Characterization of a family of discrete distributions via a Chernoff type inequality

DOI10.1016/0167-7152(87)90107-6zbMath0623.62009OpenAlexW2002316843MaRDI QIDQ1091689

Deo Kumar Srivastava, Sreehari Maddipatla

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0167-7152(87)90107-6

zbMATH Keywords

discrete distributionscharacterization theoremChernoff inequalityvariance boundsnon-negative integer valued random variables

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Characterization and structure theory of statistical distributions (62E10)

Related Items (9)

Characterizations of distributions by generalizations of variance bounds and simple proofs of the CLT ⋮ Chernoff-type inequality and variance bounds ⋮ Characterizations of distributions by variance bounds ⋮ An extension of the information inequality and related characterizations ⋮ Lower variance bounds and a new proof of the central limit theorem ⋮ A matrix variance inequality ⋮ Further results based on Chernoff-type inequalities ⋮ General characterization theorems based on versions of the Chernoff inequality and the Cox representation ⋮ General characterization theorems via the mean absolute deviation

Cites Work

• On upper bounds for the variance of functions of random variables
• Another characterization of multivariate normal distribution
• A note on an inequality involving the normal distribution

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