No Detail Found!

A Modified Chi-square Type Test Statistic for the Double Burr X Model with Applications to Right Censored Medical and Reliability Data

Author(s)
Khaoula Aidi Laboratory of probability and statistics LaPS, University Badji Mokhtar, Annaba, Algeria
Nadeem S. Butt Department of Family and Community Medicine, Faculty of Medicine Rabigh, King Abdulaziz University, Jeddah, Kingdom of, Saudi Arabia
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
Haitham M. Yousof Department of Statistics, Mathematics and Insurance, Benha University, Benha 13518, Egypt
Wahid A. M. Shehata Department of Mathematics, Statistics and Insurance, Faculty of Business, Ain Shams University, Egypt
Abstract
A new modified version of the Bagdonavicius-Nikulin goodness-of-fit test statistic is presented for validity for the right censor case under the double Burr type X distribution. The maximum likelihood estimation method in censored data case is used and applied. Simulations via the algorithm of Barzilai-Borwein is performed for assessing the right censored estimation method. Another simulation study is presented for testing the null hypothesis under the modified version of the Bagdonavicius and Nikulin goodness-of-fit statistical test. Four right censored data sets are analyzed under the new modified test statistic for checking the distributional validation.
Publication Details
Page(s) 615-623
Published Journal: Pakistan Journal of Statistics and Operation Research, Volume: 17, Issue: 3, Year: 2021

Request the full text from PASTIC

Keywords
Simulation, Double Burr type X, Right Censored Validation, Barzilai-Borwein, Bagdonavicius-Nikulin, Goodness-of-fit Test
0

Citations

0

Downloads

44

Views