On numbers of observations in random regions determined by records for tail-less populations

Anna Dembińska, Masoumeh Akbari and Jafar Ahmadi

Statistics & Probability Letters, 2021, vol. 179, issue C

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 (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1016/j.spl.2021.109213

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