A Modified Chi-square Type Test for Distributional Validity with Applications to Right Censored Reliability and Medical Data | [Pakistan Journal of Statistics and Operation Research • 2021]

Author(s):

1. Haitham M. Yousof: Department of Statistics, Mathematics and Insurance, Faculty of Commerce, Benha University, Benha 13518, Egypt

2. Abdullah H. Al-nefaie: Quantitative Methods Department, School of Business, King Faisal University

3. Khaoula Aidi: Laboratory of probability and statistics LaPS, University Badji Mokhtar, Annaba, Algeria

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

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

Abstract:

In this paper, a modified Chi-square goodness-of-fit test called the modified Bagdonavicius-Nikulin goodness-offit test statistic is investigated and the applied for distributional validation under the right censored case. The new modified goodness-of-fit test is presented and applied for the right censored data sets. The algorithm of the censored Barzilai-Borwein is employed via a comprehensive simulation study for assessing validity of the new test. The modified Bagdonavicius-Nikulin test is applied to four real and right censored data sets. A new distribution is compared with many other competitive distributions under the new modified Bagdonavicius-Nikulin goodness-offit test statistic.

Page(s): 1113-1121

DOI: 10.18187/pjsor.v17i4.3899

Published: Journal: Pakistan Journal of Statistics and Operation Research, Volume: 17, Issue: 4, Year: 2021

Keywords:

Simulation , Goodnessoffit Test , Right Censored Validation , BarzilaiBorwein , BagdonaviciusNikulin

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