The first divisible sum

DOI10.1007/BF02213453zbMath0814.60084MaRDI QIDQ1345078

Rudolf Grübel, Andrew David Barbour

Publication date: 26 February 1995

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

zbMATH Keywords

rate of convergencerenewal theoryStein's methodBanach algebrascouplinggeometric distribution

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Discrete-time Markov processes on general state spaces (60J05) Renewal theory (60K05)

Related Items

A non uniform bound on geometric approximation with w-functions ⋮ Total variation error bounds for geometric approximation ⋮ Stein's Method for Compound Geometric Approximation

Cites Work

• An application of the renewal theoretic selection principle: The first divisible sum
• A semigroup approach to Poisson approximation
• Poisson approximation for dependent trials
• On Ch. Jordan's series for probability
• Uniform rates of convergence for Markov chain transition probabilities
• A property of power series with positive coefficients
• An elementary proof of the central limit theorem
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