On the mean residual waiting time of records

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.