59629 | ИПУ РАН

Автор(ы):

Автор(ов):

Параметры публикации

Тип публикации:

Статья в журнале/сборнике

Название:

Correction to: On maximum of Gaussian random fields having unique maximum point of its variance

Электронная публикация:

Да

ISBN/ISSN:

1386-1999

DOI:

10.1007/s10687-020-00398-9

Наименование источника:

Extremes

Город:

Basel, Switzerland

Издательство:

Springer Nature

Год издания:

2020

Страницы:

https://link.springer.com/article/10.1007/s10687-020-00398-9

Аннотация

In the proof of Proposition 3 below formula (31), it was stated that Sigma(u) and Sigma'(u) are integral sums for the integral I (f(u)) where f (t) = (1 − σ^ 2(t))/2. In spite of the fact that Sigma'(u) ≤ I (u) ≤ Sigma(u), the relation Sigma(u)/Sigma'(u) → 1, u → ∞, was not justified. To show this, we should significantly change the proof of Proposition 3.

Библиографическая ссылка:

Кобельков С.Г., Питербарг В.И., Родионов И.В. Correction to: On maximum of Gaussian random fields having unique maximum point of its variance // Extremes. 2020. С. https://link.springer.com/article/10.1007/s10687-020-00398-9.