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

被引：62

作者：

Leiva, Victor ^{[1
]}

Sanhueza, Antonio ^{[2
]}

Angulo, Jose M. ^{[3
]}

机构：

[1] Univ Valparaiso, Dept Estadist, Valparaiso, Chile

[2] Univ La Frontera, Dept Matemat & Estadist, Temuco, Chile

[3] Univ Granada, Dept Estadist & Invest Operat, Granada, Spain

来源：

STOCHASTIC ENVIRONMENTAL RESEARCH AND RISK ASSESSMENT | 2009年 / 23卷 / 03期

关键词：

Diagnostics; Likelihood methods; Skewed distributions; Water quality; REGRESSION;

D O I：

10.1007/s00477-008-0215-9

中图分类号：

X [环境科学、安全科学];

学科分类号：

08 ; 0830 ;

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.

引用

页码：299 / 307

页数：9

共 15 条

[1]

[Anonymous], 2006, R News

[2]

[Anonymous], 1995, Continuous Univariate Distributions

[3] Acceptance sampling plans from truncated life tests based on the generalized Birnbaum-Saunders distribution [J].