Limit theorems for a quadratic variation of Gaussian processes

In the paper a weighted quadratic variation based on a sequence of partitions for a class of Gaussian processes is considered. Conditions on the sequence of partitions and the process are established for the quadratic variation to converge almost surely and for a central limit theorem to be true. A...

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Bibliographic Details
Main Author: Raimondas Malukas
Format: Article
Language:English
Published: Vilnius University Press 2011-12-01
Series:Nonlinear Analysis
Subjects:
Online Access:http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/14087