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

Hisham M. Almongy; Ehab M. Almetwally; Randa Alharbi; Dalia Alnagar; E. H. Hafez; Marwa M. Mohie El-Din

doi:10.1155/2021/6653534

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

Hisham M. Almongy, Ehab M. Almetwally, Randa Alharbi, Dalia Alnagar, E. H. Hafez, Marwa M. Mohie El-Din

Research output: Contribution to journal › Article › peer-review

34 Scopus citations

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.

Original language	English
Article number	6653534
Journal	Complexity
Volume	2021
DOIs	https://doi.org/10.1155/2021/6653534
State	Published - 2021
Externally published	Yes

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title = "The Weibull Generalized Exponential Distribution with Censored Sample: Estimation and Application on Real Data",

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.",

author = "Almongy, \{Hisham M.\} and Almetwally, \{Ehab M.\} and Randa Alharbi and Dalia Alnagar and Hafez, \{E. H.\} and \{Mohie El-Din\}, \{Marwa M.\}",

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doi = "10.1155/2021/6653534",

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AU - Almongy, Hisham M.

AU - Almetwally, Ehab M.

AU - Alharbi, Randa

AU - Alnagar, Dalia

AU - Hafez, E. H.

AU - Mohie El-Din, Marwa M.

PY - 2021

Y1 - 2021

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AB - 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.

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VL - 2021

JO - Complexity

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

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