Document Type : Research Paper

Authors

• A. A. Eman
• Abbas N. Salman

Department of Mathematics, Baghdad University, College of Education for Pure Sciences (Ibn Al--Haitham), Baghdad, Iraq

Abstract

The maximum likelihood estimator employs in this paper to shrinkage estimation procedure for an estimate the system reliability $R$ in the stress-strength model, when the stress and strength are independent and non-identically random variables and they follows the odd Fr\`{e}chet inverse exponential distribution (OFIED). Comparisons among the proposed estimators were presented depend on simulation established on mean squared error (MSE) criteria.

Keywords

• odd Fr`{e}chet inverse exponential distribution
• Reliability Stress--Strength model
• Maximum likelihood estimator
• Shrinkage estimator
• Single Stage Shrunken estimator
• mean squared