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Characterizations of Probability Distributions Through Linear Forms of Q-Conditional Independent Random Variables

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  • B. L. S. Prakasa Rao

    (CR Rao Advanced Institute of Mathematics, Statistics and Computer Science)

Abstract

We derive some characterizations of probability distributions based on the joint distributions of linear forms of Q-conditional independent random variables.

Suggested Citation

  • B. L. S. Prakasa Rao, 2016. "Characterizations of Probability Distributions Through Linear Forms of Q-Conditional Independent Random Variables," Sankhya A: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 78(2), pages 221-230, August.
    • Handle: RePEc:spr:sankha:v:78:y:2016:i:2:d:10.1007_s13171-016-0086-y
    DOI: 10.1007/s13171-016-0086-y
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    References listed on IDEAS

    as
    1. Kagan, Abram M. & Székely, Gábor J., 2016. "An analytic generalization of independence and identical distributiveness," Statistics & Probability Letters, Elsevier, vol. 110(C), pages 244-248.
    2. B. Prakasa Rao, 2009. "Conditional independence, conditional mixing and conditional association," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 61(2), pages 441-460, June.
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    Cited by:

    1. Myronyuk, Margaryta, 2019. "Characterization of distributions of Q-independent random variables on locally compact Abelian groups," Statistics & Probability Letters, Elsevier, vol. 152(C), pages 82-88.

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