A skewed sinh-normal distribution and its properties and application to air pollution

Víctor Leiva; Filidor Vilca; N. Balakrishnan; Antonio Sanhueza

doi:10.1080/03610920903140171

A skewed sinh-normal distribution and its properties and application to air pollution

Víctor Leiva, Filidor Vilca, N. Balakrishnan, Antonio Sanhueza

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

71 Scopus citations

Abstract

In this article, we introduce a skewed version of the sinh-normal distribution and discuss some of its properties. In addition, we characterize an extension of the Birnbaum-Saunders model associated with this distribution from a probabilistic viewpoint along with a lifetime analysis based on its hazard rate. Finally, one of the proposed models is applied to air pollution data in order to illustrate its usefulness.

Original language	English
Pages (from-to)	426-443
Number of pages	18
Journal	Communications in Statistics - Theory and Methods
Volume	39
Issue number	3
DOIs	https://doi.org/10.1080/03610920903140171
State	Published - Jan 2010
Externally published	Yes

Keywords

Birnbaum-Saunders model
Logarithmic distributions
Skew distributions

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10.1080/03610920903140171

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title = "A skewed sinh-normal distribution and its properties and application to air pollution",

abstract = "In this article, we introduce a skewed version of the sinh-normal distribution and discuss some of its properties. In addition, we characterize an extension of the Birnbaum-Saunders model associated with this distribution from a probabilistic viewpoint along with a lifetime analysis based on its hazard rate. Finally, one of the proposed models is applied to air pollution data in order to illustrate its usefulness.",

keywords = "Birnbaum-Saunders model, Logarithmic distributions, Skew distributions",

author = "V{\'i}ctor Leiva and Filidor Vilca and N. Balakrishnan and Antonio Sanhueza",

note = "Funding Information: The authors wish to thank the Guest Editor, Prof. Christos H. Skiadas, and anonymous referees for their helpful comments that aided in significantly improving this article. This study was partially supported by FONDECYT 1080326, FONDECYT 1090265 and DIPUV 29-2006 grants, Chile, and CNPq and FAPESP, Brazil.",

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AU - Leiva, Víctor

AU - Vilca, Filidor

AU - Balakrishnan, N.

AU - Sanhueza, Antonio

N1 - Funding Information: The authors wish to thank the Guest Editor, Prof. Christos H. Skiadas, and anonymous referees for their helpful comments that aided in significantly improving this article. This study was partially supported by FONDECYT 1080326, FONDECYT 1090265 and DIPUV 29-2006 grants, Chile, and CNPq and FAPESP, Brazil.

PY - 2010/1

Y1 - 2010/1

N2 - In this article, we introduce a skewed version of the sinh-normal distribution and discuss some of its properties. In addition, we characterize an extension of the Birnbaum-Saunders model associated with this distribution from a probabilistic viewpoint along with a lifetime analysis based on its hazard rate. Finally, one of the proposed models is applied to air pollution data in order to illustrate its usefulness.

AB - In this article, we introduce a skewed version of the sinh-normal distribution and discuss some of its properties. In addition, we characterize an extension of the Birnbaum-Saunders model associated with this distribution from a probabilistic viewpoint along with a lifetime analysis based on its hazard rate. Finally, one of the proposed models is applied to air pollution data in order to illustrate its usefulness.

KW - Birnbaum-Saunders model

KW - Logarithmic distributions

KW - Skew distributions

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DO - 10.1080/03610920903140171

M3 - Article

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EP - 443

JO - Communications in Statistics - Theory and Methods

JF - Communications in Statistics - Theory and Methods

IS - 3

ER -

A skewed sinh-normal distribution and its properties and application to air pollution

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Keywords

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