A New Class of Non Negative Distributions Generated by Symmetric Distributions |
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Authors: | David Elal-Olivero Héctor W Gómez Heleno Bolfarine |
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Institution: | 1. Departamento de Matemática, Facultad de Ingeniería , Universidad de Atacama , Copiapo, Chile;2. Departamento de Matemáticas, Facultad de Ciecias Básicas , Universidad de Antofagasta , Antofagasta, Chile;3. Departamento de Estatística, Instituto de Matematica e Estatística , Universidad de S?o Paulo , S?o Paulo, Brasil |
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Abstract: | In this article, we study a new class of non negative distributions generated by the symmetric distributions around zero. For the special case of the distribution generated using the normal distribution, properties like moments generating function, stochastic representation, reliability connections, and inference aspects using methods of moments and maximum likelihood are studied. Moreover, a real data set is analyzed, illustrating the fact that good fits can result. |
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Keywords: | Non negative distributions Stochastic representation Symmetric distributions |
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