Title: Testing symmetry of a mode and anti-mode preserving distributions on the circle
Authors: Takayuki Shiohama - Nanzan University (Japan) [presenting]
Toshihiro Abe - Hosei University (Japan)
Yoichi Miyata - Takasaki City University of Economics (Japan)
Abstract: The problem for testing symmetry of a circular distribution function is considered. Under the assumption that the underlying distribution function has mode and anti-mode preserving properties, we propose two types of test statistics for the null hypothesis of symmetry for the circular distribution. These test statistics are based on a circular distribution function and density function. Asymptotic distributions of the test statistics are investigated. Numerical simulations are provided to investigate the performances of the size and power for the proposed test statistics. Several symmetric tests using real data analysis are also illustrated.