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Poisson approximation for random sums of Bernoulli random variables

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  • Yannaros, Nikos

Abstract

Bounds for the total variation distance between the distribution of the sum of a random number of Bernoulli summands and an appropriate Poisson distribution are given. The results can be used to derive limit theorems with rates of convergence for marked and thinned point processes. Some examples are given.

Suggested Citation

  • Yannaros, Nikos, 1991. "Poisson approximation for random sums of Bernoulli random variables," Statistics & Probability Letters, Elsevier, vol. 11(2), pages 161-165, February.
    • Handle: RePEc:eee:stapro:v:11:y:1991:i:2:p:161-165
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    Cited by:

    1. Vellaisamy, P. & Chaudhuri, B., 1999. "On compound Poisson approximation for sums of random variables," Statistics & Probability Letters, Elsevier, vol. 41(2), pages 179-189, January.

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