Estimation of constant-stress accelerated life test for Weibull distribution with nonconstant shape parameter

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:343

Article

Wang, Liang¹ 

[1] Xidian Univ, Sch Math & Stat, 2 Taiba Nanlu, Xian 710071, Shaanxi, Peoples R China

关键词: Accelerated life test;    Weibull population;    Progressive censoring;    Nonconstant shape parameters;    Maximum likelihood estimation;    Bootstrap technique;   

DOI  :  10.1016/j.cam.2018.05.012

来源: Elsevier

【 摘 要 】

Statistical inference is considered on constant-stress accelerated life test when the failure data are progressively Type-II censored. Under the assumption that the Weibull shape parameter is nonconstant and both Weibull parameters follow log-linear life-stress model with stress, the unknown coefficient parameters are estimated by using methods of maximum likelihood and expectation-maximization based estimations as well as approximation maximum likelihood estimation. The confidence intervals of unknown parameters are also constructed based on asymptotic theory and bootstrap technique. Simulation study and a real data example are presented for illustrative purpose. (C) 2018 Elsevier B.V. All rights reserved.

【 授权许可】

Free