The Double Burr Type XII Model: Censored and Uncensored Validation Using a New Nikulin-Rao-Robson Goodness-of-Fit Test with Bayesian and Non-Bayesian Estimation Methods | [Pakistan Journal of Statistics and Operation Research • 2022]

Author(s):

1. Mohamed Ibrahim: Department of Applied, Mathematical and Actuarial Statistics, Faculty of Commerce, Damietta University,Damietta,Egypt

2. M. Masoom Ali: Department of Mathematical Sciences Ball State University,Muncie, Indiana 47306,USA

3. Hafida Goual: Laboratory of Probability and Statistics, University of Badji Mokhtar,Annaba,Algeria

4. Haitham M. Yousof: Department of Statistics, Mathematics and Insurance, Benha University,,Egypt

Abstract:

After studying the mathematical properties of the Double Burr XII model, we present Bayesian and non-Bayesian estimation for its unknown parameters. Also, we constructed a new statistical test for goodness-of-fit in case of complete and censored samples. The modified test is developed based on the Nikulin-Rao-Robson statistic for validation. Simulations are performed for assessing the new test along with nine applications on real data.

Page(s): 901-927

DOI: 10.18187/pjsor.v18i4.3600

Published: Journal: Pakistan Journal of Statistics and Operation Research, Volume: 18, Issue: 4, Year: 2022

Keywords:

Bayesian estimation , Shannon entropy , Rényi Entropy , BarzilaiBorwein Algorithm , MCMC , Metropolis Hastings Algorithm , Censoring Data , Validation NikulinRaoRobson

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