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Translation, contraction and dilation of dual generalized order statistics

Author

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  • Shah, Imtiyaz A.
  • Khan, A.H.
  • Barakat, H.M.

Abstract

A general class of distributions has been characterized through translation of two non-adjacent dual generalized order statistics (dgos). Moreover, the characterizing results are obtained for generalized Pareto distribution through dilation of dgos and generalized power function distribution through contraction of non-adjacent generalized order statistics.

Suggested Citation

  • Shah, Imtiyaz A. & Khan, A.H. & Barakat, H.M., 2015. "Translation, contraction and dilation of dual generalized order statistics," Statistics & Probability Letters, Elsevier, vol. 107(C), pages 131-135.
    • Handle: RePEc:eee:stapro:v:107:y:2015:i:c:p:131-135
    DOI: 10.1016/j.spl.2015.08.015
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    References listed on IDEAS

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    1. 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.
    2. Jacek WesoŁowski & Mohammad Ahsanullah, 2004. "Switching Order Statistics through Random Power Contractions," Australian & New Zealand Journal of Statistics, Australian Statistical Publishing Association Inc., vol. 46(2), pages 297-303, June.
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    Cited by:

    1. Shah, Imtiyaz A. & Barakat, H.M. & Khan, A.H., 2020. "Characterizations through generalized and dual generalized order statistics, with an application to statistical prediction problem," Statistics & Probability Letters, Elsevier, vol. 163(C).

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