Estimation of reliability in multicomponent stress-strength based on dagum distribution
Loading...
Date
2017
Journal Title
Journal ISSN
Volume Title
Publisher
Walter de Gruyter GmbH, Berlin
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.
Description
Abstract. Full text article available at https://doi.org/10.1515/eqc-2017-0009
Keywords
Dagum distribution, Reliability, Stress-strength model, Maximum likelihood estimation, Asymptotic confidence interval, 62F10, 62E20, 62F12, Distribution, Stress
Citation
Fulment, A. K., Josephat, P. K., & Rao, G. S. (2017). Estimation of reliability in multicomponent stress-strength based on dagum distribution. Stochastics and Quality Control, 32(2), 77-85.