Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5129828 | Statistics & Probability Letters | 2017 | 8 Pages |
Abstract
Elements of the stochastic calculus of optional semimartingales are presented. A solution of the nonhomogeneous and general linear stochastic equations is given in this framework. Also, the Gronwall inequality is derived. Furthermore, a theory of martingale transforms and examples of applications to mathematical finance are presented.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Statistics and Probability
Authors
Mohamed N. Abdelghani, Alexander V. Melnikov,