On Estimation of  P(Y_1

Bsma Abdul  Hameed; Abbas N.  Salman; Bayda Atiya Kalaf

doi:10.24996/ijs.2020.61.4.18

Authors

Bsma Abdul Hameed Department of Mathematics, College of Education for Pure Sciences, Ibn Al â€“ Haitham, University of Baghdad Iraq, Baghdad, Iraq
Abbas N. Salman Department of Mathematics, College of Education for Pure Sciences, Ibn Al â€“ Haitham, University of Baghdad Iraq, Baghdad, Iraq
Bayda Atiya Kalaf Department of Mathematics, College of Education for Pure Sciences, Ibn Al â€“ Haitham, University of Baghdad Iraq, Baghdad, Iraq

DOI:

https://doi.org/10.24996/ijs.2020.61.4.18

Keywords:

Inverted Kumaraswamy distribution, Stress Strength reliability, Maximum likelihood estimator, Moment estimator, Shrinkage estimator

Abstract

This paper deals with the estimation of the stress strength reliability for a component which has a strength that is independent on opposite lower and upper bound stresses, when the stresses and strength follow Inverse Kumaraswamy Distribution. D estimation approaches were applied, namely the maximum likelihood, moment, and shrinkage methods. Monte Carlo simulation experiments were performed to compare the estimation methods based on the mean squared error criteria.