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A Journal of Theoretical and Applied Statistics
Volume 55, 2021 - Issue 5
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Research Article

Asymptotic properties of the uppermost and the lowest mth exponential spacings based on records

Alexandre Berreda UFR des Sciences et Techniques, Université du Havre Normandie, Le Havre Cedex, FranceCorrespondence[email protected]
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&
Alexei Stepanovb Institute of Physics, Mathematics and Information Technology, Immanuel Kant Baltic Federal University, Kaliningrad, RussiaView further author information
Pages 1094-1106 | Received 22 Mar 2021, Accepted 11 Oct 2021, Published online: 25 Oct 2021
 
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Abstract

In this work, we investigate the mth exponential spacings based on record values. We derive weak and strong limit results for the uppermost and the lowest mth exponential record spacings.

AMS 2000 Subject Classifications:

Acknowledgments

The authors are grateful to the anonymous reviewers for their careful reading of the manuscript and their useful comments and suggestions.

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

The work of the second author was supported by the Ministry of Science and Higher Education of the Russian Federation (agreement no. 075-02-2021-1748).

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