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

Author

Listed:
  • Bander Al-Zahrani

    (King Abdulaziz University)

  • Areej M. AL-Zaydi

    (Taif University)

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.

Suggested Citation

  • Bander Al-Zahrani & Areej M. AL-Zaydi, 2022. "Moments of progressively type-II censored order statistics from the complementary exponential geometric distribution and associated inference," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 13(3), pages 1052-1065, June.
    • Handle: RePEc:spr:ijsaem:v:13:y:2022:i:3:d:10.1007_s13198-021-01384-5
    DOI: 10.1007/s13198-021-01384-5
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    References listed on IDEAS

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    1. N. Balakrishnan & Xiaojun Zhu & Bander Al-Zahrani, 2015. "A Recursive Algorithm For the Single and Product Moments of Order Statistics From the Exponential-geometric Distribution and Some Estimation Methods," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 44(17), pages 3576-3598, September.
    2. Mansoor Rashid Malik & Devendra Kumar, 2017. "Relations For Moments Of Progressively Type-Ii Right Censored Order Statistics From Erlang-Truncated Exponential Distribution," Statistics in Transition New Series, Polish Statistical Association, vol. 18(4), pages 651-668, December.
    3. N. Balakrishnan, 2007. "Progressive censoring methodology: an appraisal," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 16(2), pages 211-259, August.
    4. Adamidis, K. & Loukas, S., 1998. "A lifetime distribution with decreasing failure rate," Statistics & Probability Letters, Elsevier, vol. 39(1), pages 35-42, July.
    5. Balakrishnan, N. & Saleh, H.M., 2011. "Relations for moments of progressively Type-II censored order statistics from half-logistic distribution with applications to inference," Computational Statistics & Data Analysis, Elsevier, vol. 55(10), pages 2775-2792, October.
    6. N. Balakrishnan, 2007. "Rejoinder on: Progressive censoring methodology: an appraisal," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 16(2), pages 290-296, August.
    7. Louzada, Francisco & Roman, Mari & Cancho, Vicente G., 2011. "The complementary exponential geometric distribution: Model, properties, and a comparison with its counterpart," Computational Statistics & Data Analysis, Elsevier, vol. 55(8), pages 2516-2524, August.
    8. Adamidis, Konstantinos & Dimitrakopoulou, Theodora & Loukas, Sotirios, 2005. "On an extension of the exponential-geometric distribution," Statistics & Probability Letters, Elsevier, vol. 73(3), pages 259-269, July.
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