Details

Autor(en) / Beteiligte

• Anh, Vo
• Olenko, Andriy
• Vaskovych, V.

Titel

Non-central limit theorems and convergence rates

Ist Teil von

• Theory of probability and mathematical statistics, 2017, Vol.95, p.3-15

Erscheinungsjahr

2017

Link zum Volltext

Quelle

Free E-Journal (出版社公開部分のみ）

Beschreibungen/Notizen

• This paper surveys some recent developments in non-central limit theorems for long-range dependent random processes and fields. We describe an increasing domain framework for asymptotic behavior of functionals of random processes and fields. Recent results on the rate of convergence to the Hermite-type distributions in non-central limit theorems are presented. The use of these results is demonstrated through an application to the case of Rosenblatt-type distributions.