The Performance of Estimators for Generalization of Crack Distribution-Reference-Cited by-同舟云学术

The Performance of Estimators for Generalization of Crack Distribution

Published:2021-04-02 Issue: Volume:20 Page:106-111
ISSN:2224-2880
Container-title:WSEAS TRANSACTIONS ON MATHEMATICS
language:en
Short-container-title:

Author:

Mamuangbon Supitcha¹,Budsaba Kamon¹,Volodin Andrei²

Affiliation:

1. Department of Mathematics and Statistics, Thammasat University, Pathum Thani, Thailand

2. Department of Mathematics and Statistics, University of Regina, Saskatchewan, Canada

Abstract

In this research, we propose a new four parameter family of distributions called Generalized Crack distribution. We generalizes the family three parameter Crack distribution. The Generalized Crack distribution is a mixture of two parameter Inverse Gaussian distribution, Length-Biased Inverse Gaussian distribution, Twice Length-Biased Inverse Gaussian distribution, and adding one more weight parameter . It is a special case for , where and is the weighted parameter. We investigate the properties of Generalized Crack distribution including first four moments, parameters estimation by using the maximum likelihood estimators and method of moment estimation. Evaluate the performance of the estimators by using bias. The results of simulation are presented in numerically and graphically.

Publisher

World Scientific and Engineering Academy and Society (WSEAS)

Subject

General Mathematics

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