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Some General Characterizations of the Bivariate Gumbel Distribution and the Bivariate Lomax Distribution Based on Truncated Expectations

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  • Asadi, Majid
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    Abstract

    Recently attempts have been made to characterize probability distributions via truncated expectations in both univariate and multivariate cases. In this paper we will use a well known theorem of Lau and Rao (1982) to obtain some characterization results, based on the truncated expectations of a functionh, for the bivariate Gumbel distribution, a bivariate Lomax distribution, and a bivariate power distribution. The results of the paper subsume some earlier results appearing in the literature.

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    File URL: http://www.sciencedirect.com/science/article/B6WK9-45KNB4H-4/2/030d0ebc85a8793a1623e6c64525f9b9
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    Bibliographic Info

    Article provided by Elsevier in its journal Journal of Multivariate Analysis.

    Volume (Year): 67 (1998)
    Issue (Month): 2 (November)
    Pages: 190-202

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    Handle: RePEc:eee:jmvana:v:67:y:1998:i:2:p:190-202

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    Related research

    Keywords: truncated expectation; bivariate distributions; Gumbel distribution; bivariate Lomax distribution; characterization; the Lau-Rao theorem;

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    1. Roy, Dilip & Gupta, R. P., 1996. "Bivariate Extension of Lomax and Finite Range Distributions through Characterization Approach," Journal of Multivariate Analysis, Elsevier, vol. 59(1), pages 22-33, October.
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