Progressive Type-II Censoring Ailamujia distribution Under Binomial Removals with Data Analysis

Authors

Mahmoud M. Smadi, Department of Mathematics and Statistics, Jordan University of Science and Technology, Irbid, 22110, JordanFollow

Author Country (or Countries)

Jordan

Abstract

Ailamujia distribution is a useful lifetime model for several engineering applications. The Ailamujia distribution is a versatile distribution to model the repair time and guarantee the distribution delay time. This study considers the estimation problem for Ailamujia distribution based on progressive Type-II censoring with Binomial removals. The maximum likelihood estimators (MLE’s) for the model parameters were derived along with the asymptotic confidence intervals. A simulation study was performed using different values of sample sizes, parameters, and different number of removed observations to investigate the behavior of the estimators. A real life time data set was analyzed using progressive Type-II Ailamujia distribution and showed appropriate results.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/170101

Recommended Citation

M. Smadi, Mahmoud (2023) "Progressive Type-II Censoring Ailamujia distribution Under Binomial Removals with Data Analysis," Applied Mathematics & Information Sciences: Vol. 17: Iss. 1, Article 1.
DOI: http://dx.doi.org/10.18576/amis/170101
Available at: https://digitalcommons.aaru.edu.jo/amis/vol17/iss1/1