On Progressive Censored Competing Risks Data: Real Data Application and Simulation Study

Abd El-Raheem M. Abd El-Raheem, Mona Hosny and Mahmoud H. Abu-Moussa
Additional contact information
Abd El-Raheem M. Abd El-Raheem: Department of Mathematics, Faculty of Education, Ain Shams University, Cairo 11566, Egypt
Mona Hosny: Department of Mathematics, College of Science for Girls, King Khalid University, Abha 61413, Saudi Arabia
Mahmoud H. Abu-Moussa: Department of Mathematics, Faculty of Science, Cairo University, Giza 12613, Egypt

Mathematics, 2021, vol. 9, issue 15, 1-17

Abstract: Competing risks are frequently overlooked, and the event of interest is analyzed with conventional statistical techniques. In this article, we consider the analysis of bi-causes of failure in the context of competing risk models using the extension of the exponential distribution under progressive Type-II censoring. Maximum likelihood estimates for the unknown parameters via the expectation-maximization algorithm are obtained. Moreover, the Bayes estimates of the unknown parameters are approximated using Tierney-Kadane and MCMC techniques. Interval estimates using Bayesian and classical techniques are also considered. Two real data sets are investigated to illustrate the different estimation methods, and to compare the suggested model with Weibull distribution. Furthermore, the estimation methods are compared through a comprehensive simulation study.

Keywords: extension of exponential distribution; Bayes estimation; competing risks; EM algorithm; progressive censoring; simulation study; Tierney-Kadane approximation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
https://www.mdpi.com/2227-7390/9/15/1805/pdf (application/pdf)
https://www.mdpi.com/2227-7390/9/15/1805/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:9:y:2021:i:15:p:1805-:d:605823

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().