Parameter estimation for a two-parameter bathtub-shaped lifetime distribution

DOI10.1016/j.apm.2011.12.054zbMath1255.62315OpenAlexW2063464310MaRDI QIDQ1930744

Ammar M. Sarhan, Bruce Ralph Smith, David C. Hamilton

Publication date: 13 January 2013

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2011.12.054

zbMATH Keywords

reliabilitymaximum likelihood estimatorBayes estimatorMonte Carlo integrationsimulation-based methodslindley approximation

Mathematics Subject Classification ID

Bayesian inference (62F15) Estimation in survival analysis and censored data (62N02) Reliability and life testing (62N05)

Related Items (11)

Bayesian estimation of stress–strength reliability for two-parameter bathtub-shaped lifetime distribution based on maximum ranked set sampling with unequal samples ⋮ Estimation using hybrid censored data from a two-parameter distribution with bathtub shape ⋮ Statistical inference for bathtub-shaped distribution based on generalized progressive hybrid censored data ⋮ Bayesian estimation based on progressive Type-II censoring from two-parameter bathtub-shaped lifetime model: an Markov chain Monte Carlo approach ⋮ Unnamed Item ⋮ On a weighted exponential distribution with a logarithmic weight: theory and applications ⋮ Inference for the two-parameter bathtub-shaped distribution based on record data ⋮ Statistical inference for the Rayleigh distribution under progressively type-II censoring with binomial removal ⋮ Marshall–Olkin extended two-parameter bathtub-shaped lifetime distribution ⋮ Inference of progressively type-II censored competing risks data from Chen distribution with an application ⋮ Reliability estimation for the bathtub-shaped distribution based on progressively first-failure censoring sampling

Uses Software

• SPLIDA

Cites Work

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• The transform likelihood ratio method for rare event simulation with heavy tails
• A new two-parameter lifetime distribution with bathtub shape or increasing failure rate function
• Estimation of the two-parameter bathtub-shaped lifetime distribution with progressive censoring
• A Reliability Distribution with Increasing, Decreasing, Constant and Bathtub-Shaped Failure Rates
• Analytical hazard representations for use in reliability, mortality, and simulation studies
• An exponential power life-testing distribution
• Exponentiated Weibull family for analyzing bathtub failure-rate data
• A new statistical model of tumor latency time

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