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Residual and Past Entropy for Concomitants of Ordered Random Variables of Morgenstern Family

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  • M. M. Mohie EL-Din
  • M. M. Amein
  • Nahed S. A. Ali
  • M. S. Mohamed

Abstract

For a system, which is observed at time t , the residual and past entropies measure the uncertainty about the remaining and the past life of the distribution, respectively. In this paper, we have presented the residual and past entropy of Morgenstern family based on the concomitants of the different types of generalized order statistics (gos) and give the linear transformation of such model. Characterization results for these dynamic entropies for concomitants of ordered random variables have been considered.

Suggested Citation

  • M. M. Mohie EL-Din & M. M. Amein & Nahed S. A. Ali & M. S. Mohamed, 2015. "Residual and Past Entropy for Concomitants of Ordered Random Variables of Morgenstern Family," Journal of Probability and Statistics, Hindawi, vol. 2015, pages 1-6, September.
    • Handle: RePEc:hin:jnljps:159710
    DOI: 10.1155/2015/159710
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