Open Access
2012 Estimating self-similarity through complex variations
Jacques Istas
Electron. J. Statist. 6: 1392-1408 (2012). DOI: 10.1214/12-EJS717

Abstract

We estimate the self-similarity index of a $H$-sssi process through complex variations. The advantage of the complex variations is that they do not require existence of moments and can therefore be used for infinite variance processes.

Citation

Download Citation

Jacques Istas. "Estimating self-similarity through complex variations." Electron. J. Statist. 6 1392 - 1408, 2012. https://doi.org/10.1214/12-EJS717

Information

Published: 2012
First available in Project Euclid: 31 July 2012

zbMATH: 1334.60052
MathSciNet: MR2988452
Digital Object Identifier: 10.1214/12-EJS717

Subjects:
Primary: 60G18
Secondary: 60G15 , 60G52

Keywords: $H$-sssi processes , complex variations , self-similarity

Rights: Copyright © 2012 The Institute of Mathematical Statistics and the Bernoulli Society

Back to Top