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A Modified Chi-square Type Test for Distributional Validity with Applications to Right Censored Reliability and Medical Data

Author(s)
Haitham M. Yousof Department of Statistics, Mathematics and Insurance, Faculty of Commerce, Benha University, Benha 13518, Egypt
Abdullah H. Al-nefaie Quantitative Methods Department, School of Business, King Faisal University
Khaoula Aidi Laboratory of probability and statistics LaPS, University Badji Mokhtar, Annaba, Algeria
M. Masoom Ali Department of Mathematical Sciences Ball State University, Muncie, Indiana 47306 USA
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.
Publication Details
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

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Keywords
Simulation, Goodness-of-fit Test, Right Censored Validation, Barzilai-Borwein, Bagdonavicius-Nikulin
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