The logarithm map, its limits and Fréchet means in orthant spaces THE LOGARITHM MAP, ITS LIMITS AND FRÉCHET MEANS IN ORTHANT SPACES
The logarithm map, its limits and Fréchet means in orthant spaces THE LOGARITHM MAP, ITS LIMITS AND FRÉCHET MEANS IN ORTHANT SPACES
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对数映射、其极限和 FRÉCHET 在正交空间中的含义 对数映射、其极限和 FRÉCHET 在正交空间中的含义
DOI：
10.1112/plms.12149
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发表时间：
2018
影响因子：
1.8
通讯作者：
Barden D
中科院分区：
文献类型：
--
作者：
Barden D
本文第一部分研究了对数映射在简单分层空间 Orthant 空间上的表达式和性质，旨在分析该空间上概率测度的 Fréchet 均值。在第二部分中，我们使用这些结果来表征 Fréchet 均值并推导其各种属性，包括样本 Fréchet 均值的极限分布。
The first part of the paper studies the expression for, and the properties of, the logarithm map on an orthant space, which is a simple stratified space, with the aim of analysing Fréchet means of probability measures on such a space. In the second part, we use these results to characterise Fréchet means and to derive various of their properties, including the limiting distribution of sample Fréchet means.