Evaluation of Some Methods for Estimating the Weibull Distribution Parameters

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Muthanna Journal of Pure Sciences – MJPS

VOL. 4 – NO. 2 / 2017

J. A. Labban1,*, H. H. Depheal2

1Department of Statistics and Informatics, University of Al-Qadisiyah, Al-Qadisiyah, Iraq

Received: 30-7-2017, Accepted: 5-10-2017, Published: 19-10-2017
DOI: 10.52113/2/04.02.2017/8-14

 

Abstract

This paper some of different methods to estimate the parameters of the 2-Paramaters Weibull distribution such as (Maximum likelihood Estimation, Moments, Least Squares, Term Omission). Mean square error will be considered to compare methods fits in case to select the best one. There by simulation will be implemented to generate different random sample of the 2-parameters Weibull distribution, those contain (n=10, 50, 100, 200) iteration each 1000 times.

Keywords: Maximum likelihood estimation, Method of moments, least squares method, Mean-standard deviation method, Power density method, Term omission method, Mean squared error.


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