Explicit constants in the nonuniform local limit theorem for Poisson binomial random variables

Abstract In a recent paper the authors proved a nonuniform local limit theorem concerning normal approximation of the point probabilities P ( S = k ) $P(S=k)$ when S = ∑ i = 1 n X i $S=\sum_{i=1}^{n}X_{i}$ and X 1 , X 2 , … , X n $X_{1},X_{2},\ldots ,X_{n}$ are independent Bernoulli random variables...

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書誌詳細

出版年:	Journal of Inequalities and Applications
主要な著者:	Graeme Auld, Kritsana Neammanee
フォーマット:	論文
言語:	英語
出版事項:	SpringerOpen 2024-05-01
主題:	Poisson binomial random variable Local limit theorem Stein’s method Nonuniform bounds Concentration inequalities
オンライン･アクセス:	https://doi.org/10.1186/s13660-024-03143-z