A characterization by linearity of the regression function based on order statistics.

DOI10.1016/S0167-7152(03)00123-8zbMath1116.62309OpenAlexW1978087186MaRDI QIDQ1423172

I. S. Akhundov, Narayanaswamy Balakrishnan

Publication date: 14 February 2004

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

Full work available at URL: https://doi.org/10.1016/s0167-7152(03)00123-8

zbMATH Keywords

Order statisticsCharacterizationRegression function

Mathematics Subject Classification ID

Linear regression; mixed models (62J05) Order statistics; empirical distribution functions (62G30) Characterization and structure theory of statistical distributions (62E10)

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New Characterizations by Properties of Midrange and Related Statistics, Families of distributions arising from distributions of order statistics, Reliability properties of systems with exchangeable components and exponential conditional distributions, Characterizations based on certain regression assumptions of adjacent order statistics, From Student'st₂Distribution to Student'st₃Distribution Through Characterizations, On a Class of Distributions Defined by the Relationship Between Their Density and Distribution Functions, A simple characterization of Student's distributions and normal distributions, A simple characterization of Student's \(t_3\) distribution, Order statistics from overlapping samples: bivariate densities and regression properties, Characterizations based on regression assumptions of order statistics, Characterizations of Student's t-distribution via regressions of order statistics

Cites Work

• Some characterizations of discrete distributions based on linear regressions of adjacent order statistics
• ON CHARACTERIZING DISTRIBUTIONS VIA LINEARITY OF REGRESSION FOR ORDER STATISTICS
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