Progressive First-Failure Censored Samples in Estimation and Prediction of NH Distribution

Authors

N. A. Abou-Elheggag, Mathematics Department, Faculty of Science, Sohag University, Sohag, EgyptFollow
AL-Wageh A.Farghal, Mathematics Department, Faculty of Science, Sohag University, Sohag, EgyptFollow
G. A. Abd-Elmougod, Mathematics Department, Faculty of Science, Damanhour University, Damanhour, EgyptFollow
Osama M. Taha, Mathematics Department, Faculty of Science, Sohag University, Sohag, EgyptFollow

Abstract

In this paper, we adopt the problem of estimation and prediction for Nadarajah and Haghighi (NH) distribution under the progressive first-failure censoring scheme. The obtained results can be specialized to the first-failure, progressive type-II, type-II, and complete data. The estimation results are formulated with maximum likelihood (ML) and Bayes methods of the unknown model parameters. The approximate confidence interval as well as Bayes highest posterior density (HPD) intervals are constructed with the help of MCMC method. Furthermore, two sample point and interval prediction of the sets of order and record samples are constructed. The estimation results are assessed and compared with the Monte Carlo study. The set of data are analyzed for illustration purposes. Finally, some brief comments are summarized.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/jsap/110115

Recommended Citation

A. Abou-Elheggag, N.; A.Farghal, AL-Wageh; A. Abd-Elmougod, G.; and M. Taha, Osama (2022) "Progressive First-Failure Censored Samples in Estimation and Prediction of NH Distribution," Journal of Statistics Applications & Probability: Vol. 11: Iss. 1, Article 15.
DOI: http://dx.doi.org/10.18576/jsap/110115
Available at: https://digitalcommons.aaru.edu.jo/jsap/vol11/iss1/15