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On moments of dual generalized order statistics from Topp-Leone distribution

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  • M. J. S. Khan
  • S. Iqrar

Abstract

In this paper, we have derived exact and explicit expressions for the ratio and inverse moments of dual generalized order statistics from Topp-Leone distribution. This result includes the single and product moments of order statistics and lower records . Further, based on n dual generalized order statistics, we have deduced the expression for Maximum likelihood estimator (MLE) and Uniformly minimum variance unbiased estimator (UMVUE) for the shape parameter of Topp-Leone distribution. Finally, based on order statistics and lower records, a simulation study is being carried out to check the efficiency of these estimators.

Suggested Citation

  • M. J. S. Khan & S. Iqrar, 2019. "On moments of dual generalized order statistics from Topp-Leone distribution," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 48(3), pages 479-492, February.
  • Handle: RePEc:taf:lstaxx:v:48:y:2019:i:3:p:479-492
    DOI: 10.1080/03610926.2017.1414260
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    Cited by:

    1. M. J. S. Khan & Farhan Ansari & Qazi J. Azhad & Naresh Chandra Kabdwal, 2024. "Moments and inferences of inverted topp-leone distribution based on record values," 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. 15(6), pages 2623-2633, June.

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