On Characterization of Continuous Distributions with Adjacent Order Statistics

DOI10.1080/02331889508802504zbMath0836.62013OpenAlexW1969193044MaRDI QIDQ4857307

Manuel Franco, José-María Ruiz

Publication date: 6 May 1996

Published in: Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331889508802504

zbMATH Keywords

order statisticscharacterizationconditional expectationnecessary and sufficient conditionsregressionrandom sampleorder mean function

Mathematics Subject Classification ID

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

Related Items (13)

Characterizations via regression of generalized order statistics ⋮ Characterizations via Linear Regression of Ordered Random Variables: A Unifying Approach ⋮ On the unique characterization of continuous distributions by single regression of non-adjacent generalized order statistics ⋮ On characterizations of distributions by expected values of order statistics and record values with gap ⋮ Characterization of discrete populations through conditional expectations of order statistics ⋮ On characterization of certain distributions of record values ⋮ Unnamed Item ⋮ Characterization of distributions by conditional expectation of record values ⋮ Letter to the editor ⋮ On characterizations of distributions by regression of adjacent generalized order statistics ⋮ Uniqueness of characterization of absolutely continuous distributions by regressions of generalized order statistics ⋮ Characterizations based on conditional expectations ⋮ Some characterization results based on the conditional expectation of function of non-adjacent order statistic (record value)

Cites Work

• A note on characterization by the conditional expectation
• Some consequences of a characterization theorem based on truncated moments
• A characterization based on conditional expectations
• Characterization by truncated moments and its application to Pearson-type distributions
• Some new approaches to probability distributions
• Moments of order statistics from parabolic and skewed distributions and a characterization of weibull distribution
• The Characterizations for Exponential and Geometric Distributions
• On a Characterization by Conditional Expectations
• An Alternative Proof of the Characterization of the Density Ax B

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