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

N.S. Upadhye and A.N. Kumar

Statistics & Probability Letters, 2018, vol. 141, issue C, 19-30

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.

Keywords: Pseudo-binomial distribution; (k1,k2)-runs; Coupling; Stein operator; Stein’s method (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (1)

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DOI: 10.1016/j.spl.2018.05.016

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