Linearity of regression for the past weak and ordinary records

DOI10.1080/02331880412331319288zbMath1055.62058OpenAlexW2023973788MaRDI QIDQ4651102

Jacek Wesołowski, Fernando López-Blázquez

Publication date: 21 February 2005

Published in: Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331880412331319288

zbMATH Keywords

recordsgeometric distributionlinearity of regressionweak recordsbackward martingales

Mathematics Subject Classification ID

Martingales with discrete parameter (60G42) Statistics of extreme values; tail inference (62G32) Characterization and structure theory of statistical distributions (62E10)

Related Items (12)

An additive property of weak records from geometric distributions ⋮ Weak kth records from geometric distribution and some characterizations ⋮ Asymptotic behavior of the ratio of weak kth records ⋮ Limit theorems for the spacings of weak records ⋮ NONNEGATIVITY OF COVARIANCES BETWEEN FUNCTIONS OF ORDERED RANDOM VARIABLES ⋮ A Review on Characterizations of Discrete Distributions Based on Records andkth Records ⋮ A note on large deviations for weak records ⋮ Limit theorems for the ratio of weak records ⋮ Laws of large numbers for the number of weak records ⋮ On characterizing discrete distributions via conditional expectations of weak record values ⋮ Limiting behavior of the ratio of \(k\)th records ⋮ Regressions for sums of squares of spacings

Cites Work

• Limit theorems for records from discrete distributions
• Some characterizations of geometric tail distributions based on record values
• A Characterization Theorem for Weak Records
• Characterizations of discrete distributions based on conditional expectations of record values
• Discrete distributions for which the regression of the first record on the second is linear

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