<p>Initially the theory of convergence in law of stochastic processes was developed quite independently from the theory of martingales, semimartingales and stochastic integrals. Apart from a few exceptions essentially concerning diffusion processes, it is only recently that the relation between the
Limit Theorems for Stochastic Processes
โ Scribed by Jean Jacod, Albert N. Shiryaev (auth.)
- Publisher
- Springer Berlin Heidelberg
- Year
- 1987
- Tongue
- English
- Leaves
- 619
- Series
- Grundlehren der mathematischen Wissenschaften 288
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Table of Contents
Front Matter....Pages I-XVII
The General Theory of Stochastic Processes, Semimartingales and Stochastic Integrals....Pages 1-63
Characteristics of Semimartingales and Processes with Independent Increments....Pages 64-128
Martingale Problems and Changes of Measures....Pages 129-190
Hellinger Processes, Absolute Continuity and Singularity of Measures....Pages 191-247
Contiguity, Entire Separation, Convergence in Variation....Pages 248-287
Skorokhod Topology and Convergence of Processes....Pages 288-347
Convergence of Processes with Independent Increments....Pages 348-414
Convergence to a Process with Independent Increments....Pages 415-479
Convergence to a Semimartingale....Pages 480-534
Limit Theorems, Density Processes and Contiguity....Pages 535-571
Back Matter....Pages 572-604
โฆ Subjects
Probability Theory and Stochastic Processes
๐ SIMILAR VOLUMES
Initially the theory of convergence in law of stochastic processes was developed quite independently from the theory of martingales, semimartingales and stochastic integrals. Apart from a few exceptions essentially concerning diffusion processes, it is only recently that the relation between the two
Limit theorems for stochastic processes are an important part of probability theory and mathematical statistics and one model that has attracted the attention of many researchers working in the area is that of limit theorems for randomly stopped stochastic processes. This volume is the first to pres