Spectral approximation of infinite-dimensional Black-Scholes equations with memory.
Chang, Mou-Hsiung, Youree, Roger K. (2009)
Journal of Applied Mathematics and Stochastic Analysis
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Chang, Mou-Hsiung, Youree, Roger K. (2009)
Journal of Applied Mathematics and Stochastic Analysis
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Zähle, Henryk (2008)
Journal of Applied Mathematics and Stochastic Analysis
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Miguel A. Arcones (2004)
ESAIM: Probability and Statistics
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We study the large deviation principle for stochastic processes of the form , where is a sequence of i.i.d.r.v.’s with mean zero and . We present necessary and sufficient conditions for the large deviation principle for these stochastic processes in several situations. Our approach is based in showing the large deviation principle of the finite dimensional distributions and an exponential asymptotic equicontinuity condition. In order to get the exponential asymptotic equicontinuity...
Bass, Richard F., Perkins, Edwin A. (2004)
Electronic Journal of Probability [electronic only]
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Balachandran, K., Kim, J.-H. (2006)
Journal of Applied Mathematics and Stochastic Analysis
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Liu, Yue, Meng, Xuejing, Wu, Fuke (2010)
International Journal of Stochastic Analysis
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Chi-Kwong Li, Wing-Keung Wong (1999)
RAIRO - Operations Research - Recherche Opérationnelle
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Neammanee, K. (2005)
International Journal of Mathematics and Mathematical Sciences
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Svetlana Janković (1998)
Zbornik Radova
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Zhongxue, Lü, Hongzheng, Xie (2002)
International Journal of Mathematics and Mathematical Sciences
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Lejay, Antoine (2002)
Electronic Journal of Probability [electronic only]
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Peter Jaeger (2017)
Formalized Mathematics
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We start with the definition of stopping time according to [4], p.283. We prove, that different definitions for stopping time can coincide. We give examples of stopping time using constant-functions or functions defined with the operator max or min (defined in [6], pp.37–38). Finally we give an example with some given filtration. Stopping time is very important for stochastic finance. A stopping time is the moment, where a certain event occurs ([7], p.372) and can be used together with...