The Weibull Generalized Exponential Distribution with Censored Sample: Estimation and Application on Real Data. (26th February 2021)

• Record Type: Journal Article
• Authors: Almongy, Hisham M.; Almetwally, Ehab M.; Alharbi, Randa; Alnagar, Dalia; Hafez, E. H.; Mohie El-Din, Marwa M.
• Other Names: Khalil Ahmed Mostafa Academic Editor.
• Is Part Of: Complexity. Volume 2021(2021)
• Publication Date: 2021-02-26
• Subjects: Chaotic behavior in systems -- Periodicals; Complexity (Philosophy) -- Periodicals; 003
• DOI: 10.1155/2021/6653534
• Languages: English
• ISSNs: 1076-2787

Abstract

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.