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arXiv 1406.5973math.STstat.TH
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空间极大值的相关性

Dependence of maxima in space

Helena Ferreira, Luisa Pereira

摘要:

我们提出了一个系数,衡量大的空间过程的极大值之间的依赖性。其主要特性是:a)可以考虑$k$位置; b)它采用$[0,1]$中的值,值越高表示依赖性越强; c)它与随机场的单变量边缘分布无关; d)它可以与尾部依赖性和极值系数相关; e)它与多变量分布的一致性一致; f)它具有地质统计学变差函数的特殊情况;(1)可以很容易地估计。

英文摘要:

We propose a coefficient that measures the dependence among large values for spatial processes of maxima. Its main properties are: a) $k$ locations can be taken into account; b) it takes values in $[0,1]$ and higher values indicate stronger dependence; c) it is independent of the univariate marginal distributions of the random field; d) it can be related with the tail dependence and the extremal coefficients; e) it agrees with the concordance property for multivariate distributions; f) it has as a particular case the variogram from geostatistics; g) it can be easily estimated.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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