论文标题
有限加权措施的明确表达式和计算方法
Explicit expressions and computational methods for the Fortet-Mourier distance to finite weighted sums of Dirac measures
论文作者
论文摘要
给出了对公制空间上的零dirac度量和正面有限的鲍勒级措施之间的五度距离的明确表达方式和计算方法。给出至单个狄拉克度量的距离的明确表达式。对于几个狄拉克措施的总和，人们需要求助于计算方法。特别是，给出了两种算法来计算分子度量的五度态度，即有限的狄拉克度量加权总和。讨论了如何修改其中一个，以允许计算此类措施的双界Lipschitz（或Dudley）规范。
Explicit expressions and computational approaches are given for the Fortet-Mourier distance between a positively weighted sum of Dirac measures on a metric space and a positive finite Borel measure. Explicit expressions are given for the distance to a single Dirac measure. For the case of a sum of several Dirac measures one needs to resort to a computational approach. In particular, two algorithms are given to compute the Fortet-Mourier norm of a molecular measure, i.e. a finite weighted sum of Dirac measures. It is discussed how one of these can be modified to allow computation of the dual bounded Lipschitz (or Dudley) norm of such measures.
