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Some limit properties of the multivariate function sequences of discrete random variables

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  • Liu, Wen

Abstract

Some limit properties of multivariate function sequences of discrete random variables are studied using differentiation of measures on a net and conditional moment generating functions, and some strong limit theorems related to the conditional expectations are obtained.

Suggested Citation

  • Liu, Wen, 2003. "Some limit properties of the multivariate function sequences of discrete random variables," Statistics & Probability Letters, Elsevier, vol. 61(1), pages 41-50, January.
    • Handle: RePEc:eee:stapro:v:61:y:2003:i:1:p:41-50
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    References listed on IDEAS

    as
    1. Liu, W. & Wang, Z. Z., 1995. "An Extension of a Theorem on Gambling Systems," Journal of Multivariate Analysis, Elsevier, vol. 55(1), pages 125-132, October.
    2. Liu, Wen, 2000. "A limit property of random conditional probabilities," Statistics & Probability Letters, Elsevier, vol. 49(3), pages 299-304, September.
    3. Wen, Liu & Weiguo, Yang, 1996. "An extension of Shannon-McMillan theorem and some limit properties for nonhomogeneous Markov chains," Stochastic Processes and their Applications, Elsevier, vol. 61(1), pages 129-145, January.
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