Binomial approximation for sum of indicators with dependent neighborhoods

Yazhe Zhang

Statistics & Probability Letters, 2016, vol. 119, issue C, 146-154

Abstract: The purpose of this article is to develop a new method for binomial approximation. Following the main idea of Stein’s basic framework, we managed to provide a new method for binomial approximation which allows us to get an upper bound on the total variation distance between a sum of indicator random variables with dependency neighborhoods and a properly chosen binomial distribution. A simple application of this method is also given, which enables us to obtain a total variation distance between the distribution of the number of k-length head run and a properly chosen binomial distribution.

Keywords: Stein’s method; Binomial approximation; Dependency neighborhoods; Longest head run (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1016/j.spl.2016.07.021

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