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STOCHASTIC CALCULUS WITH HERMITE TYPE PROCESSES

Duong Ton Dam 1
Volume & Issue: Vol. 11 No. 6 (2008) | Page No.: 49-54 | DOI: 10.32508/stdj.v11i6.2648
Published: 2008-06-30

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This article is published with open access by Viet Nam National University, Ho Chi Minh City, Viet Nam. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0) which permits any use, distribution, and reproduction in any medium, provided the original author(s) and the source are credited.

Abstract

Hermite type stochastic processes are the indespensable core resulting from the well – matched couple of Wiener stochastic process and Hermite polynomials. They will construct an orthogonal base of stochastic processses space. The paper emphatically looks at bona fide nature of Ito integral and stochastic differential equations compared with those of Hermite type stochastic processes.

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