Eprint first made available on ORBi (E-prints, working papers and research blog)
Modified wavelet variation for the Hermite processes
Loosveldt, Laurent; Tudor, Ciprian A.
2024
 

Files


Full Text
modified-wavelet-hermite3.pdf
Author preprint (534.72 kB) Creative Commons License - Attribution, ShareAlike
Download

All documents in ORBi are protected by a user license.

Send to



Details



Keywords :
Hermits process; Multiple Wiener-Itô integrals; Wavelet analysis; Stein-Malliavin calculus; Asymptotic normality; Central limit theorem; Self-similarity; Hurst parameter estimation; Strong consistency
Abstract :
[en] We define an asymptotically normal wavelet-based strongly consistent estimator for the Hurst parameter of any Hermite processes. This estimator is obtained by considering a modified wavelet variation in which coefficients are wisely chosen to be, up to negligeable remainders, independent. We use Stein-Malliavin calculus to prove that this wavelet variation satisfies a multidimensional Central Limit Theorem, with an explicit bound for the Wasserstein distance.
Disciplines :
Mathematics
Author, co-author :
Loosveldt, Laurent  ;  Université de Liège - ULiège > Mathematics
Tudor, Ciprian A.
Language :
English
Title :
Modified wavelet variation for the Hermite processes
Publication date :
March 2024
Number of pages :
40
Available on ORBi :
since 11 March 2024

Statistics


Number of views
9 (1 by ULiège)
Number of downloads
1 (0 by ULiège)

Bibliography


Similar publications



Contact ORBi