论文标题
非均匀浆果 - 埃森定理和Edgeworth的扩展,并应用了用于弱依赖随机变量的距离
Non-uniform Berry-Esseen theorem and Edgeworth expansions with applications to transport distances for weakly dependent random variables
论文作者
论文摘要
我们为几类随机变量的弱依赖性序列(包括均匀椭圆形的不均匀马尔可夫链,随机和随机(部分)双曲线或扩展动态系统,随机矩阵的产物,随机矩阵和某些类别的地方统计数据,我们获得了多种弱依赖性变量的弱序列的非均匀浆果式估计值和Edgeworth的扩展。
We obtain non-uniform Berry-Esseen type estimates and Edgeworth expansions for several classes of weakly dependent sequences of random variables, including uniformly elliptic inhomogeneous Markov chains, random and time-varying (partially) hyperbolic or expanding dynamical systems, products of random matrices and some classes of local statistics.