Exact and near compatibility of discrete conditional distributions

  • Authors:
  • Barry C. Arnold;Enrique Castillo;José María Sarabia

  • Affiliations:
  • Department of Statistics, University of California, Riverside;Department of Applied Mathematics and Computing Sciences, University of Cantabria, Avda. de Los Castros S/N, 39005 Santander, Spain and University of Castilla-La Mancha, Ciudad Read, Spain;Department of Economics, University of Cantabria, Santander, Spain

  • Venue:
  • Computational Statistics & Data Analysis
  • Year:
  • 2002

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Abstract

The problem of determining whether two families of conditional distributions are compatible in the finite discrete case may be viewed as a problem involving the solution of linear equations in restricted domains. A general solution is provided. Attention is also directed to the related concepts of near-compatibility and ε-compatibility of conditional distributions.