On a length-biased life distribution based on the sinh-normal model |
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| Authors: | Antonio Sanhueza Víctor Leiva Esteban Flores |
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| Institution: | 1. Departamento de Matemática y Estadística, Universidad de La Frontera, Temuco, Chile;2. Departamento de Estadística, CIMFAV, Universidad de Valparaíso, Valparaíso, Chile;3. Departamento de Actuaría y Seguros, Instituto Tecnológico Autónomo de México, DF, Mexico |
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| Abstract: | In this article, we characterize a new life distribution based on the sinh-normal model. Specifically, we find the density, the distribution function, and the moments of the new model. In addition, we carry out a brief graphical analysis of its density. Furthermore, we derive some properties and transformations related to the new distribution. Moreover, we conduct a study of its hazard rate. Finally, we present an example that illustrates the obtained results and a computational implementation of these results. |
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