The paper deals with projection estimators of the density of the stationary solution $X$ to a differential equation driven by the fractional Brownian motion under a dissipativity condition on the drift function. A model selection method is provided and, thanks to the concentration inequality for Lipschitz functionals of discrete samples of $X$ proved in Bertin et al. (2020), an oracle inequality is established for the adaptive estimator.

翻译：本文涉及对恒定溶液密度的预测估计值(X$),用于根据漂移功能的消流性条件,按分数布朗运动驱动的差别方程,提供了一种示范选择方法,由于Bertin等人(2020年)证明的Lipschitz离散样本功能的浓度不均,为适应性估测器确定了甲骨骼不平等。