A Simple Method for Generating Correlated Binary Variates

Chul Gyu Park, Taesung Park, Dong Wan Shin

Research output: Contribution to journalArticlepeer-review

105 Scopus citations

Abstract

Correlated binary data are frequently analyzed in studies of repeated measurements, reliability analysis, and others. In such studies correlations among binary variables are usually nonnegative. This article provides a simple algorithm for generating an arbitrary dimensional random vector of non-negatively correlated binary variables. In some frequently encountered situations the algorithm reduces to explicit expressions. The correlated binary variables are generated from correlated Poisson variables. The key idea lies in the property that any Poisson random variable can be expressed as a convolution of other independent Poisson random variables. The binary variables have desired correlations by sharing common independent Poisson variables.

Original languageEnglish
Pages (from-to)306-310
Number of pages5
JournalAmerican Statistician
Volume50
Issue number4
DOIs
StatePublished - Nov 1996

Keywords

  • Generalized estimating equations
  • Poisson variables
  • Random number generation

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