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On Records in Sequences of Nonidentically Distributed Exponential Random Variables

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  • Published: 01 September 2017
  • Volume 16, pages 284–287, (2017)
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On Records in Sequences of Nonidentically Distributed Exponential Random Variables
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  • M. Ahsanullah1 &
  • V. B. Nevzorov2 
  • 61 Accesses

  • 3 Citations

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Abstract

The representation of record values based on sequences of non-identically distributed exponential random variables in terms of independent exponential summands is suggested.

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References

  1. M. Ahsanullah, Record Statistics (Nova Science Publishers Inc., NY, NY, 1995).

  2. M. Ahsanullah, Record Values. Theory and Applications (University Press of America, Lanham, MD, 2004).

  3. M Ahsanullah and V.B. Nevzorov, Records via Probability Theory (Atlantic Press in Probability and Statistics. Atlantis Press, 2015).

  4. M. Ahsanullah and G.P. Yanev, (2008). Records and Branching Processes (Nova Science Publishers Inc., NY, NY, 2008).

  5. B.C. Arnold, N. Balakrishnan and H.N. Nagaraja, Records (John Wiley & Sons Inc., NY, NY, 1998).

  6. V.B. Nevzorov, Records: Mathematical Theory Translations of Mathematical Monographs, Volume 194 (American Mathematical Society, Providence, RI 2000).

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Authors and Affiliations

  1. Rider University, Lawrenceville, New Jersey, USA

    M. Ahsanullah

  2. St. Petersburg State University, St. Petersburg, Russia

    V. B. Nevzorov

Authors
  1. M. Ahsanullah
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  2. V. B. Nevzorov
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This is an open access article under the CC BY-NC license (https://doi.org/creativecommons.org/licenses/by-nc/4.0/).

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Ahsanullah, M., Nevzorov, V.B. On Records in Sequences of Nonidentically Distributed Exponential Random Variables. J Stat Theory Appl 16, 284–287 (2017). https://doi.org/10.2991/jsta.2017.16.3.1

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  • Received: 01 November 2016

  • Accepted: 01 March 2017

  • Published: 01 September 2017

  • Issue Date: September 2017

  • DOI: https://doi.org/10.2991/jsta.2017.16.3.1

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Key words

  • Record values
  • Record indicators
  • Exponential distributions
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