Analysis of Generalized Inverted Exponential Distribution under Adaptive Type-I Progressive Hybrid Censored Competing Risks Data

Authors

Samia A. Salem, Department of Statistics and Insurance, Faculty of Commerce, Zagazig University, Zagazig 44519, EgyptFollow
Osama E. Abo-Kasem, Department of Statistics and Insurance, Faculty of Commerce, Zagazig University, Zagazig 44519, EgyptFollow
Moshera A. Elassar, Department of Statistics and Insurance, Faculty of Commerce, Zagazig University, Zagazig 44519, EgyptFollow

Abstract

The estimation of the unknown parameters of generalized inverted exponential distribution under adaptive type-I progressive hybrid censored scheme (AT-I PHCS) with competing risks data will be discussed. The reason why AT-I PHCS has exceeded other failure censored types; Time censored types enable analysts to accomplish their trials and experiments in a shorter time and with higher efficiency. In this regards, we obtain the maximum likelihood estimation of the parameters and the asymptotic confidence intervals for the unknown parameters. Further, Bayes estimates of the parameters which obtained based on squared error and LINEX loss functions under the assumptions of independent gamma priors of the scale parameters. For Bayesian estimation, we take advantage of Markov Chain Monte Carlo techniques to derive Bayesian estimators and the credible intervals. Finally, two data sets with Monte Carlo simulation study and a real data set are analyzed for illustrative purposes.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/jsap/120112

Recommended Citation

A. Salem, Samia; E. Abo-Kasem, Osama; and A. Elassar, Moshera (2023) "Analysis of Generalized Inverted Exponential Distribution under Adaptive Type-I Progressive Hybrid Censored Competing Risks Data," Journal of Statistics Applications & Probability: Vol. 12: Iss. 1, Article 12.
DOI: http://dx.doi.org/10.18576/jsap/120112
Available at: https://digitalcommons.aaru.edu.jo/jsap/vol12/iss1/12