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On the mean residual waiting time of records

Author

Listed:
  • Bdair Omar M.

    (Al-Balqa Applied University, Faculty of Engineering Technology, Amman 11134, Jordanien)

  • Raqab Mohammad Z.

Abstract

In this paper, we examine the mean residual waiting time of record values from a sequence of identically independent random variables with a common continuous distribution F. Under the condition that the (m+1)-st shock has not arrived by time t>0, we obtain a simplified expression for the mean residual waiting time of the (n+1)-st shock. We investigate some monotonicity and aging properties for the mean residual waiting time of records. Further, it is shown that the underlying distribution function F can be recovered via the functional relationships between the mean residual waiting times of records.

Suggested Citation

  • Bdair Omar M. & Raqab Mohammad Z., 2009. "On the mean residual waiting time of records," Statistics & Risk Modeling, De Gruyter, vol. 27(3), pages 249-260, December.
    • Handle: RePEc:bpj:strimo:v:27:y:2009:i:3:p:249-260:n:3
    DOI: 10.1524/stnd.2009.1050
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    References listed on IDEAS

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    1. Khaledi, Baha-Eldin & Shojaei, Roohollah, 2007. "On stochastic orderings between residual record values," Statistics & Probability Letters, Elsevier, vol. 77(13), pages 1467-1472, July.
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