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Pseudo-binomial approximation to (k1,k2)-runs

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  • Upadhye, N.S.
  • Kumar, A.N.

Abstract

The distribution of (k1,k2)-runs is well-known (Dafnis et al., 2010), under independent and identically distributed (i.i.d.) setup of Bernoulli trials but is intractable under non i.i.d. setup. Hence, it is of interest to find a suitable approximate distribution for (k1,k2)-runs, under non i.i.d. setup, with reasonable accuracy. In this paper, pseudo-binomial approximation to (k1,k2)-runs is considered using total variation distance. The approximation results derived are of optimal order and improve the existing results.

Suggested Citation

  • Upadhye, N.S. & Kumar, A.N., 2018. "Pseudo-binomial approximation to (k1,k2)-runs," Statistics & Probability Letters, Elsevier, vol. 141(C), pages 19-30.
    • Handle: RePEc:eee:stapro:v:141:y:2018:i:c:p:19-30
    DOI: 10.1016/j.spl.2018.05.016
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    References listed on IDEAS

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    Cited by:

    1. Kumar, Amit N. & Kumar, Poleen, 2024. "A negative binomial approximation to the distribution of the sum of maxima of indicator random variables," Statistics & Probability Letters, Elsevier, vol. 208(C).

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