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Inference for the maximum cell probability under multinomial sampling

Author

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  • A. E. Gelfand
  • J. Glaz
  • L. Kuo
  • T.‐M. Lee

Abstract

This article investigates inference for pmax, the largest cell probability in multinomial trials for the case of a small to moderate number of trials. Emphasis focuses on point and interval estimation. Both frequentist and Bayesian approaches are developed. The results of extensive simulation investigation are included as well as the analysis of a set of crime data for the city of New Orleans taken from the National Crime Survey.

Suggested Citation

  • A. E. Gelfand & J. Glaz & L. Kuo & T.‐M. Lee, 1992. "Inference for the maximum cell probability under multinomial sampling," Naval Research Logistics (NRL), John Wiley & Sons, vol. 39(1), pages 97-114, February.
    • Handle: RePEc:wly:navres:v:39:y:1992:i:1:p:97-114
    DOI: 10.1002/1520-6750(199202)39:13.0.CO;2-O
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    References listed on IDEAS

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    1. Karlin, Samuel & Rinott, Yosef, 1980. "Classes of orderings of measures and related correlation inequalities II. Multivariate reverse rule distributions," Journal of Multivariate Analysis, Elsevier, vol. 10(4), pages 499-516, December.
    2. Karlin, Samuel & Rinott, Yosef, 1980. "Classes of orderings of measures and related correlation inequalities. I. Multivariate totally positive distributions," Journal of Multivariate Analysis, Elsevier, vol. 10(4), pages 467-498, December.
    3. Steve Leeds & Alan E. Gelfand, 1989. "Estimation for dirichlet mixed models," Naval Research Logistics (NRL), John Wiley & Sons, vol. 36(2), pages 197-214, April.
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    Cited by:

    1. Xiong, Shifeng & Li, Guoying, 2008. "Some results on the convergence of conditional distributions," Statistics & Probability Letters, Elsevier, vol. 78(18), pages 3249-3253, December.

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