Stage life testing with random stage changing times

Benjamin Laumen and Erhard Cramer

Communications in Statistics - Theory and Methods, 2022, vol. 51, issue 12, 3934-3959

Abstract: In progressive Type-II censoring, it is often claimed that the withdrawn items are further tested under different conditions but a model incorporating this information has not been discussed so far. Introducing the model of Type-II stage life testing, we propose an approach to include information from progressively censored units subject to additional life testing by assuming a cumulative exposure model. Postulating exponentially distributed lifetimes, we establish the exact (conditional) distribution of the maximum likelihood estimators which is applied to construct (exact) confidence intervals for the distribution parameters. Further, we investigate the model with Weibull distributed lifetimes as well as the problem of missing information about the stage of failure. The study is supplemented by illustrative simulations.

Date: 2022
References: Add references at CitEc
Citations:

Downloads: (external link)
http://hdl.handle.net/10.1080/03610926.2020.1805764 (text/html)
Access to full text is restricted to subscribers.

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:taf:lstaxx:v:51:y:2022:i:12:p:3934-3959

Ordering information: This journal article can be ordered from
http://www.tandfonline.com/pricing/journal/lsta20

DOI: 10.1080/03610926.2020.1805764

Access Statistics for this article

Communications in Statistics - Theory and Methods is currently edited by Debbie Iscoe

More articles in Communications in Statistics - Theory and Methods from Taylor & Francis Journals
Bibliographic data for series maintained by Chris Longhurst ().