A length-biased version of the Birnbaum-Saunders distribution with application in water quality

被引:0
作者
Víctor Leiva
Antonio Sanhueza
José M. Angulo
机构
[1] Universidad de Valparaíso,Departamento de Estadística
[2] Universidad de La Frontera,Departamento de Matemática y Estadística
[3] Universidad de Granada,Departamento de Estadística e Investigación Operativa
来源
Stochastic Environmental Research and Risk Assessment | 2009年 / 23卷
关键词
Diagnostics; Likelihood methods; Skewed distributions; Water quality;
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学科分类号
摘要
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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页码:299 / 307
页数:8
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