The dependence structure of log-fractional stable noise with analogy to fractional Gaussian noise

We examine the process log-fractional stable motion (log-FSM), which is an α-stable process with α ∈ (1, 2). Its tail probabilities decay like x−α as x → ∞, and hence it has a finite mean, but its variance is infinite. As a result, its dependence structure cannot be described by using correlation...

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Bibliographic Details
Main Authors: Murad S. Taqqu, Joshua B. Levy
Format: Article
Language:English
Published: Sapienza Università Editrice 2008-01-01
Series:Rendiconti di Matematica e delle Sue Applicazioni
Subjects:
Online Access:https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2008(1)/97-115.pdf