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On a characterization of the exponential distribution by properties of order statistics

Author

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  • Gather, Ursula

Abstract

A continuous c.d.f. F(x), strictly increasing for x> 0, is exponential if and only if Xj, n - Xi, n and Xj-i, n-i have identical distribution for some i, n, J = j1, j2, 1 [less-than-or-equals, slant] i

Suggested Citation

  • Gather, Ursula, 1988. "On a characterization of the exponential distribution by properties of order statistics," Statistics & Probability Letters, Elsevier, vol. 7(2), pages 93-96, September.
    • Handle: RePEc:eee:stapro:v:7:y:1988:i:2:p:93-96
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    Cited by:

    1. Kayid, M. & Izadkhah, S., 2015. "Characterizations of the exponential distribution by the concept of residual life at random time," Statistics & Probability Letters, Elsevier, vol. 107(C), pages 164-169.

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