Analysis of Progressively Type-I Censored Data in Competing Risks Models with Generalized Inverted Exponential Distribution

Authors

Mahmoud R. Mahmoud, Department of Mathematical Statistics, Faculty of Graduate Studies for Statistical Research, Cairo University, Egypt
Hiba Z. Muhammed
Ahmed R. El-Saeed

Author Country (or Countries)

Egypt

Abstract

This paper presents estimates of the parameters involved in a competing risks model in the presence of progressive type- I censored data. We consider the case when the competing risks have generalized inverted exponential distributions. The maximum likelihood method is used to derive point and asymptotic confidence intervals for the unknown parameters. The relative risks due to each cause of failure are investigated. A real data set is used to illustrate the theoretical results and to assess the performance of relative risk and MLE estimates at different schemes of progressively type-I censored samples under causes of failure that follow the generalized inverted exponential distributions.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/jsap/090110

Recommended Citation

R. Mahmoud, Mahmoud; Z. Muhammed, Hiba; and R. El-Saeed, Ahmed (2020) "Analysis of Progressively Type-I Censored Data in Competing Risks Models with Generalized Inverted Exponential Distribution," Journal of Statistics Applications & Probability: Vol. 9: Iss. 1, Article 10.
DOI: http://dx.doi.org/10.18576/jsap/090110
Available at: https://digitalcommons.aaru.edu.jo/jsap/vol9/iss1/10