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Characterizations of the -class of life distributions

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  • Gwo Dong, Lin

Abstract

Since Klefsjö (1983) defined and investigated the -class of life distributions, this class has attracted a great deal of attention. In this paper, we first clarify the existing characterizations of the -class. Then we apply these results to estimate the moments of distributions in and to characterize the exponential distribution.

Suggested Citation

  • Gwo Dong, Lin, 1998. "Characterizations of the -class of life distributions," Statistics & Probability Letters, Elsevier, vol. 40(3), pages 259-266, October.
    • Handle: RePEc:eee:stapro:v:40:y:1998:i:3:p:259-266
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    Cited by:

    1. Chin-Yuan Hu & Gwo Lin, 2003. "Characterizations of the exponential distribution by stochastic ordering properties of the geometric compound," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 55(3), pages 499-506, September.

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