Fundamental Theorem of Calculus for the Backwards Ito Integral

In this paper, a definition of backwards stochastic differentiation is introduced. A necessary and sufficient set of conditions for backwards Ito integration and differentiation to be reversible processes is given. Backwards Ito integration is defined using the generalized Riemann approach.

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Main Authors: Arcede, Jayrold, Cabral, Emmanuel A
Format: text
Published: Archīum Ateneo 2011
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Online Access:https://archium.ateneo.edu/mathematics-faculty-pubs/89
http://www.cabralea.com/uploads/1/3/2/1/13217737/ftc_for_backwards_ito.pdf
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Institution: Ateneo De Manila University
id ph-ateneo-arc.mathematics-faculty-pubs-1088
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spelling ph-ateneo-arc.mathematics-faculty-pubs-10882020-06-18T07:02:33Z Fundamental Theorem of Calculus for the Backwards Ito Integral Arcede, Jayrold Cabral, Emmanuel A In this paper, a definition of backwards stochastic differentiation is introduced. A necessary and sufficient set of conditions for backwards Ito integration and differentiation to be reversible processes is given. Backwards Ito integration is defined using the generalized Riemann approach. 2011-01-01T08:00:00Z text https://archium.ateneo.edu/mathematics-faculty-pubs/89 http://www.cabralea.com/uploads/1/3/2/1/13217737/ftc_for_backwards_ito.pdf Mathematics Faculty Publications Archīum Ateneo Backwards Ito integral Backwards L2-martingale AC2 - property Mathematics
institution Ateneo De Manila University
building Ateneo De Manila University Library
country Philippines
collection archium.Ateneo Institutional Repository
topic Backwards Ito integral
Backwards L2-martingale
AC2 - property
Mathematics
spellingShingle Backwards Ito integral
Backwards L2-martingale
AC2 - property
Mathematics
Arcede, Jayrold
Cabral, Emmanuel A
Fundamental Theorem of Calculus for the Backwards Ito Integral
description In this paper, a definition of backwards stochastic differentiation is introduced. A necessary and sufficient set of conditions for backwards Ito integration and differentiation to be reversible processes is given. Backwards Ito integration is defined using the generalized Riemann approach.
format text
author Arcede, Jayrold
Cabral, Emmanuel A
author_facet Arcede, Jayrold
Cabral, Emmanuel A
author_sort Arcede, Jayrold
title Fundamental Theorem of Calculus for the Backwards Ito Integral
title_short Fundamental Theorem of Calculus for the Backwards Ito Integral
title_full Fundamental Theorem of Calculus for the Backwards Ito Integral
title_fullStr Fundamental Theorem of Calculus for the Backwards Ito Integral
title_full_unstemmed Fundamental Theorem of Calculus for the Backwards Ito Integral
title_sort fundamental theorem of calculus for the backwards ito integral
publisher Archīum Ateneo
publishDate 2011
url https://archium.ateneo.edu/mathematics-faculty-pubs/89
http://www.cabralea.com/uploads/1/3/2/1/13217737/ftc_for_backwards_ito.pdf
_version_ 1681506678480044032