Abstract:

The estimators for the component parameters and reliability of Birnbaum-Saunders (B-S) distribution under the progressive hybrid Type I censoring test are considered. B-S distribution is transferred to the mixture of inverse Gaussian and reciprocal of inverse Gaussian distribution with equal weight, and the posterior density function of potential variables and the pseudo log likelihood function in progressive Type I hybrid censoring are derived. In addition, the maximum likelihood estimation and asymptotic confidence interval for life parameters and reliability performance are obtained based on the pseudo log likelihood function. The numerical example results of Monte-Carlo show that the expectation maximization (EM) algorithm has a better performance in convergence with fewer iteration steps for progressive hybrid Type I censoring, and more results of estimation are given compared with normal censoring by analysis of data Case I and Case Ⅱ which get more accurate and complete statistical results.