用于指数可靠性增长模型的一类新的先验分布

该文提出了可用于指数分布产品四种可靠性增长试验方案的一类新的先验分布. 这类先验分布以条件分布形式给出, 它适合可靠性增长试验中的各种情况. 各阶段的条件均值和条件方差的表达式被获得, 先验分布的形式与它们的参数间的关系被讨论. 这些结果有助于与专家意见相结合.本文还给出试验末尾产品可靠性的后验密度, Bayesian估计和Bayesian下限.

A New Family of a prior Distributions for Exponential Reliability Growth Models

This paper introduces a new family of a prior distributions for four reliability growth testing scenarios with exponential failure data. The proposed prior is of conditional form, which can accord well with various actual situations in reliability growth tests. The expressions of corresponding conditional means and variances for all stages are obtained, and the relationship between the shape of a prior distributions and their parameters are discussed. These results are helpful for better incorporation of expert opinons. The posterior density and Bayesian estimators and Bayesian lower bound of the reliability at the end of the test are also given.