<html><head></head><body><div style="font-family:Helvetica Neue, Helvetica, Arial, sans-serif;font-size:16px;"><div style="font-family:Helvetica Neue, Helvetica, Arial, sans-serif;font-size:16px;"><div><span><div dir="ltr" style="color: rgb(34, 34, 34); font-family: arial, sans-serif; font-size: small;"><div dir="ltr">Boa tarde,<div><br></div><div><span style="font-size: 12.8px;">Prezados,</span><br style="font-size: 12.8px;"><br style="font-size: 12.8px;"><span style="font-size: 12.8px;">No dia 08 de junho teremos mais uma edição dos </span><span class="ydp5e1804d0m_1034073569219777788gmail-m_-5401322024630025637gmail-m_5008545183318076700gmail-il" style="font-size: 12.8px;">Papos</span><span style="font-size: 12.8px;"> </span><span class="ydp5e1804d0m_1034073569219777788gmail-m_-5401322024630025637gmail-m_5008545183318076700gmail-il" style="font-size: 12.8px;">Aleatórios</span><span style="font-size: 12.8px;"> com a presença dos docentes Wilson Calmon e Mariana Albi. <span style="font-size: small;">O resumo e as informações pertinentes a esse papo encontram-se no cartaz em anexo.</span> Convidamos todos os interessados para essa palestra.</span></div><div><br></div><div>Data: 08/junho/2018 (sexta-feira)</div><div>Horário: 14:30</div><div>Local: UFF - Campus do Gragoatá - Bloco G - sala 201</div><div><br></div><div>Palestrante: Wilson Calmon e Mariana Albi (ambos do <span style="font-size: 12.8px;">Dep. Estatística - IME-UFF</span> )</div><div>Título: <span style="font-size: 12.8px;">ESTIMATING THE NUMBER OF CLUSTERS </span><span style="font-size: 12.8px;">IN A RANKING DATA CONTEXT</span></div><div><br></div><div>Resumo: </div><div><div>Ranking Data abound. Top Ten/Hundred lists abound are plentiful: best [worst] academic journals, movies, cars, football</div><div>teams, and so on. Not least, Marden [1] points that transform the continuous data into ranks is an usual strategy adopted</div><div>in nonparametric analysis. Ranking Data are essentially multivariate and therefore classical methods of multivariate data</div><div>analysis can be employed to analyse it. In particular, clustering techniques can be applied to identify groups [mainly,</div><div>not revealed ties] in Ranking Data. Typically, the number of clusters is an input for many clustering procedures and the</div><div>importance of the choice of the number of clusters is frequently neglected. However in the last 20 years interesting methods</div><div>have been proposed to estimate the number of clusters. For illustration, we could cite the Gap Statistic's Method proposed</div><div>in Tibshirani et al [2], the Fang and Wang [3] proposal based on clustering stability, the non-parametric approach of Fujita et</div><div>al [4] or the entropy-based method of Liang et al [5]. However, neither of them was developed for Ranking Data. Our aim is</div><div>to develop specic methods for estimation of the number of clusters in the Ranking Data context based on the Plackett-Luce</div><div>Model - [6] and [7]. Particularly, we are investigating a Hierarchical Bayesian approach of Luce Model where the number of</div><div>cluster is one hyperparameter.</div><div><br></div><div>Referências:</div><div>[1] Marden, John I. (1995): \Analyzing and Modeling Rank Data" ; Chapman Hall/CRC Monographs on Statistics</div><div>Applied Probability, London, 1st Edition.</div><div>[2] Tibshirani, Robert ; Walther, Guenther; Hastie, Trevor (2001): \Estimating the Number of Clusters in a Data Set Via</div><div>the Gap Statistic"; Journal of the Royal Statistical Society Series B (Statistical Methodology) 63(2):411-423.</div><div>[3] Yixin Fang and Junhui Wang (2012): \Selection of the number of clusters via the bootstrap method"; Computational</div><div>Statistics and Data Analysis, 56, 468-477.</div><div>[4] Fujita, Andr e; Takahashi, Daniel Y.; Patriota, Alexandre G. (2014): \A non-parametric method to estimate the</div><div>number of clusters"; Computational Statistics and Data Analysis, 73, 27-39.</div><div>[5] Liang, Jiye; Zhao, Xingwang; Li, Deyu; Cao, Fuyuan; Dang, Chuangyin (2012): \Determining the number of clusters</div><div>using information entropy for mixed data"; Pattern Recognition, 45, 2251-2265.</div><div>[6] Luce, R. D. (1959). Individual choice behavior. New York: Wiley.</div><div>[7] Plackett, Robert L. (1975): \The Analysis of Permutations."Appl. Statist 24 (2):193-202.</div></div><span class="ydp5e1804d0m_1034073569219777788gmail-"><div><br></div><div>Maiores detalhes dos Papos Aleatórios podem ser vistos em <a href="https://sites.google.com/view/paposaleatorios" data-saferedirecturl="https://www.google.com/url?hl=pt-BR&q=https://sites.google.com/view/paposaleatorios&source=gmail&ust=1527182412364000&usg=AFQjCNFopKL_HDVcQLIg24zVfBSpnSm9wA" style="color: rgb(17, 85, 204);" rel="nofollow" target="_blank">https://sites.google.com/view/paposaleatorios.<br></a></div><div><br></div><div><div class="ydp5e1804d0m_1034073569219777788gmail-m_-5401322024630025637gmail-m_5008545183318076700gmail_signature"><div dir="ltr"><div dir="ltr"><div style="font-size: 12.8px;">Att,</div><div style="font-size: 12.8px;"> </div><div style="font-size: 12.8px;">Patrícia Lusié</div><div style="font-size: 12.8px;">Professora Adjunta</div><div style="font-size: 12.8px;">Departamento de Estatística</div><div style="font-size: 12.8px;">Instituto de Matemática e Estatística - UFF</div><div><br></div></div></div></div></div></span></div></div><div class="ydp5e1804d0yj6qo" style="color: rgb(34, 34, 34); font-family: arial, sans-serif; font-size: 12.8px;"></div></span><br></div></div></div><div id="DAB4FAD8-2DD7-40BB-A1B8-4E2AA1F9FDF2"><br> <table style="border-top: 1px solid #D3D4DE;"> <tr> <td style="width: 55px; padding-top: 18px;"><a href="http://www.avg.com/email-signature?utm_medium=email&utm_source=link&utm_campaign=sig-email&utm_content=webmail" target="_blank"><img src="https://ipmcdn.avast.com/images/icons/icon-envelope-tick-green-avg-v1.png" alt="" width="46" height="29" style="width: 46px; height: 29px;"></a></td> <td style="width: 470px; padding-top: 17px; color: #41424e; font-size: 13px; font-family: Arial, Helvetica, sans-serif; line-height: 18px;">Livre de vírus. <a href="http://www.avg.com/email-signature?utm_medium=email&utm_source=link&utm_campaign=sig-email&utm_content=webmail" target="_blank" style="color: #4453ea;">www.avg.com</a>. </td> </tr> </table> <a href="#DAB4FAD8-2DD7-40BB-A1B8-4E2AA1F9FDF2" width="1" height="1"></a></div></body></html>