Reliability analysis of multicomponent stress-strength reliability from a bathtub-shaped distribution.

Content Provider	Europe PMC
Author	Wang, Liang Wu, Ke Tripathi, Yogesh Mani Lodhi, Chandrakant
Copyright Year	2020
Abstract	In this paper, inference for a multicomponent stress–strength model is studied. When latent strength and stress random variables follow a bathtub-shaped distribution and the failure times are Type-II censored, the maximum likelihood estimate of the multicomponent stress–strength reliability (MSR) is established when there are common strength and stress parameters. Approximate confidence interval is also constructed by using the asymptotic distribution theory and delta method. Furthermore, another alternative generalized point and confidence interval estimators for the MSR are constructed based on pivotal quantities. Moreover, the likelihood and the pivotal quantities-based estimates for the MSR are also provided under unequal strength and stress parameter case. To compare the equivalence of the stress and strength parameters, the likelihood ratio test for hypothesis of interest is also provided. Finally, simulation studies and a real data example are given for illustration.
Related Links	https://europepmc.org/backend/ptpmcrender.fcgi?accid=PMC9041700&blobtype=pdf
Page Count	21
ISSN	02664763
Volume Number	49
DOI	10.1080/02664763.2020.1803808
PubMed Central reference number	PMC9041700
Issue Number	1
PubMed reference number	35707799
Journal	Journal of Applied Statistics [J Appl Stat]
e-ISSN	13600532
Language	English
Publisher	Taylor & Francis
Publisher Date	2020-08-08
Access Restriction	Open
Rights License	© 2020 Informa UK Limited, trading as Taylor & Francis Group
Subject Keyword	Multicomponent stress-strength model bathtub-shaped distribution likelihood estimation pivotal quantity generalized estimation
Content Type	Text
Resource Type	Article
Subject	Statistics and Probability Statistics, Probability and Uncertainty