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Comparison of numbers of records in the sequences of discrete and continuous random variables

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Abstract

Different record achievements are fixed in many domains of human activities. This process very often happens with some rate of digitization (up to seconds, meters, or thousands of individuals) of the observed results. By the examples of exponential and geometrical distributions, it is shown how such a type of the transitions from continuous to discrete distributions may vary the numbers of the record values in the corresponding sequences of the random variables.

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References

  1. B. C. Arnold, N. Balakrishnan, and H. N. Nagaraja, Records (Wiley, New York, 1998).

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  2. K. N. Chandler, “The distribution and frequency of record values,” J. R. Stat. Soc., Ser. B 14, 220–228 (1952).

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  3. V. B. Nevzorov, Records. Mathematical Theory (Fazis, Moscow, 2000; Am. Math. Soc., 2001), In Ser.: Translations of Mathematical Monographs, Vol.194.

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  4. W. Vervaat, “Limit theorems for records from discrete distributions,” Stochastic Process. Appl. 1, 317–334 (1973).

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Authors and Affiliations

  1. St. Petersburg State University, St. Petersburg, 199034, Russia

    V. B. Nevzorov

Authors
  1. V. B. Nevzorov
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Correspondence to V. B. Nevzorov.

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Original Russian Text © V.B. Nevzorov, 2017, published in Vestnik Sankt-Peterburgskogo Universiteta: Matematika, Mekhanika, Astronomiya, 2017, Vol. 62, No. 3, pp. 459–465.

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Nevzorov, V.B. Comparison of numbers of records in the sequences of discrete and continuous random variables. Vestnik St.Petersb. Univ.Math. 50, 282–286 (2017). https://doi.org/10.3103/S1063454117030116

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  • DOI: https://doi.org/10.3103/S1063454117030116

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