Convergence of a Power Variation Related to a Standard Brownian Sheet

초록

By using a Malliavin calculus, we prove the central limit theorem on the power variation of the product of the unordered rectangles associated with a standard Brownian sheet.

키워드

Malliavin calculus; standard Brownian sheet; Malliavin derivative; central limit theorem; power variation
제목
Convergence of a Power Variation Related to a Standard Brownian Sheet
저자
이준희; 김윤태
발행일
2010
저널명
Communications for Statistical Applications and Methods
권
17
호
5
페이지
647 ~ 652