Estimation and testing procedures for the reliability characteristics of Kumaraswamy-G distributions based on the progressively first failure censored samples

Ajit Chaturvedi (), Renu Garg () and Shubham Saini ()
Additional contact information
Ajit Chaturvedi: University of Delhi
Renu Garg: University of Delhi
Shubham Saini: University of Delhi

OPSEARCH, 2022, vol. 59, issue 2, No 4, 494-517

Abstract: Abstract This paper deals with the classical estimation of the mission time reliability $$R(t)=P(X>t)$$ R ( t ) = P ( X > t ) and stress–strength reliability $$\delta =P(X>Y)$$ δ = P ( X > Y ) for Kumaraswamy-G distributions using progressively first failure censored data. It is assumed that the stress and strength variables follow independent Kumaraswamy-G distributions. The uniformly minimum variance unbiased and maximum likelihood estimators of the parameters, reliability functions R(t) and $$\delta$$ δ are developed. The asymptotic confidence intervals and hypothesis testing for the parameters and $$\delta$$ δ are obtained. A simulation study to evaluate the performance of the developed estimators is performed. Finally, a couple of real data examples is analyzed for illustrative purposes.

Keywords: Kumaraswamy-G distribution; Stress–strength reliability; Progressive first failure censoring; Uniformly minimum variance unbiased estimation; Maximum likelihood estimation; confidence interval; Hypotheses testing; 62N05; 62F10; 62F03 (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://link.springer.com/10.1007/s12597-021-00523-7 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

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:spr:opsear:v:59:y:2022:i:2:d:10.1007_s12597-021-00523-7

Ordering information: This journal article can be ordered from
http://www.springer. ... search/journal/12597

DOI: 10.1007/s12597-021-00523-7

Access Statistics for this article

OPSEARCH is currently edited by Birendra Mandal

More articles in OPSEARCH from Springer, Operational Research Society of India
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().