Some characterizations of discrete distributions based on linear regressions of adjacent order statistics

DOI10.1016/0378-3758(88)90083-3zbMath0659.62016OpenAlexW2005966140MaRDI QIDQ1112486

H. N. Nagaraja

Publication date: 1988

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(88)90083-3

zbMATH Keywords

characterizationsgeometric distributionlinear predictiondiscrete distributionbest predictorsdiscrete uniform distributionsregressions of adjacent order statistics

Mathematics Subject Classification ID

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

Related Items (8)

Characterizations via Linear Regression of Ordered Random Variables: A Unifying Approach ⋮ New Characterizations by Properties of Midrange and Related Statistics ⋮ Characterization of discrete populations through conditional expectations of order statistics ⋮ Order Statistics from Discrete Distributions ⋮ A characterization by linearity of the regression function based on order statistics. ⋮ \(k\)\,th records from geometric distribution ⋮ Linearity of convex mean residual life ⋮ Characterizations of geometric distribution through progressively Type-II right-censored order statistics

Cites Work

• Structure of discrete order statistics
• Recent results on characterization of probability distributions: a unified approach through extensions of Deny&s theorem
• Characterization of the geometric distribution by the form of a predictor
• An extension of the Rao-Rubin characterization of the Poisson distribution
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