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On distributions of exceedances associated with order statistics and record values for arbitrary distributions

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Abstract

Exceedance statistics associated with the order statistics and record values for the generalized Bernoulli model are investigated for the case of an arbitrary underlying distribution. Distributions of these statistics are studied. Also the distribution of the second record value is obtained when the underlying distribution function contains atoms.

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Authors and Affiliations

  1. Faculty of Science, Department of Statistics, Ankara University, 06100, Tandogan, Ankara, Turkey

    Ismihan G. Bairamov

  2. Department of Engineering Management and System Engineering, The George Washington University, 20052, Washington, DC, USA

    Samuel Kotz

Authors
  1. Ismihan G. Bairamov
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  2. Samuel Kotz
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Bairamov, I.G., Kotz, S. On distributions of exceedances associated with order statistics and record values for arbitrary distributions. Statistical Papers 42, 171–185 (2001). https://doi.org/10.1007/s003620100049

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  • DOI: https://doi.org/10.1007/s003620100049

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