Mixtures of distributions with increasing linear failure rates

DOI10.1239/jap/1053003558zbMath1029.62080OpenAlexW2059006517MaRDI QIDQ4435689

Thomas H. Savits, Henry W. Block, Eshetu T. Wondmagegnehu

Publication date: 17 November 2003

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

Full work available at URL: https://doi.org/10.1239/jap/1053003558

Mathematics Subject Classification ID

Exact distribution theory in statistics (62E15) Reliability and life testing (62N05)

Related Items (13)

A Note on the Failure Rates in Finite Mixed Populations ⋮ Stochastic properties of generalized finite α-mixtures ⋮ On some stochastic comparisons of arithmetic and geometric mixture models ⋮ Understanding the shape of the mixture failure rate (with engineering and demographic applications) ⋮ On asymptotic failure rates in bivariate frailty competing risks models ⋮ A Glaser Twist: Focus on the Mixture Parameters ⋮ Burn-in and the performance quality measures in heterogeneous populations ⋮ Optimal warranty policy with inspection for heterogeneous, stochastically degrading items ⋮ The alpha-mixture of survival functions ⋮ Continuous Mixtures with Bathtub-Shaped Failure Rates ⋮ Generalized mixtures in reliability modelling: Applications to the construction of bathtub shaped hazard models and the study of systems ⋮ Initial and final behaviour of failure rate functions for mixtures and systems ⋮ Variables acceptance reliability sampling plan for items subject to inverse Gaussian degradation process

Cites Work

• Tail behaviour of the failure rate functions of mixtures
• Understanding the shape of the hazard rate: A process point of view. (With comments and a rejoinder).
• Bayes Burn-In Decision Procedures
• Bathtub distributions: a review
• Bathtub and Related Failure Rate Characterizations
• Burn-in and mixed populations
• Reversal of Increasing Failure Rates When Pooling Failure Data
• Initial and final behaviour of failure rate functions for mixtures and systems
• ON CONDITIONS FOR MIXTURES OF INCREASING FAILURE RATE DISTRIBUTIONS TO HAVE AN INCREASING FAILURE RATE
• Ageing Characteristics of the Weibull Mixtures

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