Title: On transformation of scale distributions on the circle
Authors: Toshihiro Abe - Nanzan University (Japan) [presenting]
Yoichi Miyata - Takasaki City University of Economics (Japan)
Takayuki Shiohama - Tokyo University of Science (Japan)
Abstract: Circular scale distributions on the circle whose densities are asymmetric and unimodal are considered. Basic properties and skewness measures for the distributions are provided. The inverse functions for the skew distributions with mode preserving property are introduced as special cases of this type. Other scale transformations for the distributions are also given. Maximum likelihood estimation for the distributions are also provided as well as the elements of Fisher information matrix. The method of maximum likelihood is applied for a real data set.