On a length-biased life distribution based on the sinh-normal model

Antonio Sanhueza; Víctor Leiva; Esteban Flores

doi:10.1016/j.jkss.2008.12.003

On a length-biased life distribution based on the sinh-normal model

Antonio Sanhueza, Víctor Leiva, Esteban Flores

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

3 Scopus citations

Abstract

In this article, we characterize a new life distribution based on the sinh-normal model. Specifically, we find the density, the distribution function, and the moments of the new model. In addition, we carry out a brief graphical analysis of its density. Furthermore, we derive some properties and transformations related to the new distribution. Moreover, we conduct a study of its hazard rate. Finally, we present an example that illustrates the obtained results and a computational implementation of these results.

Original language	English
Pages (from-to)	323-330
Number of pages	8
Journal	Journal of the Korean Statistical Society
Volume	38
Issue number	4
DOIs	https://doi.org/10.1016/j.jkss.2008.12.003
State	Published - Dec 2009
Externally published	Yes

Keywords

Birnbaum-Saunders distribution
Inverse Gaussian distribution
Lifetime analysis
Likelihood methods
Model selection
R software

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10.1016/j.jkss.2008.12.003

Cite this

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title = "On a length-biased life distribution based on the sinh-normal model",

abstract = "In this article, we characterize a new life distribution based on the sinh-normal model. Specifically, we find the density, the distribution function, and the moments of the new model. In addition, we carry out a brief graphical analysis of its density. Furthermore, we derive some properties and transformations related to the new distribution. Moreover, we conduct a study of its hazard rate. Finally, we present an example that illustrates the obtained results and a computational implementation of these results.",

keywords = "Birnbaum-Saunders distribution, Inverse Gaussian distribution, Lifetime analysis, Likelihood methods, Model selection, R software",

author = "Antonio Sanhueza and V{\'i}ctor Leiva and Esteban Flores",

note = "Funding Information: The authors wish to thank the editor and referees for their helpful comments that aided in improving this article. The authors also wish to thank the Mexican Institute of Social Security for providing the data set used in the example. This study was partially supported by FONDECYT 1090265, DIPUV 29-2006 and DIUFRO DI08-0061 grants, Chile. ",

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AU - Sanhueza, Antonio

AU - Leiva, Víctor

AU - Flores, Esteban

N1 - Funding Information: The authors wish to thank the editor and referees for their helpful comments that aided in improving this article. The authors also wish to thank the Mexican Institute of Social Security for providing the data set used in the example. This study was partially supported by FONDECYT 1090265, DIPUV 29-2006 and DIUFRO DI08-0061 grants, Chile.

PY - 2009/12

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N2 - In this article, we characterize a new life distribution based on the sinh-normal model. Specifically, we find the density, the distribution function, and the moments of the new model. In addition, we carry out a brief graphical analysis of its density. Furthermore, we derive some properties and transformations related to the new distribution. Moreover, we conduct a study of its hazard rate. Finally, we present an example that illustrates the obtained results and a computational implementation of these results.

AB - In this article, we characterize a new life distribution based on the sinh-normal model. Specifically, we find the density, the distribution function, and the moments of the new model. In addition, we carry out a brief graphical analysis of its density. Furthermore, we derive some properties and transformations related to the new distribution. Moreover, we conduct a study of its hazard rate. Finally, we present an example that illustrates the obtained results and a computational implementation of these results.

KW - Birnbaum-Saunders distribution

KW - Inverse Gaussian distribution

KW - Lifetime analysis

KW - Likelihood methods

KW - Model selection

KW - R software

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VL - 38

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EP - 330

JO - Journal of the Korean Statistical Society

JF - Journal of the Korean Statistical Society

IS - 4

ER -

On a length-biased life distribution based on the sinh-normal model

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Keywords

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