Estimation of Reliability in Multicomponent Stress-Strength Based on Dagum Distribution

Fulment Arnold K. (), Josephat Peter K. () and Srinivasa Rao Gadde ()
Additional contact information
Fulment Arnold K.: Department of Statistics, School of Mathematical Sciences, The University of Dodoma, P.O. Box 338, Dodoma, Tanzania
Josephat Peter K.: Department of Statistics, School of Mathematical Sciences, The University of Dodoma, P.O. Box 338, Dodoma, Tanzania
Srinivasa Rao Gadde: Department of Statistics, School of Mathematical Sciences, The University of Dodoma, P.O. Box 338, Dodoma, Tanzania

Stochastics and Quality Control, 2017, vol. 32, issue 2, 77-85

Abstract: We consider the Dagum distribution for estimating the reliability of a k-component stress-strength system with different shape values of the shape parameter. We assume that the system has strength modelled by k independent and identically distributed random variables, and each system’s component experiences random stress. We construct maximum likelihood estimators for the system’s reliability and study their asymptotic properties. We evaluate the small sample performance of the estimators through Monte Carlo simulation. Finally, we illustrate the procedure using real data.

Keywords: Dagum Distribution; Reliability; Stress-Strength Model; Maximum Likelihood Estimation; Asymptotic Confidence Interval (search for similar items in EconPapers)
Date: 2017
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1515/eqc-2017-0009 (text/html)
For access to full text, subscription to the journal or payment for the individual article is required.

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:bpj:ecqcon:v:32:y:2017:i:2:p:77-85:n:1

Ordering information: This journal article can be ordered from
https://www.degruyter.com/journal/key/eqc/html

DOI: 10.1515/eqc-2017-0009

Access Statistics for this article

Stochastics and Quality Control is currently edited by George P. Yanev

More articles in Stochastics and Quality Control from De Gruyter
Bibliographic data for series maintained by Peter Golla ().