Statistical Inference of NH Distribution under Joint Type-I Hybrid Censoring Scheme

Authors

Hassan M. Aljohani, Department of Mathematics & Statistics, Faculty of Science, Taif University, Taif, 21944, Saudi ArabiaFollow

Author Country (or Countries)

Saudi Arabia

Abstract

In this paper, we adopted a new insight of testing for Nadarajaha and Haghighi (NH) lifetime products under Type-I hybrid censoring scheme. Hence, NH is an expansion of the exponential distribution, and it provides a more reasonable estimate than the generalized exponential, Weibull, and the gamma distributions, particularly when the observations contain zero values. We built this model and preset some statistical inferences of the model parameters with classical and Bayes methods under different types of loss functions using gamma priors for NH distribution parameters. Next, we consider the point and asymptotic confidence interval estimators with maximum likelihood, and the Bayes estimators are discussed. The joint lifetime data is analyzed for illustration purposes. The Monte Carlo simulation study is built to stand on accuracy of these estimators.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/150210

Recommended Citation

M. Aljohani, Hassan (2021) "Statistical Inference of NH Distribution under Joint Type-I Hybrid Censoring Scheme," Applied Mathematics & Information Sciences: Vol. 15: Iss. 2, Article 10.
DOI: http://dx.doi.org/10.18576/amis/150210
Available at: https://digitalcommons.aaru.edu.jo/amis/vol15/iss2/10