3 papers
stat.ME2024
An extension of sine-skewed circular distributions
Yoichi Miyata, Takayuki Shiohama, Toshihiro Abe
Sine-skewed circular distributions are identifiable and have easily-computable trigonometric moments and a simple random number generation algorithm, whereas they are known to have…
stat.ME2023
A mixture transition distribution modeling for higher-order circular Markov processes
Hiroaki Ogata, Takayuki Shiohama
The stationary higher-order Markov process for circular data is considered. We employ the mixture transition distribution (MTD) model to express the transition density of the proce…
math.ST2019
Identifiability of asymmetric circular and cylindrical distributions
Yoichi Miyata, Takayuki Shiohama, Toshihiro Abe
Identifiability of statistical models is a fundamental and essential condition that is required to prove the consistency of maximum likelihood estimators. The identifiability of th…