On anticipated backward stochastic differential equations with Markov chain noise
Date
2016
Authors
Yang, Z.
Elliott, R.
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Journal article
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Stochastic Analysis and Applications, 2016; 34(5):749-799
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Zhe Yang and Robert J. Elliott
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Abstract
In 2013, Lu and Ren considered anticipated backward stochastic differential equations driven by finite state, continuous time Markov chain noise and established the existence and uniqueness of the solutions of these equations and a scalar comparison theorem. In this article, we provide an estimate for their solutions and study the duality between these equations and stochastic differential delayed equations with Markov chain noise. Finally, we derive another comparison theorem for these solutions depending only on the two drivers.
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© 2016 Taylor & Francis Group, LLC