Abstract
Various record achievements are recorded in a number of areas of human activity. In this case, some discretization of the obtained observation results repeatedly occurs with varying accuracy (up to a second, up to a meter, and up to a thousand individuals). Using exponential and geometric distributions as an example, we show how such a transition from continuous to discrete probability distributions changes the number of record values in the corresponding sequences of random variables.
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Funding
This work is supported by the Russian Foundation for Basic Research, project no. 18-01-00393.
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Translated by A. Ivanov
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Ananjevskii, S.M., Nevzorov, V.B. On Some Relations Linking Exponential and Geometrical Record Random Variables. Vestnik St.Petersb. Univ.Math. 54, 1–7 (2021). https://doi.org/10.1134/S1063454121010039
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DOI: https://doi.org/10.1134/S1063454121010039