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A note on Poisson approximation of rescaled set-indexed empirical processes

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  • Borisov, I. S.

Abstract

The total variation distance is estimated between distributions of the so-called rescaled empirical process and a Poisson point process which are indexed by the all Borel subsets of a bounded Borel set in

Suggested Citation

  • Borisov, I. S., 2000. "A note on Poisson approximation of rescaled set-indexed empirical processes," Statistics & Probability Letters, Elsevier, vol. 46(1), pages 101-103, January.
    • Handle: RePEc:eee:stapro:v:46:y:2000:i:1:p:101-103
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    References listed on IDEAS

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    1. Ivanoff, B. Gail & Merzbach, Ely, 1997. "Poisson convergence for set-indexed empirical processes," Statistics & Probability Letters, Elsevier, vol. 32(1), pages 81-86, February.
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    Cited by:

    1. Ruzankin, Pavel S. & Borisov, Igor S., 2020. "On the rate of Poisson approximation to Bernoulli partial sum processes," Statistics & Probability Letters, Elsevier, vol. 162(C).

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