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Entropy inequalities for some multivariate distributions

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  • Peddada, Shyamal Das
  • Richards, Donald St. P.
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    Abstract

    In this paper, we derive some monotonicity properties of generalized entropy functionals of various multivariate distributions. These include the distributions of random eigenvalues arising in many hypothesis testing problems in multivariate analysis; the multivariate Liouville distributions; and the noncentral Wishart distributions.

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    Bibliographic Info

    Article provided by Elsevier in its journal Journal of Multivariate Analysis.

    Volume (Year): 39 (1991)
    Issue (Month): 1 (October)
    Pages: 202-208

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    Handle: RePEc:eee:jmvana:v:39:y:1991:i:1:p:202-208

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    Related research

    Keywords: entropy functionals Liouville distributions multivariate beta distributions Schur-concavity Schur-convexity Selberg's integrals noncentral Wishart distributions;

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    Cited by:
    1. Zografos, K. & Nadarajah, S., 2005. "Expressions for Rényi and Shannon entropies for multivariate distributions," Statistics & Probability Letters, Elsevier, vol. 71(1), pages 71-84, January.
    2. Bhattacharya, Bhaskar, 2006. "Maximum entropy characterizations of the multivariate Liouville distributions," Journal of Multivariate Analysis, Elsevier, vol. 97(6), pages 1272-1283, July.

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