The Weibull Generalized Exponential Distribution with Censored Sample: Estimation and Application on Real Data-Reference-Cited by-同舟云学术

The Weibull Generalized Exponential Distribution with Censored Sample: Estimation and Application on Real Data

Published:2021-02-26 Issue: Volume:2021 Page:1-15
ISSN:1099-0526
Container-title:Complexity
language:en
Short-container-title:Complexity

Author:

Almongy Hisham M.¹^ORCID,Almetwally Ehab M.²^ORCID,Alharbi Randa³^ORCID,Alnagar Dalia³^ORCID,Hafez E. H.⁴^ORCID,Mohie El-Din Marwa M.⁵^ORCID

Affiliation:

1. Applied Statistics and Insurance Department, Faculty of Commerce, Mansoura University, Mansoura, Egypt

2. Statistics Department, Faculty of Business Administration, Delta University of Science and Technology, Mansoura, Egypt

3. Statistics Department, University of Tabuk, Tabuk, Saudi Arabia

4. Mathematics Department, Faculty of Science, Helwan University, Cairo, Egypt

5. Mathematical and Natural Sciences Department, Faculty of Engineering, Egyptian Russian University, Badr, Egypt

Abstract

This paper is concerned with the estimation of the Weibull generalized exponential distribution (WGED) parameters based on the adaptive Type-II progressive (ATIIP) censored sample. Maximum likelihood estimation (MLE), maximum product spacing (MPS), and Bayesian estimation based on Markov chain Monte Carlo (MCMC) methods have been determined to find the best estimation method. The Monte Carlo simulation is used to compare the three methods of estimation based on the ATIIP-censored sample, and also, we made a bootstrap confidence interval estimation. We will analyze data related to the distribution about single carbon fiber and electrical data as real data cases to show how the schemes work in practice.

Publisher

Hindawi Limited

Subject

Multidisciplinary,General Computer Science

Link

http://downloads.hindawi.com/journals/complexity/2021/6653534.pdf

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