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http://dx.doi.org/10.5351/KJAS.2009.22.4.879

Projected Circular and l-Axial Skew-Normal Distributions  

Seo, Han-Son (Department of Applied Statistics, Konkuk University)
Shin, Jong-Kyun (Department of Applied Statistics, Konkuk University)
Kim, Hyoung-Moon (Department of Applied Statistics, Konkuk University)
Publication Information
The Korean Journal of Applied Statistics / v.22, no.4, 2009 , pp. 879-891 More about this Journal
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;
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