Moments of progressively type-II censored order statistics from the complementary exponential geometric distribution and associated inference

Bander Al-Zahrani () and Areej M. AL-Zaydi
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Bander Al-Zahrani: King Abdulaziz University
Areej M. AL-Zaydi: Taif University

International Journal of System Assurance Engineering and Management, 2022, vol. 13, issue 3, No 2, 1052-1065

Abstract: Abstract In this article, we establish some recurrence relations for both single and product moments of progressively Type-II right censored order statistics from the complementary exponential-geometric distribution. For a particular case, these relations are reduced to the corresponding results for the usual order statistics due to Balakrishnan et al. (J Stat Comput Simul 85(11): 2187–2201, 2015). Then we use these moments to obtain the best linear unbiased estimators of the scale and location-scale parameters of the complementary exponential-geometric distribution based on progressively Type-II right censored samples. Further, we discuss the best linear unbiased predictors of future failure times. Finally, an example is presented to show the application of our results.

Keywords: Best linear unbiased estimators; Best linear unbiased predictors; Complementary exponential-geometric distribution; Single moments; Product moments; Recurrence relations (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s13198-021-01384-5

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