Directional phantom distribution functions for stationary random fields
نویسندگان
چکیده
We give necessary and sufficient conditions for the existence of a phantom distribution function stationary random field on regular lattice. also introduce less demanding notion directional distribution, with potentially broader area applicability. Such approach leads to sectorial limit properties, phenomenon well-known in theorems fields. An example Gaussian is provided showing that two notions do not coincide. Criteria corresponding extremal index are given.
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ژورنال
عنوان ژورنال: Bernoulli
سال: 2021
ISSN: ['1573-9759', '1350-7265']
DOI: https://doi.org/10.3150/20-bej1264