Maximum likelihood estimation in log-linear models
, 2012 We study maximum likelihood estimation in log-linear models under conditional Poisson sampling schemes. We derive necessary and sufficient conditions for existence of the maximum likelihood estimator (MLE) of the model parameters and investigate ...
Fienberg, Stephen E. +1 more
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Perturbation of matrices and non-negative rank with a view toward statistical models
, 2011 In this paper we study how perturbing a matrix changes its non-negative rank. We prove that the non-negative rank is upper-semicontinuos and we describe some special families of perturbations.
Allman E. S. +4 more
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Evaluation of missing data mechanisms in two and three dimensional incomplete tables
, 2018 The analysis of incomplete contingency tables is a practical and an interesting problem. In this paper, we provide characterizations for the various missing mechanisms of a variable in terms of response and non-response odds for two and three dimensional
Ghosh, S., Vellaisamy, P.
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Contingency tables with prescribed marginals [PDF]
, 2018 For an adjustment of contingency tables to prescribed marginal frequencies Deming and Stephan (1940) minimize a Chi-square expression. Asymptotically equivalently, Ireland and Kullback (1968) minimize a Leibler-Kullback divergence, where the ...
Aebi, Robert
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Improved approximate unbiased estimators of the measure of departure from partial symmetry for square contingency tables [PDF]
, 2021 For square contingency tables, the measure to represent the degree of departure from the partial symmetry model was proposed. It is necessary to estimate the measure because it is constructed of unknown parameters.
Kiyotaka Iki +3 more
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A conjugate prior for discrete hierarchical log-linear models
, 2009 In Bayesian analysis of multi-way contingency tables, the selection of a prior distribution for either the log-linear parameters or the cell probabilities parameters is a major challenge. In this paper, we define a flexible family of conjugate priors for
Dobra, Adrian +2 more
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Sequential importance sampling for multiway tables
, 2005 We describe an algorithm for the sequential sampling of entries in multiway contingency tables with given constraints. The algorithm can be used for computations in exact conditional inference.
Chen, Yuguo +2 more
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The importance of being the upper bound in the bivariate family. [PDF]
, 2017 Any bivariate cdf is bounded by the Fr ´echet-Hoeffding lower and upper bounds. We illustrate the importance of the upper bound in several ways. Any bivariate distribution can be written in terms of this bound, which is implicit in logit analysis and the
Cuadras, C. M. (Carlos María)
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Bayes factors and the geometry of discrete hierarchical loglinear models
, 2011 A standard tool for model selection in a Bayesian framework is the Bayes factor which compares the marginal likelihood of the data under two given different models.
Letac, Gerard, Massam, Helene
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Asymmetry model based on f-divergence and orthogonal decomposition of symmetry for square contingency tables with ordinal categories [PDF]
, 2020 Many statisticians have considered various symmetry and asym- metry models to analyze square contingency tables with ordinal categories. We propose a generalized model, which indicates the asymmetric structure for cell probabilities.
Kengo Fujisawa, Kouji Tahata
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