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Moments of Dual Generalized Order Statistics from Topp Leone Weighted Weibull Distribution and Characterization

Author

Listed:
  • B. Singh

    (Aligarh Muslim University)

  • R. U. Khan

    (Aligarh Muslim University)

  • A. N. Khan

    (Aligarh Muslim University)

Abstract

In this paper, we obtain exact explicit expressions as well as several recurrence relations satisfied by single and product moments of dual (lower) generalized order statistics from Topp-Leone weighted Weibull distribution. These relations are deduced for moments of order statistics and lower record values. Further, these recurrence relations and other properties of dual generalized order statistics are used to characterize this distribution.

Suggested Citation

  • B. Singh & R. U. Khan & A. N. Khan, 2022. "Moments of Dual Generalized Order Statistics from Topp Leone Weighted Weibull Distribution and Characterization," Annals of Data Science, Springer, vol. 9(6), pages 1129-1148, December.
    • Handle: RePEc:spr:aodasc:v:9:y:2022:i:6:d:10.1007_s40745-021-00324-1
    DOI: 10.1007/s40745-021-00324-1
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    References listed on IDEAS

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    1. Amal S. Hassan & Said G. Nassr & Sukanta Pramanik & Sudhansu S. Maiti, 2020. "Estimation in Constant Stress Partially Accelerated Life Tests for Weibull Distribution Based on Censored Competing Risks Data," Annals of Data Science, Springer, vol. 7(1), pages 45-62, March.
    2. Amal S. Hassan & Said G. Nassr & Sukanta Pramanik & Sudhansu S. Maiti, 2020. "Correction to: Estimation in Constant Stress Partially Accelerated Life Tests for Weibull Distribution Based on Censored Competing Risks Data," Annals of Data Science, Springer, vol. 7(3), pages 547-547, September.
    3. Marco Burkschat & Erhard Cramer & Udo Kamps, 2003. "Dual generalized order statistics," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(1), pages 13-26.
    4. Gokarna R. Aryal & Keshav P. Pokhrel & Netra Khanal & Chris P. Tsokos, 2019. "Reliability Models Using the Composite Generalizers of Weibull Distribution," Annals of Data Science, Springer, vol. 6(4), pages 807-829, December.
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