THE PARAMETER ESTIMATION AND RELIABILITY FUNCTION FOR THREE SYSTEMS STRESS – STRENGTH MODEL OF WEIBULL-EXPONENTIAL {RAYLEIGH} DISTRIBUTION
Article
Batah, FSM, Kibria, BMG. (2024). THE PARAMETER ESTIMATION AND RELIABILITY FUNCTION FOR THREE SYSTEMS STRESS – STRENGTH MODEL OF WEIBULL-EXPONENTIAL {RAYLEIGH} DISTRIBUTION
. PAKISTAN JOURNAL OF STATISTICS, 40(1), 123-136.
Batah, FSM, Kibria, BMG. (2024). THE PARAMETER ESTIMATION AND RELIABILITY FUNCTION FOR THREE SYSTEMS STRESS – STRENGTH MODEL OF WEIBULL-EXPONENTIAL {RAYLEIGH} DISTRIBUTION
. PAKISTAN JOURNAL OF STATISTICS, 40(1), 123-136.
This article investigates the parameters estimation and reliability systems of the stress-strength model, when x and y are independent and follow three parameters Weibull-exponential Rayleigh distribution (WED). Single, parallel, and series systems are derived for WED. The maximum likelihood estimator (MLE), Exact method of moments estimator (EMME), weighted least squares estimator (LSE), and shrinkage function (Shf) estimation methods are examined for its parameters. Different estimators are evaluated using three criteria: bias, mean squared error (MSE), and mean absolute percentage error (MAPE). The best four estimating strategies were compared with a simulation study.