The limiting failure rate for a convolution of life distributions

DOI10.1239/jap/1445543854zbMath1323.62100OpenAlexW1757985425MaRDI QIDQ3449940

Henry W. Block, Naftali A. Langberg, Thomas H. Savits

Publication date: 30 October 2015

Published in: Journal of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jap/1445543854

zbMATH Keywords

reliabilityconvolutiondecreasing failure rateincreasing failure ratefailure rate function

Mathematics Subject Classification ID

Applications of renewal theory (reliability, demand theory, etc.) (60K10) Reliability and life testing (62N05)

Related Items (5)

COPULA REPRESENTATIONS FOR THE SUM OF DEPENDENT RISKS: MODELS AND COMPARISONS ⋮ The asymptotic hazard rate of sums of discrete random variables ⋮ On sums of dependent random lifetimes under the time-transformed exponential model ⋮ A note on the limiting behaviour of hazard rate functions of generalized mixtures ⋮ Bounds for the hazard rate and the reversed hazard rate of the convolution of dependent random lifetimes

Cites Work

• Unnamed Item
• The limiting failure rate for a convolution of gamma distributions
• Tail behaviour of the failure rate functions of mixtures
• Life distributions. Structure of nonparametric, semiparametric, and parametric families.
• Generalized mixtures in reliability modelling: Applications to the construction of bathtub shaped hazard models and the study of systems
• Burn-in and mixed populations
• Initial and final behaviour of failure rate functions for mixtures and systems
• HOW TO OBTAIN BATHTUB-SHAPED FAILURE RATE MODELS FROM NORMAL MIXTURES

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