SS-PALT Combined With Type-I Progressive Hybrid Burr Type-XII Data for Bayes Estimation

Gyan Prakash ； Manoj Kumar Mishra

《International Journal of Intelligent Technologies and Applied Statistics》 12卷4期 (2019/12) Pp. 395-416

https://doi.org/10.6148/IJITAS.201912_12(4).0004

摘要

The Burr type-XII distribution have considered for the Bayes estimation under the linear exponential (LINEX) loss function. We consider here type-I progressive hybrid (T-IPH) censoring criterion, combined with step-stress partially accelerated life (SS-PALT) test for the present study. The Bayes risks under simulation using Metropolis-Hastings (M-H) algorithm and the real data set has obtained from the LINEX loss function. Based on the Bayes risks we discussed here the fruitfulness of the above scenario under three different criteria. The optimal stress change time also has been measured by the method of minimization of the asymptotic variance of maximum likelihood (ML) estimation. The Bayes estimator under squared loss function and their mean squared error also has been obtained for comparing under the above scenario.

關鍵字

step-stress partially accelerated life test (SS-PALT) ； type-I progressive hybrid (T-IPH) censoring ； Bayes risks ； linear exponential (LINEX) loss function ； maximum likelihood (ML) estimation