Characterizations of Lifetime Distributions Based on Doubly Truncated Mean Residual Life and Mean Past to Failure

DOI10.1080/03610926.2010.535626zbMath1301.62102OpenAlexW2099020986MaRDI QIDQ2884908

M. Khorashadizadeh, Abdol-Hamid Rezaei Roknabadi, Gholam Reza Mohtashami Borzadaran

Publication date: 18 May 2012

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

Full work available at URL: https://doi.org/10.1080/03610926.2010.535626

zbMATH Keywords

Pearson family of distributionsdoubly truncated mean past to failure (DMPF)doubly truncated mean residual life (DMRL)general failure rate (GFR)telescopic family of distributions

Mathematics Subject Classification ID

Reliability, availability, maintenance, inspection in operations research (90B25) Characterization and structure theory of statistical distributions (62E10) Reliability and life testing (62N05)

Related Items (6)

On interval weighted cumulative residual and past extropies ⋮ Doubly truncated (interval) cumulative residual and past entropy ⋮ Interval extropy and weighted interval extropy ⋮ Limiting behavior of the gap between the largest two representative points of statistical distributions ⋮ Variance residual life function based on double truncation ⋮ Further results on discrete mean past lifetime

Cites Work

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• Characterization of discrete distributions using expected values
• Characterization of the Pearson family of distributions
• Reliability Properties of Reversed Residual Lifetime
• Characterizations from Relationships Between Failure Rate Functions and Conditional Moments
• Characterizations of Life Distributions Using Conditional Expectations of Doubly (Interval) Truncated Random Variables

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