Linearity of regression for non-adjacent record values

DOI10.1016/S0378-3758(00)00113-0zbMath0991.62005OpenAlexW1995309580MaRDI QIDQ1591280

Jacek Wesołowski, Anna Dembińska

Publication date: 2 April 2001

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

Full work available at URL: https://doi.org/10.1016/s0378-3758(00)00113-0

zbMATH Keywords

exponential distributionrecord valuesextreme value distributionsPareto distributionpower distribution

Mathematics Subject Classification ID

Linear regression; mixed models (62J05) Exact distribution theory in statistics (62E15) Statistics of extreme values; tail inference (62G32) Probability distributions: general theory (60E05) Characterization and structure theory of statistical distributions (62E10)

Related Items (16)

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 the problem of the unique characterization of discrete distributions by single regression of weak records ⋮ Sequences of expected record values ⋮ Characterization of probability distributions by conditional expectation of function of record statistics ⋮ On a characterization of exponential, Pearson and Pareto distributions via covariance and pseudo-covariance ⋮ Characterizations of Aging Classes in Terms of Spacings Between Record Values ⋮ On characterization of certain distributions of \(k\)th lower (upper) record values ⋮ Generalized integrated Cauchy functional equation with applications to probability models ⋮ Characterizations based on record values and order statistics ⋮ Characterization of exponential distribution via regression of one record value on two non-adjacent record values ⋮ Characterization of distributions by conditional expectation of record values ⋮ Uniqueness of characterization of absolutely continuous distributions by regressions of generalized order statistics ⋮ Some characterization results based on the conditional expectation of function of non-adjacent order statistic (record value) ⋮ Regressions for sums of squares of spacings

Cites Work

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• Recent results on characterization of probability distributions: a unified approach through extensions of Deny&s theorem
• ON A CHARACTERIZATION BASED ON RECORD VALUES
• ON THE EXPECTED VALUES OF RECORD VALUES¹
• ON CHARACTERIZING DISTRIBUTIONS VIA LINEARITY OF REGRESSION FOR ORDER STATISTICS
• Record values and the exponential distribution
• Linearity of regression for non-adjacent order statistics.

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