응용통계연구 (The Korean Journal of Applied Statistics)

  • 제22권4호
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  • Pages.879-891
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  • 2009
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  • 1225-066X(pISSN)
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  • 2383-5818(eISSN)
한국통계학회 (The Korean Statistical Society)
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Projected Circular and l-Axial Skew-Normal Distributions

  • 발행 : 2009.08.31
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초록

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.

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참고문헌

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피인용 문헌

  1. Skew Normal Boxplot and Outliers vol.19, pp.4, 2012, https://doi.org/10.5351/CKSS.2012.19.4.591