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

Author

Listed:
  • Hisham M. Almongy
  • Ehab M. Almetwally
  • Randa Alharbi
  • Dalia Alnagar
  • E. H. Hafez
  • Marwa M. Mohie El-Din
  • Ahmed Mostafa Khalil

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.

Suggested Citation

  • Hisham M. Almongy & Ehab M. Almetwally & Randa Alharbi & Dalia Alnagar & E. H. Hafez & Marwa M. Mohie El-Din & Ahmed Mostafa Khalil, 2021. "The Weibull Generalized Exponential Distribution with Censored Sample: Estimation and Application on Real Data," Complexity, Hindawi, vol. 2021, pages 1-15, February.
    • Handle: RePEc:hin:complx:6653534
    DOI: 10.1155/2021/6653534
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    Cited by:

    1. Elisângela C. Biazatti & Gauss M. Cordeiro & Gabriela M. Rodrigues & Edwin M. M. Ortega & Luís H. de Santana, 2022. "A Weibull-Beta Prime Distribution to Model COVID-19 Data with the Presence of Covariates and Censored Data," Stats, MDPI, vol. 5(4), pages 1-15, November.
    2. Juan Baz & Diego García-Zamora & Irene Díaz & Susana Montes & Luis Martínez, 2024. "Flexible-dimensional L-statistic for mean estimation of symmetric distributions," Statistical Papers, Springer, vol. 65(7), pages 4001-4024, September.
    3. Naif Alotaibi & Ibrahim Elbatal & Ehab M. Almetwally & Salem A. Alyami & A. S. Al-Moisheer & Mohammed Elgarhy, 2022. "Truncated Cauchy Power Weibull-G Class of Distributions: Bayesian and Non-Bayesian Inference Modelling for COVID-19 and Carbon Fiber Data," Mathematics, MDPI, vol. 10(9), pages 1-25, May.
    4. Refah Alotaibi & Ehab M. Almetwally & Qiuchen Hai & Hoda Rezk, 2022. "Optimal Test Plan of Step Stress Partially Accelerated Life Testing for Alpha Power Inverse Weibull Distribution under Adaptive Progressive Hybrid Censored Data and Different Loss Functions," Mathematics, MDPI, vol. 10(24), pages 1-24, December.
    5. O. E. Abo-Kasem & Ehab M. Almetwally & Wael S. Abu El Azm, 2023. "Inferential Survival Analysis for Inverted NH Distribution Under Adaptive Progressive Hybrid Censoring with Application of Transformer Insulation," Annals of Data Science, Springer, vol. 10(5), pages 1237-1284, October.

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