A Bayesian approach for quantile and response probability estimation with applications to reliability

DOI10.1007/BF00050775zbMath0703.62038MaRDI QIDQ916256

Nozer D. Singpurwalla, Shaked, Moshe

Publication date: 1990

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

zbMATH Keywords

accelerated life testingDirichlet processquantilesquantile estimationDHRbioassaydose-response experimentsdamage predictionestimation of a potency curveIHRIHRAlow dose extrapolationsensitivity testing

Mathematics Subject Classification ID

Applications of statistics to biology and medical sciences; meta analysis (62P10) Bayesian inference (62F15) Reliability and life testing (62N05)

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OPTIMAL DESIGN OF SIMPLE STEP-STRESS ACCELERATED LIFE TESTS FOR ONE-SHOT DEVICES UNDER EXPONENTIAL DISTRIBUTIONS, Bayesian estimation of unimodal distributions, Bayesian design for accelerated life testing, EM-type algorithms for computing restricted MLEs in multivariate normal distributions and multivariatet-distributions, Bayesian bootstrap methods for developmental toxicity studies

Cites Work

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• Bayesian bioassay design
• Bayesian nonparametric inference for quantal response data
• Estimation of starshaped sequences of Poisson and normal means
• A Bayesian nonparametric approach to reliability
• Posterior distribution of a Dirichlet process from quantal response data
• Mixtures of Dirichlet processes with applications to Bayesian nonparametric problems
• A Bayesian approach to binary response curve estimation
• Prior distributions on spaces of probability measures
• Sigmoidally Constrained Maximum Likelihood Estimation in Quantal Bioassay
• The influence of the sample on the posterior distribution
• On the concavity of the waiting-time distribution in some GI/G/1 queues
• Linear Bayes estimators of the potency curve in bioassay
• Nonparametric Estimation With Censored Data From A Distributtion With Nonincreasing Density
• The Survival Curve with Decreasing Density
• A bayesian nonparametric estimator of survival probability assuming increasing failure rate
• Asymptotically minimax estimation of concave and convex distribution functions
• Bayesian Bio-Assay