. Gronau</a>, <a href="https://arxiv.org/search/stat?searchtype=author&query=Wagenmakers,+E">Eric-Jan Wagenmakers</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 8 pages, 0 figures </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Methodology (stat.ME)</span>; Other Statistics (stat.OT) </div> <p class='mathjax'> The fact that redundant information does not change a rational belief after Bayesian updating implies uniqueness of Bayes rule. In fact, any updating rule is uniquely specified by this principle. This is true for the classical setting, as well as settings with improper or continuous priors. We prove this result and illustrate it with two examples. </p> </div> </dd> </dl> <div class='paging'>Total of 2 entries </div> <div class='morefewer'>Showing up to 2000 entries per page: <a href=/list/stat.OT/new?skip=0&show=1000 rel="nofollow"> fewer</a> | <span style="color: #454545">more</span> | <span style="color: #454545">all</span> </div> </div> </div> </div> </main> <footer style="clear: both;"> <div class="columns is-desktop" role="navigation" aria-label="Secondary" style="margin: -0.75em -0.75em 0.75em -0.75em">  <div class="column" style="padding: 0;"> <div class="columns"> <div class="column"> <ul style="list-style: none; line-height: 2;"> <li><a href="https://info.arxiv.org/about">About</a></li> <li><a href="https://info.arxiv.org/help">Help</a></li> </ul> </div> <div class="column"> <ul style="list-style: none; line-height: 2;"> <li> <svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 512" class="icon filter-black" role="presentation"><title>contact arXiv</title><desc>Click here to contact arXiv</desc><path d="M502.3 190.8c3.9-3.1 9.7-.2 9.7 4.7V400c0 26.5-21.5 48-48 48H48c-26.5 0-48-21.5-48-48V195.6c0-5 5.7-7.8 9.7-4.7 22.4 17.4 52.1 39.5 154.1 113.6 21.1 15.4 56.7 47.8 92.2 47.6 35.7.3 72-32.8 92.3-47.6 102-74.1 131.6-96.3 154-113.7zM256 320c23.2.4 56.6-29.2 73.4-41.4 132.7-96.3 142.8-104.7 173.4-128.7 5.8-4.5 9.2-11.5 9.2-18.9v-19c0-26.5-21.5-48-48-48H48C21.5 64 0 85.5 0 112v19c0 7.4 3.4 14.3 9.2 18.9 30.6 23.9 40.7 32.4 173.4 128.7 16.8 12.2 50.2 41.8 73.4 41.4z"/></svg> <a href="https://info.arxiv.org/help/contact.html"> Contact</a> </li> <li> <svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 512" class="icon filter-black" role="presentation"><title>subscribe to arXiv mailings</title><desc>Click here to subscribe</desc><path d="M476 3.2L12.5 270.6c-18.1 10.4-15.8 35.6 2.2 43.2L121 358.4l287.3-253.2c5.5-4.9 13.3 2.6 8.6 8.3L176 407v80.5c0 23.6 28.5 32.9 42.5 15.8L282 426l124.6 52.2c14.2 6 30.4-2.9 33-18.2l72-432C515 7.8 493.3-6.8 476 3.2z"/></svg> <a href="https://info.arxiv.org/help/subscribe"> Subscribe</a> </li> </ul> </div> </div> </div>   <div class="column" style="padding: 0;"> <div class="columns"> <div class="column"> <ul style="list-style: none; 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