Average error in the central limit theorem for the cumulative processes

DOI10.1016/0167-7152(94)00171-4zbMath0833.60026OpenAlexW2090031168MaRDI QIDQ1903157

Allen Roginsky

Publication date: 11 January 1996

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

Full work available at URL: https://doi.org/10.1016/0167-7152(94)00171-4

zbMATH Keywords

central limit theoremcumulative processaverage of maximum errors

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Renewal theory (60K05)

Cites Work

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• Regenerative stochastic processes
• On the asymptotic distribution of the sum of a random number of independent random variables
• The exact order of normal approximation in bivariate renewal theory
• A central limit theorem by remainder term for renewal processes
• Renewal theory in two dimensions: asymptotic results
• A Central Limit Theorem for Cumulative Processes
• On Asymptotic Expansions in the Central Limit Theorem
• On the influence of moments on the rate of convergence to the normal distribution
• On the influence of moments on approximations by portion of a Chebyshev series in central limit convergence

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