A generalization for two-sided power distributions and adjusted method of moments |
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| Authors: | A R Soltani H Homei |
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| Institution: | 1. Department of Statistics and Operations Research , Kuwait University , Safat, State of Kuwait;2. Department of Statistics , College of Sciences, Shiraz University , Shiraz, Iran soltani@kuc01.kuniv.edu.kw;4. Department of Statistics , College of Sciences, Shiraz University , Shiraz, Iran |
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| Abstract: | A new rich class of generalized two-sided power (TSP) distributions, where their density functions are expressed in terms of the Gauss hypergeometric functions, is introduced and studied. In this class, the symmetric distributions are supported by finite intervals and have normal shape densities. Our study on TSP distributions also leads us to a new class of discrete distributions on {0, 1, …, k}. In addition, a new numerical method for parameter estimation using moments is given. |
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| Keywords: | two-sided power distributions generalized two-sided power distributions discrete distributions induced from two-sided power distributions Gauss hypergeometric function adjusted method of moments |
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