Open AccessEstimating the Reliability Function of some Stress- Strength Models for the Generalized Inverted Kumaraswamy Distribution
Author(s) -
Hakeeem Hussain Hamad,
Nada S. Karam
Publication year - 2021
Publication title -
iraqi journal of science
Language(s) - English
Resource type - Journals
eISSN - 2312-1637
pISSN - 0067-2904
DOI - 10.24996/ijs.2021.62.1.23
Subject(s) - mathematics , estimator , statistics , mean squared error , reliability (semiconductor) , maximum likelihood , m estimator , shape parameter , scale parameter , square (algebra) , geometry , power (physics) , physics , quantum mechanics
This paper discusses reliability of the stress-strength model. The reliability functions ð‘…1 and ð‘…2 were obtained for a component which has an independent strength and is exposed to two and three stresses, respectively. We used the generalized inverted Kumaraswamy distribution GIKD with unknown shape parameter as well as known shape and scale parameters. The parameters were estimated from the stress- strength models, while the reliabilities ð‘…1, ð‘…2 were estimated by three methods, namely the Maximum Likelihood, Least Square, and Regression.
A numerical simulation study a comparison between the three estimators by mean square error is performed. It is found that best estimator between the three estimators is Maximum likelihood estimators.