Estimation of Stress-Strength Reliability for Multicomponent System with Rayleigh Data

Energies

Kambiz Ahmadi¹  Yuhlong Lio²  Liang Wang³  Huizhong Lin³ 

[1] Department of Computer Science, Faculty of Mathematical Sciences, Shahrekord University, Shahrekord 115, Iran;Department of Mathematical Sciences, University of South Dakota, Vermillion, SD 57069, USA;School of Mathematics, Yunnan Normal University, Kunming 650500, China;

关键词: multicomponent stress-strength model;    rayleigh distribution;    likelihood estimation;    generalized pivotal estimation;    asymptotic theory;   

DOI  :  10.3390/en14237917

来源: DOAJ

【 摘 要 】

Inference is investigated for a multicomponent stress-strength reliability (MSR) under Type-II censoring when the latent failure times follow two-parameter Rayleigh distribution. With a context that the lifetimes of the strength and stress variables have common location parameters, maximum likelihood estimator of MSR along with the existence and uniqueness is established. The associated approximate confidence interval is provided via the asymptotic distribution theory and delta method. Meanwhile, alternative generalized pivotal quantities-based point and confidence interval estimators are also constructed for MSR. More generally, when the lifetimes of strength and stress variables follow Rayleigh distributions with unequal location parameters, likelihood and generalized pivotal-based estimators are provided for MSR as well. In addition, to compare the equivalence of different strength and stress parameters, a likelihood ratio test is provided. Finally, simulation studies and a real data example are presented for illustration.

【 授权许可】

Unknown