Stability of the Characterization Results in Terms of Hazard Rate and Mean Residual Life for the Univariate and Bivariate Setups

DOI10.1080/03610926.2011.595870zbMath1417.34119OpenAlexW2086696228MaRDI QIDQ4929211

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Publication date: 13 June 2013

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610926.2011.595870

zbMATH Keywords

exponential distributioncharacterizationmean residual lifehazard rateLomax distributionstability property

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Characterization and structure theory of statistical distributions (62E10) Stability of solutions to ordinary differential equations (34D20) Ordinary differential equations and systems with randomness (34F05) Generation, random and stochastic difference and differential equations (37H10)

Related Items (1)

The lack of memory property in the density form

Cites Work

• Characterizations and model selections through reliability measures in the discrete case
• Stability of the characterization of normal distribution in the Laha-Lukacs theorem.
• Bivariate extension of Lomax and finite range distributions through characterization approach
• On bivariate lack of memory property and a new definition
• Stability estimation of characterization by the lack of memory property
• Bivariate Exponential Distributions
• Stability theorems
• Stability of a characterization by the identical distribution of linear forms

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