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Biometrika 1995 82(3):639-643;
© 1995 by Biometrika Trust
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MISCELLANEA

A note on the existence of the posterior distribution for a class of mixed models for binomial responses

RANJINI NATARAJAN1 and CHARLES E. McCULLOCH2

1 School of Operations Research and Industrial Engineering, 206 Engineering and Theory Center, Cornell University, Ithaca New York 14853, U. S.A
2 Biometrics Unit and Statistics Center, 337 Warren Hall, Cornell University Ithaca, New York 14853, U.S.A.

Received for publication 1 October 1994. Revision received 1 February 1995.
  Abstract

Necessary and sufficient conditions are given for the existence of the posterior distribution of the variance components in a class of mixed models for binomial responses. The implications of our results are illustrated through an example.

Key Words: Gibbs sampler • Improper prior • Linear programming • Logit • Mixed model • Probit • Propriety • Variance components


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