58658

Автор(ы): 

Автор(ов): 

3

Параметры публикации

Тип публикации: 

Статья в журнале/сборнике

Название: 

Directional phantom distribution functions for stationary random fields

Электронная публикация: 

Да

Наименование источника: 

  • Bernoulli Journal

Город: 

  • London, UK

Издательство: 

  • Chapman & Hall

Год издания: 

2020

Страницы: 

https://www.e-publications.org/ims/submission/BEJ/user/submissionFile/43830?confirm=6d3bcd7c
Аннотация
We give necessary and sufficient conditions for the existence of a phantom distribution function for a stationary random fi eld on a regular lattice. We also introduce a less demanding notion of a directional phantom distribution, with potentially broader area of applicability. Such approach leads to sectorial limit properties, a phenomenon well-known in limit theorems for random fi elds. An example of a stationary Gaussian random fi eld is provided showing that the two notions do not coincide. Criteria for the existence of the corresponding notions of the extremal index and the sectorial extremal index are also given.

Библиографическая ссылка: 

Jakubowski A.., Родионов И.В., Soja-Kukiela N.. Directional phantom distribution functions for stationary random fields // Bernoulli Journal. 2020. С. https://www.e-publications.org/ims/submission/BEJ/user/submissionFile/43830?confirm=6d3bcd7c.