Estimation of the extended Weibull parameters and acceleration factors in the step-stress accelerated life tests under an adaptive progressively hybrid censoring data

Abstract

Based on the tampered failure rate model under the adaptive Type-II progressively hybrid censoring data, we discuss the maximum likelihood estimators of the unknown parameters and acceleration factors in the general step-stress accelerated life tests in this paper. We also construct the exact and unique confidence interval for the extended Weibull shape parameter. In the numerical analysis, we describe the simulation procedures to obtain the adaptive Type-II progressively hybrid censoring data in the stepstress accelerated life tests and present an experimental data to illustrate the performance of the estimators. ARTICLE HISTORY

Estimation for Entropy and Parameters of Generalized Bilal Distribution under Adaptive Type II Progressive Hybrid Censoring Scheme

“…1. 9; the value of  was taken as 6 10  . For different sample sizes n and different effective samples m and time T, we used 3000 simulated samples in each case.…”

“…Mazen et al [ 5 ] discussed the statistical analysis of the Weibull distribution under an adaptive Type-II progressive hybrid censoring scheme. Zhang et al [ 6 ] investigated the maximum likelihood estimations (MLEs) of the unknown parameters and acceleration factors in the step-stress accelerated life test, based on the tampered failure rate model with ATII-PHC samples. Cui et al [ 7 ] studied the point and interval estimates of the parameters from the Weibull distribution, based on adaptive Type-II progressive hybrid censored data in a constant-stress accelerated life test.…”

Statistical Analysis of a Lifetime Distribution with a Bathtub-Shaped Failure Rate Function under Adaptive Progressive Type-II Censoring

“…Essam Kh Ahmed [8] further used the Markov Chain Monte Carlo method (MCMC) for Bayes estimation with the progressive type-II censored data. Zhang [9] discussed acceleration factors based on the tampered failure rate model. The probability density function (pdf) of Chen(β, θ) is given by…”

“…Therefore, the likelihood function for X R 1:m:n , X R 2:m:n , ..., X R m:m:n taken from the Chen(β, θ) is Thus, givenβ, the correspondingθ with (9) can be obtained. However, we cannot get the closed forms of (7) and (9). Therefore, numerical methods are included, such as Newton's method, to determine the expected estimates.…”

Statistical inference on accelerated life testing with dependent competing failure model under progressively type‐II censored data based on copula theory

“…Wang 5 discussed a simple constant‐stress ALT when the lifetime of products follows a general lower truncated family of distributions. Zhang and Shi 6 estimated the extend Weibull parameters and acceleration factors in step‐stress ALTs under an adaptive progressively hybrid censoring data. Amulya et al 7 have considered progressive‐stress ALT for the logistic exponential distribution under type‐II censored data.…”