A0517
Title: An extended sine-skewed circular distribution and its extension to a model on cylinder
Authors: Yoichi Miyata - Takasaki City University of Economics (Japan) [presenting]
Takayuki Shiohama - Nanzan University (Japan)
Toshihiro Abe - Hosei University (Japan)
Abstract: The sine skewed circular distribution is a tractable circular probability model that can be asymmetric in shape and that has the advantage that the sine and cosine moments can be written in explicit forms. We use the framework of Ley and Verdebout to propose a new family of probability distributions, including the sine skewed circular distribution. This family includes distributions that can give stronger asymmetry around the mode than the sine skewed circular distribution. Furthermore, we show that a subfamily of the extended sine-skewed wrapped Cauchy distributions is identifiable with respect to parameters, and all distributions in the subfamily have explicit sine and cosine moments. We will also discuss an extension of the proposed circular distribution to probability models on cylinder.
