Statistics and Probability Letters, ( ISI ), Volume (179), No (1), Year (2021-12) , Pages (109213-109213-7)

Title : ( On numbers of observations in random regions determined by records for tail-less populations )

Authors: Masoumeh Akbari , Jafar Ahmadi ,

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Abstract

In this paper we study the number of observations that occur between successive record times and fall into a random region determined by a current record value and a given Borel set. We describe the asymptotic behavior of this random number in the case when the population is tail-less.

Keywords

, Records, Near-record observations, Tail-less populations, Limit theorems