Title: The mixture transition distribution modeling for higher order circular Markov processes
Authors: Takayuki Shiohama - Tokyo University of Science (Japan)
Hiroaki Ogata - Tokyo Metropolitan University (Japan) [presenting]
Abstract: The stationary higher order Markov process for circular data is considered. We employ the mixture transition distribution model to express the transition density of the process. The underlying circular transition distribution is based on the Wehrly and Johnson's bivariate circular models. The structure of the circular autocorrelation function is found to be similar to the autocorrelation function of the AR process on the line. The validity of the model is assessed by applying it to a series of real directional data.