An approximation theorem for sums of certain randomly selected indicators

DOI10.1007/BF00539864zbMath0322.60020MaRDI QIDQ4085005

Louis H. Y. Chen

Publication date: 1975

Published in: Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete (Search for Journal in Brave)

Mathematics Subject Classification ID

Probability distributions: general theory (60E05)

Related Items (5)

Some results associated with the longest run in a strongly ergodic Markov chain ⋮ Two central limit problems for dependent random variables ⋮ On the rates in the central limit theorem for weakly dependent random fields ⋮ On the error bound in a combinatorial central limit theorem ⋮ Rates of convergence for extremes of geometric random variables and marked point processes

Cites Work

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• Poisson approximation for dependent trials
• On the convergence of Poisson binomial to Poisson distributions
• An approximation theorem for the Poisson binomial distribution
• The Poisson Approximation to the Poisson Binomial Distribution
• Upper bounds for the distance in total variation between the binomial or negative binomial and the Poisson distribution
• A Converse to a Combinatorial Limit Theorem
• Verallgemeinerung eines Satzes von Prochorow und Le Cam
• On a Theorem by Wald and Wolfowitz
• A Combinatorial Central Limit Theorem
• Statistical Tests Based on Permutations of the Observations

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