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A note on Ito formula for fractional Brownian sheet with Hurst parameters H(1), H(2) is an element of (0,1)

Authors
Kim, Yoon TaeRhee, Joonhee
Issue Date
Dec-2008
Publisher
KOREAN STATISTICAL SOC
Keywords
Fractional Brownian sheet; Ito formula; Fractional white noise
Citation
JOURNAL OF THE KOREAN STATISTICAL SOCIETY, v.37, no.4, pp.349 - 354
Journal Title
JOURNAL OF THE KOREAN STATISTICAL SOCIETY
Volume
37
Number
4
Start Page
349
End Page
354
URI
http://scholarworks.bwise.kr/ssu/handle/2018.sw.ssu/16757
DOI
10.1016/j.jkss.2008.02.005
ISSN
1226-3192
Abstract
By using the white noise theory for fractional Brownian sheet, we give a new proof of the Ito formula for fractional Brownian sheet with arbitrary Hurst parameters H(1), H(2) is an element of (0, 1). Our proof is based on the repeated application of the Ito formulas for one-parameter Gaussian process. (C) 2008 The Korean Statistical Society. Published by Elsevier B.V. All rights reserved.
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