Classical and bayesian inferences in step-stress partially accelerated life tests for inverse weibull distribution under type-I censoring

Yükleniyor...
Küçük Resim

Tarih

2020

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Springer

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

This paper deals with the classical and Bayesian estimations of step-stress partially accelerated life test model under type-I censoring for the inverse Weibull lifetime distribution. In classical estimation, the maximum likelihood estimates of the distribution parameters and the acceleration factor were obtained. In addition, approximate confidence intervals of the parameters were constructed based on the asymptotic distribution of the maximum likelihood estimators. Under Bayesian inference, besides the Lindley and Tierney–Kadane approximation posterior expectation methods, which yielded point estimates of the distribution parameters and the acceleration factors under square error loss function, we also applied the Gibbs sampling method, in order to construct credible intervals of these parameters together with their point estimates. Finally, Monte Carlo simulations were conducted to compare the performances of the above estimation methods.

Açıklama

Anahtar Kelimeler

Step-stress partially accelerated life test, Inverse Weibull distribution, Type-I censoring, Maximum likelihood estimation, Bayesian estimation, Gibbs sampling

Kaynak

Strength of Materials

WoS Q Değeri

Q4

Scopus Q Değeri

Q4

Cilt

52

Sayı

3

Künye

Akgül, F. G., Yu, K., & Şenoğlu, B. (2020). Classical and Bayesian Inferences in Step-Stress Partially Accelerated Life Tests for Inverse Weibull Distribution Under Type-I Censoring. Strength of Materials, 52 (3), 480-496. Doi: 10.1007/s11223-020-00200-y.