标题： Wasserstein 投影估计量用于圆形分布 显示英文标题

标题： Wasserstein projection estimators for circular distributions

摘要： 对于圆上的统计模型，我们研究了以经验分布相对于Wasserstein距离的投影定义的估计量的性能。我们开发了基于圆上Wasserstein距离公式的计算Wasserstein投影估计量的算法。在von Mises、包裹柯西和正弦偏斜von Mises分布上的数值结果表明，Wasserstein投影估计量的准确性与最大似然估计量相当。此外，$L^1$-Wasserstein投影估计量被发现对噪声污染具有鲁棒性。 显示英文摘要

摘要： For statistical models on circles, we investigate performance of estimators defined as the projections of the empirical distribution with respect to the Wasserstein distance. We develop algorithms for computing the Wasserstein projection estimators based on a formula of the Wasserstein distances on circles. Numerical results on the von Mises, wrapped Cauchy, and sine-skewed von Mises distributions show that the accuracy of the Wasserstein projection estimators is comparable to the maximum likelihood estimator. In addition, the $L^1$-Wasserstein projection estimator is found to be robust against noise contamination.