JSM 2011 Online Program

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Abstract Details

Activity Number: 173
Type: Contributed
Date/Time: Monday, August 1, 2011 : 10:30 AM to 12:20 PM
Sponsor: Section on Statistical Computing
Abstract - #303418
Title: High-Dimensional Generation of Bernoulli Random Vectors
Author(s): Reza Modarres*+
Companies: The George Washington University
Address: Department of Statistics, Washington DC, DC, 20052,
Keywords: Multivariate ; Bernoulli ; Mixture Model ; Latent Variable ; Random Vectors
Abstract:

We explore different modeling strategies to generate high dimensional Bernoulli vectors, discuss the multivariate Bernoulli (MB) distribution, probe its properties and examine three models for generating random vectors. A latent multivariate normal model whose bivariate distributions are approximated with Plackett distributions with univariate normal distributions is presented. A conditional mean model is examined where the conditional probability of success depends on previous history of successes. A mixture of Beta distributions is also presented that expresses the probability of the MB vector as a product of correlated binary random variables.


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