원형통계학과 반원형 정규분포의 확장

Circular statistics and an Extension of Semicircular Normal Distribution

In this article, we introduce Circular statistics and SCN family of distributions. The semicircular skew normal(SCSN) flmily of distributions for observations on the half-circle and for axial data is developed. The SCSN family of distributions are based on the semicircular normal distributions which were developed by Guardiola(2004). The SCSN contains the SCN as a special case when the shape parameter equals to 0. The SCN and the SCSN have very convenient mathematical features. Moreover, simulation ofobservations from a SCN(SCSN) is straight-forward in most computer packages through transformation of simulated standard normal(skew normal) variables, respectively.