Relations for moments of progressively Type-II censored order statistics from the exponential-geometric distribution and associated inference. Issue 5 (4th May 2023)

• Record Type: Journal Article
• Authors: Al-Zahrani, Bander; AL-Zaydi, Areej M.
• Is Part Of: Communications in statistics. Volume 52:Issue 5(2023)
• Page Start: 2151
• Page End: 2166
• Publication Date: 2023-05-04
• Subjects: Progressively Type-II right censored order statistics -- Single moments -- Product moments -- Recurrence relations -- Exponential-geometric distribution -- Best linear unbiased estimators -- Best linear unbiased predictors; Mathematical statistics -- Periodicals; Mathematical statistics -- Data processing -- Periodicals; Digital computer simulation -- Periodicals; 519.5
• DOI: 10.1080/03610918.2021.1898640
• Languages: English
• ISSNs: 0361-0918

Abstract

Abstract: In this paper, we derive the recurrence relations for the single and product moments of progressively Type-II right censored order statistics from the exponential-geometric distribution. For a particular case, these results are reduced to the corresponding results for the usual order statistics. Next, we use these moments to obtain the best linear unbiased estimators of the scale and location-scale parameters of the exponential-geometric distribution based on progressively Type-II right censored samples. The best linear unbiased predictors of future failure times are then discussed. Finally, an illustrative example is presented.