A0401
Title: Asymptotically optimal inference for two modal concentration of antipodally symmetric circular distributions
Authors: Toshihiro Abe - Hosei University (Japan) [presenting]
Hiroaki Ogata - Tokyo Metropolitan University (Japan)
Takayuki Shiohama - Nanzan University (Japan)
Hiroyuki Taniai - Wadeda University (Japan)
Abstract: The optimal asymptotic inference for antipodal symmetry is considered when the center direction of symmetry is specified by using a family of bimodal distributions on the circle. To adapt the Le Cam theory, we consider the reparameterization of the existing cosine perturbed bimodal models on the circle. The properties of the uniform local asymptotic normality (ULAN) for the cosine perturbed models are described. Finally, as an illustrative example, our developed tests are applied to the movements of 76 female turtles.
