Non symmetric Rosenblatt process over a compact

Araya H.; Garzón J.; Roa T.

Keywords: similarity, 60G12; 60G18; 62M86; Least square estimation; Wiener chaos; non symmetric Rosenblatt process; self

Abstract

In this short note, we give the representation of the non symmetric Rosenblatt process as a Wiener–Itô multiple integral with respect to the Brownian motion on a finite interval. Based on this representation, we obtain a least square-type estimator for an unknown parameter of the drift coefficient of a simple model driven by the non symmetric Rosenblatt process.

Más información

Título según WOS: Non symmetric Rosenblatt process over a compact
Título según SCOPUS: Non symmetric Rosenblatt process over a compact
Título de la Revista: Communications in Statistics - Theory and Methods
Volumen: 50
Número: 23
Editorial: Bellwether Publishing, Ltd.
Fecha de publicación: 2021
Página final: 5529
Idioma: English
DOI:

10.1080/03610926.2020.1734830

Notas: ISI, SCOPUS