Asymptotic properties of mth spacings based on records

Ismihan Bayramoglu and Alexei Stepanov

Statistics & Probability Letters, 2024, vol. 208, issue C

Abstract: In this work, the mth spacings based on record values obtained from continuous distributions are discussed. We first present distributional results for such spacings, and then, by making use of classification of distribution tails, derive asymptotic results for the mth record spacings. We also obtain strong limit results for them and illustrate our theoretical results by examples. Finally, we support our findings by data obtained from simulation experiments.

Keywords: Records; mth record spacings; Limit results; Simulation techniques (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1016/j.spl.2024.110052

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