A characterization of exponential and geometrical distributions and its stability bound

DOI10.1007/BF01104822zbMath0701.62022MaRDI QIDQ914277

M. V. Neupokoeva

Publication date: 1989

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

zbMATH Keywords

geometric distributionsexponential distributioncharacterizationlifetime distributionincreasing failure ratestability resultsdecreasing failure ratesrenewal type system

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Characterization and structure theory of statistical distributions (62E10) Applications of renewal theory (reliability, demand theory, etc.) (60K10) Reliability and life testing (62N05)

Cites Work

• Functional equation with an error term and the stability of some characterizations of the exponential distribution
• An extension of the Rao-Rubin characterization of the Poisson distribution
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