DC Field | Value | Language |
---|---|---|
dc.contributor.advisor | Choi, Bong-Dae | - |
dc.contributor.advisor | 최봉대 | - |
dc.contributor.author | Yun, Seok-Hoon | - |
dc.contributor.author | 윤석훈 | - |
dc.date.accessioned | 2011-12-14T04:57:40Z | - |
dc.date.available | 2011-12-14T04:57:40Z | - |
dc.date.issued | 1985 | - |
dc.identifier.uri | http://library.kaist.ac.kr/search/detail/view.do?bibCtrlNo=64427&flag=dissertation | - |
dc.identifier.uri | http://hdl.handle.net/10203/42275 | - |
dc.description | 학위논문(석사) - 한국과학기술원 : 응용수학과, 1985.2, [ [ii], 28, [3] p. ; ] | - |
dc.description.abstract | This paper introduces the multiple stochastic integrals with respect to martingales which are generalizations of the well-known multiple Wiener integrals constructed by K. Ito. For deterministic integrands, the space $&^p(p=2,3, ...)$ of real-valued functions defined on $[O,T]^p$ with some conditions constitutes an inner product space by virtue of the quadratic variation process of a given $L^{2p}$-martingale. We define a bounded linear operator $I_p$ from the completion of $&^p$ into $L^2(Ω,\zeta,P)$, which we shall call the multiple stochastic integral. For random integrands, we also introduce the inner product space $&^p(p=2,3,...)$ of real-valued functions defined on $[O,T]^p × Ω$ with some conditions, and we define the corresponding multiple stochastic integral as a bounded linear operator $I_p$ from the completion of $&^p$ into $L^2(Ω,\zeta,P)$. In both cases, some fundamental properties are obtained. | eng |
dc.language | eng | - |
dc.publisher | 한국과학기술원 | - |
dc.title | Multiple stochastic integrals with respect to martingales | - |
dc.title.alternative | 마아팅 게일에 관한 다중 확률 적분 | - |
dc.type | Thesis(Master) | - |
dc.identifier.CNRN | 64427/325007 | - |
dc.description.department | 한국과학기술원 : 응용수학과, | - |
dc.identifier.uid | 000831252 | - |
dc.contributor.localauthor | Choi, Bong-Dae | - |
dc.contributor.localauthor | 최봉대 | - |
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