ORDER STATISTICS FROM HETEROGENOUS NEGATIVE BINOMIAL RANDOM VARIABLES

DOI10.1017/S0269964811000118zbMath1239.60009MaRDI QIDQ2884247

Maochao Xu, Taizhong Hu

Publication date: 24 May 2012

Published in: Probability in the Engineering and Informational Sciences (Search for Journal in Brave)

zbMATH Keywords

redundant systemsextreme order statisticsheterogeneous negative binomial random variablesPoisson-Gamma shock model

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Reliability, availability, maintenance, inspection in operations research (90B25) Combinatorial probability (60C05)

Related Items (6)

Comparisons of series and parallel systems with heterogeneous exponentiated geometric components ⋮ Stochastic comparisons on extreme order statistics from observations associated by FGM copula ⋮ On maximum order statistics from heterogeneous geometric variables ⋮ ORDERING PROPERTIES OF SPACINGS FROM HETEROGENEOUS GEOMETRIC SAMPLES ⋮ ORDERING PROPERTIES OF ORDER STATISTICS FROM HETEROGENEOUS POPULATIONS: A REVIEW WITH AN EMPHASIS ON SOME RECENT DEVELOPMENTS ⋮ Comparisons of order statistics from heterogeneous negative binomial variables with applications

Cites Work

• Stochastic orders
• Stochastic comparisons of order statistics from heterogeneous populations, with applications in reliability
• On the Evaluation of the Negative Binomial Distribution with Examples
• On Certain Redundant Systems Which Operate at Discrete Times
• EQUIVALENT CHARACTERIZATIONS ON ORDERINGS OF ORDER STATISTICS AND SAMPLE RANGES
• A note on stochastic ordering of order statistics
• The order statistics of the negative binomial distribution
• Some results for the order statistics of the negative binomial distribution under slippage configuration
• Inequalities: theory of majorization and its applications

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