MM algorithms for generalized Bradley-Terry models

Keywords

Algorithm, Mathematics, Simple (philosophy), Convergence (economics), Expectation–maximization algorithm

References

• The Analysis of PermutationsR. L. Plackett — 1975
• A gradient algorithm locally equivalent to the EM algorithmKenneth Lange — 1995
• Asymptotics when the number of parameters tends to infinity in the Bradley-Terry model for paired comparisonsGordon Simons, Yi‐Ching Yao — 1999
• A Bibliography on the Method of Paired ComparisonsRoger R. Davidson, Pater H. Farquhar — 1973
• RANKING IN TRIPLE COMPARISONSRobert Nixon Pendergrass, Ralph A. Bradley — 1959
• Maximum likelihood estimation via the ECM algorithm: A general frameworkXiao‐Li Meng, Donald B. Rubin — 1993
• Ties in Paired-Comparison Experiments: A Generalization of the Bradley-Terry ModelP. V. Rao, Lawrence L. Kupper — 1967
• Analyzing and Modeling Rank DataDavid J. Groggel, John I. Marden — 1996
• Using EM to Obtain Asymptotic Variance-Covariance Matrices: The SEM AlgorithmXiao‐Li Meng, Donald B. Rubin — 1991
• Categorical Data AnalysisDavid E. Hapeman — 1991
• RANK ANALYSIS OF INCOMPLETE BLOCK DESIGNS THE METHOD OF PAIRED COMPARISONSRalph A. Bradley, Milton E. Terry — 1952
• Classification by Pairwise CouplingTrevor Hastie, Robert Tibshirani — 1997
• On Extending the Bradley-Terry Model to Accommodate Ties in Paired Comparison ExperimentsRoger R. Davidson — 1970
• Citation Patterns in the Journals of Statistics and ProbabilityStephen M. Stigler — 1994
• On the method of paired comparisons.P. A. P. Moran — 1947
• Recent advances in descriptive multivariate analysisDennis Wolf — 1996
• Die Berechnung der Turnier-Ergebnisse als ein Maximumproblem der WahrscheinlichkeitsrechnungErnst Zermelo — 1929
• An extended transmission/disequilibrium test (TDT) for multi‐allele marker lociPak C. Sham, David Curtis — 1995
• A Note on the Rank Analysis of Incomplete Block Designs -- Applications beyond the Scope of Existing TablesOtto Dykstra — 1956
• Individual Choice BehaviorJ. Pfanzagl, R. Duncan Luce — 1959

Cited by

• A Model to Estimate Individual Preferences using Panel DataSrikanth Jagabathula, Gustavo Vulcano — 2016
• How good is Tiger WoodsRD Baker, IG McHale — 2012
• Majorization-Minimization for Manifold EmbeddingZhirong Yang, Jaakko Peltonen, Samuel Kaski — 2015
• Statistical inference in networks: fundamental limits and efficient algorithmsJiaming Xu — 2014
• Improving Machine Learning Through Oracle LearningJoshua Menke — 2007
• Extending parametric models for ranked dataCristina Mollica — 2016
• Conjoint Analysis: A Tool for Preference AnalysisBilyana Taneva, Joachim Giesen, Gerhard Weikum — 2008
• COMPUTING “ELO RATINGS” OF MOVE PATTERNS IN THE GAME OF GORémi Coulom — 2007
• Achieving broad access to satellite control research with zero roboticsJacob Katz — 2013
• Multiresolution Analysis of Incomplete RankingsStéphan Clémençon, Jérémie Jakubowicz, Eric Sibony — 2014
• Inverse Optimization with Noisy DataAnil Aswani, Zuo‐Jun Max Shen, Auyon Siddiq — 2015
• Rank Centrality: Ranking from Pairwise ComparisonsSahand Negahban, Sewoong Oh, Devavrat Shah — 2012
• Learning to rank from implicit feedbackFilip Radlinski — 2008
• Label Ranking Methods based on the Plackett-Luce ModelWeiwei Cheng, Eyke H llermeier, Krzysztof Dembczyński — 2010
• Modeling Go Game as a Large Decomposable Decision ProcessŁukasz Lew — 2012
• Deterministic Evolution of Strength in Multiple Comparisons Models: Who is the Greatest Golfer?Rose Baker, Ian G. McHale — 2015
• Ranking in the generalized Bradley–Terry models when the strong connection condition failsTing Yan — 2014
• Probabilistic Zero-shot Classification with Semantic RankingsJihun Hamm, Mikhail Belkin — 2015
• An Overview of Mixture ModelsDerek S. Young — 2008
• GROUPED SPARSE PAIRED COMPARISONS IN THE BRADLEY-TERRY MODELTing Yan, Jinfeng Xu, Yaning Yang — 2011

Related papers

• Noise and Edge Artifacts in Maximum-Likelihood Reconstructions for Emission TomographyDonald L. Snyder, Michael I. Miller, Lewis J. Thomas — 1987
• Expectation-maximization estimators for incompletely observed dataVladimir Vasić — 2004
• Estimating parameters of factor analysis model maximum likelihood method)) by using EM algorithm with applicationThanoon alshakerchy — 2009
• A fast algorithm for maximum-likelihood imaging with coherent speckle measurementsTimothy J. Schulz — 1997
• Mixture densities, maximum likelihood, and the EM algorithmRichard A. Redner, Homer F. Walker — 1982
• Estimation of multiple parameters using algorithms expectation maximizationRaydonal Ospina, G Correa, P P Cárdenas — 2019
• Generalized MLSDE via the EM algorithmH. Zamiri‐Jafarian, S. Pasupathy — 1999
• Maximum likelihood estimation via the alternating projection maximization algorithmI. Ziskind, M. Wax — 1987