Cardiff University | Prifysgol Caerdydd ORCA
Online Research @ Cardiff 
WelshClear Cookie - decide language by browser settings

Limit theorems for multifractal products of geometric stationary processes

Denisov, Denis and Leonenko, Nikolai 2016. Limit theorems for multifractal products of geometric stationary processes. Bernoulli 22 (4) , pp. 2579-2608. 10.3150/15-BEJ738

[img]
Preview
PDF - Accepted Post-Print Version
Download (458kB) | Preview

Abstract

We investigate the properties of multifractal products of geometric Gaussian processes with possible long-range dependence and geometric Ornstein–Uhlenbeck processes driven by Lévy motion and their finite and infinite superpositions. We present the general conditions for the Lq convergence of cumulative processes to the limiting processes and investigate their qth order moments and Rényi functions, which are non-linear, hence displaying the multifractality of the processes as constructed. We also establish the corresponding scenarios for the limiting processes, such as log-normal, log-gamma, log-tempered stable or log-normal tempered stable scenarios.

Item Type: Article
Date Type: Published Online
Status: Published
Schools: Mathematics
Subjects: Q Science > QA Mathematics
Publisher: Bernoulli Society for Mathematical Statistics and Probability
ISSN: 1350-7265
Date of First Compliant Deposit: 9 May 2019
Date of Acceptance: 15 July 2015
Last Modified: 29 Jun 2019 18:37
URI: http://orca.cf.ac.uk/id/eprint/89601

Citation Data

Cited 2 times in Google Scholar. View in Google Scholar

Cited 1 time in Scopus. View in Scopus. Powered By Scopus® Data

Actions (repository staff only)

Edit Item Edit Item

Downloads

Downloads per month over past year

View more statistics