Binomial approximation for sum of indicators with dependent neighborhoods

DOI10.1016/j.spl.2016.07.021zbMath1398.62041OpenAlexW2492438991MaRDI QIDQ334021

Ya Zhe Zhang

Publication date: 31 October 2016

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2016.07.021

zbMATH Keywords

Stein's methodbinomial approximationdependency neighborhoodslongest head run

Mathematics Subject Classification ID

Combinatorial probability (60C05) Approximations to statistical distributions (nonasymptotic) (62E17)

Related Items (1)

An alternative test for zero modification in the INAR(1) model with Poisson innovations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some results associated with the longest run in a strongly ergodic Markov chain
• Generalized gamma approximation with rates for urns, walks and trees
• Binomial approximation to the Poisson binomial distribution
• Symmetric and centered binomial approximation of sums of locally dependent random variables
• Two moments suffice for Poisson approximations: The Chen-Stein method
• Longest runs in a sequence of \(m\)-dependent random variables
• Poisson approximation for dependent trials
• On the length of the longest run in a multi-state Markov chain.
• Poisson approximation and the Chen-Stein method. With comments and a rejoinder by the authors
• Total variation error bounds for geometric approximation
• New rates for exponential approximation and the theorems of Rényi and Yaglom
• On the Length of the Longest Head-Run for a Markov Chain with Two States

This page was built for publication: Binomial approximation for sum of indicators with dependent neighborhoods