The parameter estimation and reliability function for three systems stress - strength model of weibull-exponential {rayleigh} distribution | [Pakistan Journal of Statistics • 2024]

Author(s):

1. Feras Sh. M. Batah: Mathematical Department, Education College for Pure Science, Anbar University,Anbar,Iraq

2. B. M. Golam Kibria: Mathematical Department and Statistics Florida International University,Miami,USA

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.

Page(s): 123-136

DOI: DOI not available

Published: Journal: Pakistan Journal of Statistics, Volume: 40, Issue: 1, Year: 2024

Keywords:

MLE , Single reliability , StressStrength model , MOM , Weibullexponential Rayleigh , Parallel reliability , Series reliability , Estimation method

References:

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