Characterization of Continuous Distributions by Variance Bound and Its Implications to Reliability Modeling and Catastrophe Theory

DOI10.1080/03610920600629443zbMath1105.62016OpenAlexW2016215449MaRDI QIDQ3424152

Unnikrishnan N. Nair, Kumar Kattumannil Sudheesh

Publication date: 15 February 2007

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

Full work available at URL: https://doi.org/10.1080/03610920600629443

zbMATH Keywords

reliabilitycharacterizationfailure rateconditional expectationscatastrophe theoryvariance boundexponential and Pearson familiesstatistical catastrophes

Mathematics Subject Classification ID

Exact distribution theory in statistics (62E15) Characterization and structure theory of statistical distributions (62E10) Reliability and life testing (62N05)

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Characterizations of Distributions Based on Moments of Residual Life ⋮ Characterizations of the geometric distribution via residual lifetime ⋮ On lower bounds for the variance of functions of random variables. ⋮ Characterizations of multivariate life distributions ⋮ Characterization of continuous distributions by properties of conditional variance ⋮ A note on conditional variance and characterization of probability distributions ⋮ Characterizing Discrete Life Distributions by Properties of Reversed Variance Residual life ⋮ Reversed percentile residual life and related concepts ⋮ Quantile-Based Reliability Analysis

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