Journal of Computational and Applied Mathematics
Computational Statistics & Data Analysis
Journal of Computational and Applied Mathematics
Risk analysis under progressive type II censoring with binomial claim numbers
Journal of Computational and Applied Mathematics
A Bayesian inference approach to identify a Robin coefficient in one-dimensional parabolic problems
Journal of Computational and Applied Mathematics
Journal of Computational and Applied Mathematics
Two-sided tolerance intervals in the exponential case: Corrigenda and generalizations
Computational Statistics & Data Analysis
Bounding maximum likelihood estimates based on incomplete ordered data
Computational Statistics & Data Analysis
Bayesian estimation based on trimmed samples from Pareto populations
Computational Statistics & Data Analysis
Bayesian analysis of binary sequences
Journal of Computational and Applied Mathematics
Journal of Computational and Applied Mathematics
Sparse Bayesian learning for the Laplace transform inversion in dynamic light scattering
Journal of Computational and Applied Mathematics
On flexible progressive censoring
Journal of Computational and Applied Mathematics
Optimal acceptance sampling plans for log-location-scale lifetime models using average risks
Computational Statistics & Data Analysis
Computational Statistics & Data Analysis
Smallest Pareto confidence regions and applications
Computational Statistics & Data Analysis
Computing optimal confidence sets for Pareto models under progressive censoring
Journal of Computational and Applied Mathematics
Hi-index | 7.29 |
In many reliability analyses, the probability of obtaining a defective unit in a production process should not be considered constant even though the process is stable and in control. Engineering experience or previous data of similar or related products may often be used in the proper selection of a prior model to describe the random fluctuations in the fraction defective. A generalized beta family of priors, several maximum entropy priors and other prior models are considered for this purpose. In order to determine the acceptability of a product based on the lifelengths of some test units, failure-censored reliability sampling plans for location-scale distributions using average producer and consumer risks are designed. Our procedure allows the practitioners to incorporate a restricted parameter space into the reliability analysis, and it is reasonably insensitive to small disturbances in the prior information. Impartial priors are used to reflect prior neutrality between the producer and the consumer when a consensus on the elicited prior model is required. Nonetheless, our approach also enables the producer and the consumer to assume their own prior distributions. The use of substantial prior information can, in many cases, significantly reduce the amount of testing required. However, the main advantage of utilizing a prior model for the fraction defective is not necessarily reduced sample size but improved assessment of the true sampling risks. An example involving shifted exponential lifetimes is considered to illustrate the results.