For a continuous distribution, F, it is well known that the sequence of kth-records is distributed as the sequence of 1st-record from 1-(1-F)k. This note shows that a similar result does not hold if the underlying distribution F is discrete.

In the present paper, the concept of records with confirmation is proposed. This new concept implies that such records cannot be contaminated with sample outliers. On determining records with confirmation, we discuss their distributional and limit properties. A test based on records with...