The aim of this paper is to investigate the entropy properties of current records. Several characterizations are obtained based on the entropy of these statistics. It is proved that the equality of the entropy of the endpoints of record coverage...

n this paper‎, ‎we discuss the prediction of $k$-records from the future sequence based on observed current records of either kind upper or lower‎, ‎record coverage and $k$-records from the same distribution‎. ‎It is shown that the coverage...

Center, are used to

illustrate all the results developed in this paper and also to demonstrate the improvements that they provide

on those based on either the usual records or the current records....

. These statistics are referred to

as current upper and lower records, respectively, in the statistical literature. We derive

expressions for the Pitman closeness of current records to a common population parameter

and then apply these results...

In this paper, based on the largest and smallest observations at the times when a new record

of either kind (upper or lower) occurs, we discuss the prediction of future order statistics.

The proposed prediction ...