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Characterizations of probability distributions via bivariate regression of record values

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Abstract

Bairamov et al. (Aust N Z J Stat 47:543–547, 2005) characterize the exponential distribution in terms of the regression of a function of a record value with its adjacent record values as covariates. We extend these results to the case of non-adjacent covariates. We also consider a more general setting involving monotone transformations. As special cases, we present characterizations involving weighted arithmetic, geometric, and harmonic means.

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References

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Authors and Affiliations

  1. Department of Mathematics and Statistics, University of South Florida, Tampa, FL, 33620, USA

    George P. Yanev

  2. Department of Management Sciences, Rider University, Lawrenceville, NJ, 08648, USA

    M. Ahsanullah

  3. Department of Mathematics and Statistics, University of Hyderabad, Hyderabad, 500046, India

    M. I. Beg

Authors
  1. George P. Yanev
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  2. M. Ahsanullah
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  3. M. I. Beg
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Correspondence to George P. Yanev.

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Yanev, G.P., Ahsanullah, M. & Beg, M.I. Characterizations of probability distributions via bivariate regression of record values. Metrika 68, 51–64 (2008). https://doi.org/10.1007/s00184-007-0142-7

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  • DOI: https://doi.org/10.1007/s00184-007-0142-7

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