A length-biased version of the Birnbaum-Saunders distribution with application in water quality |
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| Authors: | Víctor Leiva Antonio Sanhueza José M. Angulo |
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| Affiliation: | (1) Departamento de Estadística, Universidad de Valparaíso, Casilla, 5030 Valparaíso, Chile;(2) Departamento de Matemática y Estadística, Universidad de La Frontera, Temuco, Chile;(3) Departamento de Estadística e Investigación Operativa, Universidad de Granada, Granada, Spain |
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| Abstract: | In this article, we develop a new model based on the Birnbaum-Saunders distribution that results to be both useful and practical for environmental sciences. The density, distribution and hazard functions, moments and properties of this new model are presented. A graphical analysis of the density is also provided. Furthermore, we estimate parameters, propose asymptotic inference and discuss influence diagnostics by using likelihood methods for the new distribution. An illustrative example with real data related to water quality indicates the adequacy on the new distribution. |
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| Keywords: | Diagnostics Likelihood methods Skewed distributions Water quality |
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