Estimating the Reliability Function of (2+1) Cascade Model

Authors

Ahmed H. Khaleel, Department of Statistics, College of Administration & Economics, University of Sumer, Dhi Qar, IraqFollow
Nada S. Karam, Department of Mathematics, College of Education, Al-Mustansiriyah University, Baghdad, Iraq

Abstract

This paper discusses reliability R of the (2+1) Cascade model of inverse Weibull distribution. Reliability is to be found when strength-stress distributed is inverse Weibull random variables with unknown scale parameter and known shape parameter. Six estimation methods (Maximum likelihood, Moment, Least Square, Weighted Least Square, Regression and Percentile) are used to estimate reliability. There is a comparison between six different estimation methods by the simulation study by MATLAB 2016, using two statistical criteria Mean square error and Mean Absolute Percentage Error, where it is found that best estimator between the six estimators is Maximum likelihood estimation method.

Keywords

Attenuation factor, Least Square, Scale parameter, Simulation, Strength-Stress

Article Type

Article

How to Cite this Article

H. Khaleel, Ahmed and S. Karam, Nada (2019) "Estimating the Reliability Function of (2+1) Cascade Model," Baghdad Science Journal: Vol. 16: Iss. 2, Article 13.
DOI: https://doi.org/10.21123/bsj.2019.16.2.0395