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

Víctor Leiva; Antonio Sanhueza; José M. Angulo

doi:10.1007/s00477-008-0215-9

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

Víctor Leiva, Antonio Sanhueza, José M. Angulo

Research output: Contribution to journal › Article › peer-review

67 Scopus citations

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.

Original language	English
Pages (from-to)	299-307
Number of pages	9
Journal	Stochastic Environmental Research and Risk Assessment
Volume	23
Issue number	3
DOIs	https://doi.org/10.1007/s00477-008-0215-9
State	Published - 2009
Externally published	Yes

Keywords

Diagnostics
Likelihood methods
Skewed distributions
Water quality

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10.1007/s00477-008-0215-9

Cite this

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title = "A length-biased version of the Birnbaum-Saunders distribution with application in water quality",

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.",

keywords = "Diagnostics, Likelihood methods, Skewed distributions, Water quality",

author = "V{\'i}ctor Leiva and Antonio Sanhueza and Angulo, {Jos{\'e} M.}",

note = "Funding Information: The authors wish to thank the Editor, AE and referees for their helpful comments that aided in improving this article. Also, the authors thank the Direcci{\'o}n General de Aguas of the government of Chile for providing the data used in this article. This research was partially supported by grants FONDECYT 1050862, Chile, International Clinical Epidemiology Network (INCLEN) and DGI MTM2005-08597 and Andalusian CICYE P05-FQM-00990, Spain.",

year = "2009",

doi = "10.1007/s00477-008-0215-9",

language = "English",

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journal = "Stochastic Environmental Research and Risk Assessment",

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T1 - A length-biased version of the Birnbaum-Saunders distribution with application in water quality

AU - Leiva, Víctor

AU - Sanhueza, Antonio

AU - Angulo, José M.

N1 - Funding Information: The authors wish to thank the Editor, AE and referees for their helpful comments that aided in improving this article. Also, the authors thank the Dirección General de Aguas of the government of Chile for providing the data used in this article. This research was partially supported by grants FONDECYT 1050862, Chile, International Clinical Epidemiology Network (INCLEN) and DGI MTM2005-08597 and Andalusian CICYE P05-FQM-00990, Spain.

PY - 2009

Y1 - 2009

N2 - 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.

AB - 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.

KW - Diagnostics

KW - Likelihood methods

KW - Skewed distributions

KW - Water quality

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JO - Stochastic Environmental Research and Risk Assessment

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IS - 3

ER -

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

Abstract

Keywords

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