Bayesian sequential reliability for Weibull and related distributions

DOI10.1007/BF01720582zbMath0814.62044OpenAlexW2022640582WikidataQ56941479 ScholiaQ56941479MaRDI QIDQ1336521

Dongchu Sun, James O. Berger

Publication date: 18 June 1995

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01720582

zbMATH Keywords

exponential distributionPoisson processWeibull distributionconsumer's riskproducer's riskBayesian sequential reliability demonstration testing planexpected stopping timeexponential failure timeinverse Gamma prior

Mathematics Subject Classification ID

Bayesian inference (62F15) Sequential statistical analysis (62L10) Reliability and life testing (62N05)

Related Items (9)

Empirical bayes estimation of reliability characteristics for an exponential family ⋮ Unnamed Item ⋮ Reliability acceptance sampling plans for the Weibull distribution under accelerated Type-I censoring ⋮ An alternative competing risk model to the Weibull distribution for modelling aging in lifetime data analysis ⋮ Eliciting vague but proper maximal entropy priors in Bayesian experiments ⋮ Inference for a simple step-stress model based on ordered ranked set sampling ⋮ Advances in Bayesian decision making in reliability ⋮ Likelihood inference for a step-stress partially accelerated life test model with Type-I progressively hybrid censored data from Weibull distribution ⋮ Exact computation for some sequential tests

Uses Software

• TTT-plotting

Cites Work

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• Point processes and queues. Martingale dynamics
• TTT-plotting -- a tool for both theoretical and practical problems
• Robustness of Sequential Exponential Life-Testing Procedures
• Relationships Between Some Notions Which are Common to Reliability Theory and Economics
• On the Evidence Needed to Reach Agreed Action Between Adversaries, with Application to Acceptance Sampling
• Bounds on the Maximum Sample Size of a Bayes Sequential Procedure
• On estimation in weibull distributions with random scale parameters
• A sequential bayes procedure for reliability demonstration
• A Bayesian Sequential Life Test
• Life Testing
• Sequential Life Tests in the Exponential Case

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