3 papers
stat.ME2024
Priors for Reducing Asymptotic Bias of the Posterior Mean
Miyata Yoichi, Yanagimoto Takemi
It is shown that the first-order term of the asymptotic bias of the posterior mean is removed by a suitable choice of a prior density. In regular statistical models including expon…
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.ME2022
A Pair of Novel Priors for Improving and Extending the Conditional MLE
T. Yanagimoto, Y. Miyata
A Bayesian estimator aiming at improving the conditional MLE is proposed by introducing a pair of priors. After explaining the conditional MLE by the posterior mode under a prior,…