On perturbations of Stein operator
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Publication:4588914
DOI10.1080/03610926.2016.1206937zbMath1377.62062arXiv1603.07464OpenAlexW3100976798MaRDI QIDQ4588914
Publication date: 3 November 2017
Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1603.07464
perturbationnegative binomial distributionStein operatorprobability-generating function\((k_1,k_2)\) distribution
Asymptotic distribution theory in statistics (62E20) Central limit and other weak theorems (60F05) Probability distributions: general theory (60E05) Approximations to statistical distributions (nonasymptotic) (62E17)
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On discrete Gibbs measure approximation to runs ⋮ Approximation Results for Sums of Independent Random Variables ⋮ Distributions of \((k_1,k_2,\dots ,k_m)\)-runs with multi-state trials ⋮ Pseudo-binomial approximation to \((k_1, k_2)\)-runs ⋮ An algebra of Stein operators ⋮ A non-uniform bound on negative binomial approximation via Stein's method and \(z\)-functions
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