Current k-records and their use in distribution-free confidence intervals

In a sequence of independent and identically distributed (iid) random variables, the kth largest (smallest) observation in a partial sample is well-known as the upper (lower) k-record value, when its value is greater (smaller) than the corresponding observation in the previous partial sample. In this paper, we consider the k-record statistics at the time when the nth k-record of any kind (either an upper or lower) is observed, termed as current …