论文标题
自由概率中的超授权限制了任意三角阵列的定理
Superconvergence in free probability limit theorems for arbitrary triangular arrays
论文作者
论文摘要
众所周知，限制具有相同分布行的三角形阵列的定理会产生密度的收敛性，而不仅仅是分布中的收敛性。我们表明，这种超偏见结果至少在极限密度为非零的点上 - 即使数组的行不是相同的分布。
It is known that limit theorems for triangular arrays with identically distributed rows yields convergence of densities rather than just convergence in distribution. We show that this superconvergence result holds -- at least at points at which the limit density is nonzero -- even if the rows of the array are not identically distributed.
