Contours and dimple for the Gneiting class of space-time correlation functions
成果类型：
Article
署名作者：
Cuevas, F.; Porcu, E.; Bevilacqua, M.
署名单位：
Aalborg University; Newcastle University - UK; Universidad de Valparaiso
刊物名称：
BIOMETRIKA
ISSN/ISSBN：
0006-3444
DOI：
10.1093/biomet/asx048
发表日期：
2017
页码：
9951001
关键词：
摘要：
We offer a dual view of the dimple problem related to space-time correlation functions in terms of their contours. We find that the dimple property (Kent et al., 2011) in the Gneiting class of correlations is in one-to-one correspondence with nonmonotonicity of the parametric curve describing the associated contour lines. Further, we show that given such a nonmonotonic parametric curve associated with a given level set, all the other parametric curves at smaller levels inherit the nonmonotonicity. We propose a modified Gneiting class of correlations having monotonically decreasing parametric curves and no dimple along the temporal axis.
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