空间中值渐近方差的刀切估计的相合性

IF 1.4 3区数学 Q2 STATISTICS & PROBABILITY

Journal of Multivariate Analysis Pub Date : 2024-12-15 DOI:10.1016/j.jmva.2024.105399

František Rublík

引用次数: 0

摘要

证明了空间中值渐近方差的通常的delete-1折刀方差估计是一致的。在数据维数d≥3的假设下证明了这一点，采样分布相对于Lebesgue测度具有密度，并且该密度在Rd的每一个有界子集上都有界。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On the consistency of the jackknife estimator of the asymptotic variance of spatial median

It is shown that the usual delete-1 jackknife variance estimator of the asymptotic variance of spatial median is consistent. This is proved under the assumptions that the dimension of the data

d \geq 3

, the sampled distribution possesses a density with respect to the Lebesgue measure and this density is bounded on every bounded subset of

R^{d}

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来源期刊

Journal of Multivariate Analysis 数学-统计学与概率论

CiteScore

2.40

自引率

25.00%

发文量

108

审稿时长

74 days

期刊介绍： Founded in 1971, the Journal of Multivariate Analysis (JMVA) is the central venue for the publication of new, relevant methodology and particularly innovative applications pertaining to the analysis and interpretation of multidimensional data. The journal welcomes contributions to all aspects of multivariate data analysis and modeling, including cluster analysis, discriminant analysis, factor analysis, and multidimensional continuous or discrete distribution theory. Topics of current interest include, but are not limited to, inferential aspects of Copula modeling Functional data analysis Graphical modeling High-dimensional data analysis Image analysis Multivariate extreme-value theory Sparse modeling Spatial statistics.