Theory of Martingales [Paperback]

I.- 1. Basic Concepts and the Review of Results of ?The General Theory of Stochastic Processes?.- 2. Semimartingales. I. Stochastic Integral.- 3. Random Measures and their Compensators.- 4. Semimartingales. II Canonical Representation.- II.- 5. Weak Convergence of Finite-Dimensional Distributions of Semimartingales to Distributions of Processes with Conditionally Independent Increments.- 6. The Space D. Relative Compactness of Probability Distributions of Semimartingales.- 7. Weak Convergence of Distributions of Semimartingales to Distributions of Processes with Conditionally Independent Increments.- 8. Weak Convergence of Distributions of Semimartingales to the Distribution of a Semimartingale.- III.- 9. Invariance Principle and Diffusion Approximation for Models Generated by Stationary Processes.- 10. Diffusion Approximation for Semimartingales with a Normal Reflexion in a Convex Region.- Historic-Bibliographical notes.