Asymptotic Properties of Mth Spacings Based on Records
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Date
2024
Authors
Stepanov, A.
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Publisher
Elsevier B.V.
Open Access Color
Green Open Access
No
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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. © 2024
Description
Keywords
Limit results, mth record spacings, Records, Simulation techniques, Extreme value theory; extremal stochastic processes, records, Order statistics; empirical distribution functions, \(m\)th record spacings, simulation techniques, limit results
Fields of Science
Citation
WoS Q
Q4
Scopus Q
Q3
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N/A
Source
Statistics and Probability Letters
Volume
208
Issue
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Scopus : 0
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1
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