Some General Characterizations of the Bivariate Gumbel Distribution and the Bivariate Lomax Distribution Based on Truncated Expectations |
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Authors: | Majid Asadi |
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Affiliation: | University of Sheffield, Sheffield, United Kingdom |
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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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Keywords: | truncated expectation, bivariate distributions, Gumbel distribution, bivariate Lomax distribution, characterization, the Lau– Rao theorem |
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