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.

cited authors

  • Batah, FSM; Kibria, BMG

authors

abstract

  • 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.

publication date

  • January 1, 2024

published in

start page

  • 123

end page

  • 136

volume

  • 40

issue

  • 1