Reliability estimation for two-parameter Weibull distribution under block censoring

Tiefeng Zhu

Reliability Engineering and System Safety, 2020, vol. 203, issue C

Abstract: Weibull distribution and block censoring scheme play an important role in life testing and reliability engineering. The block censoring can improve the efficiency of test by allowing testers to assign a pre-assigned number of units to different test facilities. In this paper, we develop a hierarchical model for estimating reliability performances (reliability, hazard rate and the mean time to failure) as well as the differences in different test facilities under the assumption that the lifetimes of units are block censored Weibull population. We show how proposed estimation methods can be employed to infer these three reliability performances and the differences in different test facilities, and the behavior of Bayes method are compared to maximum likelihood estimates method via extensive simulations. It is found that proposed hierarchical model, together with non-informative priors, utilizing hybrid Metropolis-Hasting sampling, shows better performance than non-hierarchical model using maximum likelihood method by borrowing strength across test units. Finally, one real example from engineering reliability has been analyzed for illustrative purposes.

Keywords: Weibull distribution; Hierarchical model; Reliability performances; Differences in different test facilities (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (7)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S095183202030572X
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:reensy:v:203:y:2020:i:c:s095183202030572x

DOI: 10.1016/j.ress.2020.107071

Access Statistics for this article

Reliability Engineering and System Safety is currently edited by Carlos Guedes Soares

More articles in Reliability Engineering and System Safety from Elsevier
Bibliographic data for series maintained by Catherine Liu ().