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A Modified Chi-square Type Test Statistic for the Double Burr X Model with Applications to Right Censored Medical and Reliability Data
Author(s):
1. Khaoula Aidi: Laboratory of probability and statistics LaPS, University Badji Mokhtar, Annaba, Algeria
2. Nadeem S. Butt: Department of Family and Community Medicine, Faculty of Medicine Rabigh, King Abdulaziz University, Jeddah, Kingdom of, Saudi Arabia
3. M. Masoom Ali: Department of Mathematical Sciences, Ball State University, Muncie, Indiana 47306, USA
4. Mohamed Ibrahim: Department of Applied, Mathematical and Actuarial Statistics, Faculty of Commerce, Damietta University, Damietta, Egypt
5. Haitham M. Yousof: Department of Statistics, Mathematics and Insurance, Benha University, Benha 13518, Egypt
6. 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.
Page(s): 615-623
Published: Journal: Pakistan Journal of Statistics and Operation Research, Volume: 17, Issue: 3, Year: 2021
Keywords:
Simulation , Double Burr type X , Right Censored Validation , BarzilaiBorwein , BagdonaviciusNikulin , Goodnessoffit Test
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