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

Autor:	Bander Al-Zahrani, Areej M. AL-Zaydi
Rok vydání:	2021
Předmět:	Distribution (mathematics) Recurrence relation Strategy and Management Order statistic Inference Applied mathematics Estimator Scale (descriptive set theory) Geometric distribution Safety Risk Reliability and Quality Mathematics Exponential function
Zdroj:	International Journal of System Assurance Engineering and Management. 13:1052-1065
ISSN:	0976-4348 0975-6809
DOI:	10.1007/s13198-021-01384-5
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::7461841d2679ba94c24dffa888c79b7e https://doi.org/10.1007/s13198-021-01384-5 Zobrazit plný text záznamu Full text from SpringerLink