On the mean residual waiting time of records

Bdair Omar M. and Raqab Mohammad Z.
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Bdair Omar M.: Al-Balqa Applied University, Faculty of Engineering Technology, Amman 11134, Jordanien

Statistics & Risk Modeling, 2009, vol. 27, issue 3, 249-260

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.

Keywords: mean residual lifetime; records; hazard rate; mean residual waiting time of records; generalized Pareto distribution (search for similar items in EconPapers)
Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:bpj:strimo:v:27:y:2009:i:3:p:249-260:n:3

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DOI: 10.1524/stnd.2009.1050

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