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Characterization of exponential distribution via regression of one record value on two non-adjacent record values

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  • George Yanev

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Abstract

We characterize the exponential distribution as the only one which satisfies a regression condition. This condition involves the regression function of a fixed record value given two other record values, one of them being previous and the other next to the fixed record value, and none of them are adjacent. In particular, it turns out that the underlying distribution is exponential if and only if given the first and last record values, the expected value of the median in a sample of record values equals the sample midrange. Copyright Springer-Verlag 2012

Suggested Citation

  • George Yanev, 2012. "Characterization of exponential distribution via regression of one record value on two non-adjacent record values," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 75(6), pages 743-760, August.
  • Handle: RePEc:spr:metrik:v:75:y:2012:i:6:p:743-760
    DOI: 10.1007/s00184-011-0350-z
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    File URL: http://hdl.handle.net/10.1007/s00184-011-0350-z
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    References listed on IDEAS

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    1. George Yanev & M. Ahsanullah & M. Beg, 2008. "Characterizations of probability distributions via bivariate regression of record values," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 68(1), pages 51-64, June.
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