A NOVEL MM ALGORITHM AND THE MODE-SHARING METHOD IN BAYESIAN COMPUTATION FOR THE ANALYSIS OF GENERAL

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  Incomplete categorical data often occur in the fields such as biomedicine,epidemiology,psychology and sports.In this paper,we first develop a novel minorization–maximization(MM)algo-rithm for calculating the MLE of parameters for general incomplete categorical data.How to develop the corresponding stochastic counterparts to existing MM algorithms is an important research topic.Up to now,we have not seen any papers that proposed a stochastic version of theMMalgorithm.This is the first paper to propose a mode-sharing method in Bayesian computation for general incomplete categorical data by developing a new acceptance–rejection(AR)algorithm aided with the proposed MM algorithm.
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