摘要翻译：
给出欧几里得空间$\mathbf{R}^s$的一个M维紧致子流形$\mathbf{M}$,将与均值或期望向量有关的分布的均值位置的概念推广到更一般的$\mathbf{R}^s$值泛函，包括由空间中值导出的中值位置。给出了这类子流形上分布泛函的渐近统计推断。研究了收敛性质与下层分布关于切点的行为的关系。一个应用是在独立的，但不是同分布的，样本，特别是多采样设置的上下文中给出的。
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英文标题：
《Asymptotic data analysis on manifolds》
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作者：
Harrie Hendriks, Zinoviy Landsman
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最新提交年份：
2007
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分类信息：

一级分类：Mathematics        数学
二级分类：Statistics Theory        统计理论
分类描述：Applied, computational and theoretical statistics: e.g. statistical inference, regression, time series, multivariate analysis, data analysis, Markov chain Monte Carlo, design of experiments, case studies
应用统计、计算统计和理论统计：例如统计推断、回归、时间序列、多元分析、数据分析、马尔可夫链蒙特卡罗、实验设计、案例研究
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一级分类：Statistics        统计学
二级分类：Statistics Theory        统计理论
分类描述：stat.TH is an alias for math.ST. Asymptotics, Bayesian Inference, Decision Theory, Estimation, Foundations, Inference, Testing.
Stat.Th是Math.St的别名。渐近，贝叶斯推论，决策理论，估计，基础，推论，检验。
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英文摘要：
  Given an m-dimensional compact submanifold $\mathbf{M}$ of Euclidean space $\mathbf{R}^s$, the concept of mean location of a distribution, related to mean or expected vector, is generalized to more general $\mathbf{R}^s$-valued functionals including median location, which is derived from the spatial median. The asymptotic statistical inference for general functionals of distributions on such submanifolds is elaborated. Convergence properties are studied in relation to the behavior of the underlying distributions with respect to the cutlocus. An application is given in the context of independent, but not identically distributed, samples, in particular, to a multisample setup.
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PDF链接：
https://arxiv.org/pdf/708.0474