The generalized exponential family of distributions and its characteristics |
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Authors: | Tomer Shushi |
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Affiliation: | Actuarial Research Center, University of Haifa, Mount Carmel, Haifa, Israel |
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Abstract: | In this paper we generalize the exponential family (EF) of distributions into a wider family which includes important distributions such as the normal, log-normal, Student-t, Cauchy, logistic and Birnbaum–Saunders distributions. Furthermore, we derive several characteristics of the proposed family. The importance of such family is also discussed. |
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Keywords: | Exponential family parameterized distributions statistics |
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