Asymptotic behavior of proportions of observations falling to random regions determined by central order statistics

Aneta Augustynowicz

Statistics & Probability Letters, 2020, vol. 162, issue C

Abstract: In this paper, we present a new version of strong ergodic theorem for proportions of observations in a sample falling to a random region determined by a given Borel set and central order statistics. It will be a refinement of a previous result which provides conditions sufficient for the almost sure convergence of such sequence and gives the description of its limit.

Keywords: Central order statistics; Stationary processes; Conditional quantiles; Almost sure convergence; Ergodic theory (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1016/j.spl.2020.108744

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