On the mean past lifetime of records

In the present paper, we consider the mean past lifetime (MPLR) of record values from a sequence of identically independent random variables with a common continuous distribution F. Under the condition that (n+1)st shock has arrived by time t > 0, we obtain a simplified expression for the mean past lifetime of the (m+1)st shock. We investigate some monotonicity properties, aging properties and characterizations for themean past lifetime of …