Some characterizations of geometric type distributions based on order statistics

DOI10.1016/0378-3758(87)90111-XzbMath0632.62010OpenAlexW1981977142MaRDI QIDQ1095520

R. C. Srivastava, H. N. Nagaraja

Publication date: 1987

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-3758(87)90111-x

zbMATH Keywords

independenceorder statisticscharacterizationsdiscrete distributionsgeometric distributionconditional distributionconditional independencespacing

Mathematics Subject Classification ID

Order statistics; empirical distribution functions (62G30) Characterization and structure theory of statistical distributions (62E10)

Related Items (6)

Characterizations or distributions of exponential of geometric type by the integrated lack of memory property and record vales ⋮ Characterization of discrete populations through conditional expectations of order statistics ⋮ Order Statistics from Discrete Distributions ⋮ Some characterizations of geometric tail distributions based on record values ⋮ Some results for type I censored sampling from geometric distributions ⋮ A note on characterizations of the geometric distribution

Cites Work

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• On the Markov property of order statistics
• Structure of discrete order statistics
• Characterization of the geometric distribution using properties of order statistics
• Characterizations of probability distributions. A unified approach with an emphasis on exponential and related models
• Characterizations of geometric distribution and discrete IFR(DFR) distribution using order statistics
• Distributions of order statistics for discrete case
• Characterizations of the geometric distribution by distributional properties
• On characterizations of the geometric distribution by independence of functions of order statistics
• Two characterizations of the geometric distribution
• An extension of the Rao-Rubin characterization of the Poisson distribution

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