Some strong epsilon-equivalence of random variables

DOI10.1007/BF02481023zbMath0513.60010MaRDI QIDQ1050694

Tadashi Matsunawa

Publication date: 1982

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

zbMATH Keywords

Kullback-Leibler informationapproximation of random variablesbinomial-Poisson approximationdistinguishability of distributions

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Convergence of probability measures (60B10) Measures of information, entropy (94A17)

Related Items (3)

Improvements in the Poisson approximation of mixed Poisson distributions ⋮ Variance expansion and Berry-Esseen bound for the number of vertices of a random polygon in a polygon ⋮ The exact and approximate distributions of linear combinations of selected order statistics from a uniform distribution

Cites Work

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• A note on the upper bound for the distance in total variation between the binomal and the Poisson distribution
• Upper bounds for the distance in total variation between the binomial or negative binomial and the Poisson distribution
• A Note on Hoeffding's Inequality
• On the Robustness of Some Characterizations of the Normal Distribution
• The Estimation of Reliability from Stress-Strength Relationships
• Verallgemeinerung eines Satzes von Prochorow und Le Cam

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