Estimation in step-stress accelerated life tests for power generalized Weibull distribution with progressive censoring
M.M. Mohie El-Din; S.E. Abu-Youssef; Nahid S.A. Ali; Mohamed, Abd El-Raheem;
Abstract
Based on progressive censoring, step-stress partially accelerated life tests are considered when the lifetime of a product follows power generalized Weibull distribution. The maximum likelihood estimates (MLEs) and Bayes estimates (BEs) are obtained for the distribution parameters and the acceleration factor. In addition, the approximate and bootstrap confidence intervals (CIs) of the estimators are presented. Furthermore, the optimal stress change time for the step-stress partially accelerated life test is determined by minimizing the asymptotic variance of MLEs of the model parameters and the acceleration factor. Simulation results are carried out to study the precision of the MLEs and BEs for the parameters involved.
Other data
Title | Estimation in step-stress accelerated life tests for power generalized Weibull distribution with progressive censoring | Authors | M.M. Mohie El-Din ; S.E. Abu-Youssef ; Nahid S.A. Ali ; Mohamed, Abd El-Raheem | Issue Date | 2015 | Publisher | Hindawi | Journal | Advances in Statistics | DOI | 10.1155/2015/319051 |
Recommend this item
Similar Items from Core Recommender Database
Items in Ain Shams Scholar are protected by copyright, with all rights reserved, unless otherwise indicated.