On Estimation of P(Y_1<X<Y_2 ) in Cased Inverse Kumaraswamy Distribution

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

Published
2020-04-26
How to Cite
Hameed, B. A., Salman, A. N., & Kalaf, B. A. (2020). On Estimation of P(Y_1<X&lt;Y_2 ) in Cased Inverse Kumaraswamy Distribution. Iraqi Journal of Science, 61(4), 845-853. https://doi.org/10.24996/ijs.2020.61.4.18
Section
Mathematics