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Projected Circular and l-Axial Skew-Normal Distributions
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 Title & Authors
Projected Circular and l-Axial Skew-Normal Distributions
Seo, Han-Son; Shin, Jong-Kyun; Kim, Hyoung-Moon;
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 Abstract
We developed the projected l-axial skew-normal(LASN) family of distributions for I-axial data. The LASN family of distributions contains the semicircular skew-normal(SCSN) and the circular skew-normal(CSN) families of distributions as special cases. The LASN densities are similar to the wrapped skew-normal densities for the small values of the scale parameter. However CSN densities have more heavy tails than those of the wrapped skew-normal densities on the circle. Furthermore the CSN densities have two modes as the scale parameter increases. The LASN distribution has very convenient mathematical features. We extend the LASN family of distributions to a bivariate case.
 Keywords
Projection;skewed l-axial data;l-axial distribution;bimodality;
 Language
English
 Cited by
1.
Skew Normal Boxplot and Outliers,;;

Communications for Statistical Applications and Methods, 2012. vol.19. 4, pp.591-595 crossref(new window)
1.
Skew Normal Boxplot and Outliers, Communications for Statistical Applications and Methods, 2012, 19, 4, 591  crossref(new windwow)
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