Characterizations from Relationships Between Failure Rate Functions and Conditional Moments

DOI10.1081/STA-200039069zbMath1087.62020OpenAlexW2007107403MaRDI QIDQ5290407

José-María Ruiz, Jorge Navarro

Publication date: 28 April 2006

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

Full work available at URL: https://doi.org/10.1081/sta-200039069

zbMATH Keywords

mean residual lifeconditional momentsHazard functiontruncated moment functions

Mathematics Subject Classification ID

Characterization and structure theory of statistical distributions (62E10) Reliability and life testing (62N05)

Related Items (13)

Characterizations of Lifetime Distributions Based on Doubly Truncated Mean Residual Life and Mean Past to Failure ⋮ Characterization of Mixtures of Weibull and Pareto Distributions Based on Conditional Expectation of Order Statistics ⋮ Characterizations of Life Distributions Using Conditional Expectations of Doubly (Interval) Truncated Random Variables ⋮ Some results on upper bounds for the variance of functions of the residual life random variables ⋮ On generalized moment identity and its applications: a unified approach ⋮ Variance residual life function based on double truncation ⋮ Characterizations using the bivariate failure rate function ⋮ Characterizations of multivariate life distributions ⋮ Characterization of continuous distributions by properties of conditional variance ⋮ Characterizations of distributions using log odds rate ⋮ Mean residual life functions of finite mixtures, order statistics and coherent systems ⋮ Characterizations and ordering properties based on log-odds functions ⋮ On some properties of equilibrium distributions of order \(n\)

Cites Work

• Characterizations based on conditional expectations of the doubled truncated distribution
• Characterization of discrete distributions using expected values
• A characterization based on conditional expectations
• Characterization of the Pearson family of distributions
• Aspects of positive ageing
• Characterizations of Gamma and negative binomial distributions (reliability application)
• Some new approaches to probability distributions
• On the characterization of survival distributions in reliability by properties of their renewal densities
• Characterization of beta, binomial, and Poisson distributions
• On characterization of distribution by conditional expectation
• New Stochastic Orders Based on Double Truncation
• Properties of Probability Distributions with Monotone Hazard Rate
• On characterizing mixtures of some life distributions

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