Limit theorems for shift selfsimilar additive random sequences
type: Item
instance of: scholarly article
title: Limit theorems for shift selfsimilar additive random sequences
zbMATH Open document ID: 1022.60028
author: Toshiro Watanabe
published in: Osaka Journal of Mathematics
publication date: 2003-10-26T00:00:00Z
review text: The paper introduces shift self-similar sequences as a discrete time analogue of self-similar processes. Their almost sure asymptotic behaviour is in the center of the author's interest. He presents and proves several results describing the convergence rate by exponential multiplied with an appropriate positive monotone function.
Mathematics Subject Classification ID: 60F15
Mathematics Subject Classification ID: 60G18
zbMATH DE Number: 1836036
zbMATH Keywords: self-similar process
zbMATH Keywords: shift self-similar sequence
zbMATH Keywords: almost sure convergence
reviewed by: Petr Lachout
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1836036