TY - JOUR
T1 - A skewed sinh-normal distribution and its properties and application to air pollution
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
UR - http://www.scopus.com/inward/record.url?scp=74549205858&partnerID=8YFLogxK
U2 - 10.1080/03610920903140171
DO - 10.1080/03610920903140171
M3 - Article
AN - SCOPUS:74549205858
VL - 39
SP - 426
EP - 443
JO - Communications in Statistics - Theory and Methods
JF - Communications in Statistics - Theory and Methods
SN - 0361-0926
IS - 3
ER -