**Advanced Stochastic Processes**

by Jan A. Van Casteren

**Publisher**: Bookboon 2013**ISBN-13**: 9788740303988**Number of pages**: 404

**Description**:

In this book, which is basically self-contained, the following topics are treated thoroughly: Brownian motion as a Gaussian process, Brownian motion as a Markov process, Brownian motion as a martingale, Markov chains, renewal theory, the martingale problem, Ito calculus, cylindrical measures, ergodic theory, etc.

Download or read it online for free here:

**Download link 1**

**Download link 2**

(multiple PDF files)

## Similar books

**Lectures on Stochastic Differential Equations and Malliavin Calculus**

by

**S. Watanabe**-

**Tata Institute of Fundamental Research**

The author's main purpose in these lectures was to study solutions of stochastic differential equations as Wiener functionals and apply to them some infinite dimensional functional analysis. This idea was due to P. Malliavin.

(

**10471**views)

**Applied Stochastic Processes in Science and Engineering**

by

**Matt Scott**-

**University of Waterloo**

This book is designed as an introduction to the ideas and methods used to formulate mathematical models of physical processes in terms of random functions. A senior undergraduate course offered to students with a suitably mathematical background.

(

**8385**views)

**Stochastic Differential Equations: Models and Numerics**

by

**Anders Szepessy, et al.**-

**KTH**

The goal of this course is to give useful understanding for solving problems formulated by stochastic differential equations models in science, engineering and finance. Typically, these problems require numerical methods to obtain a solution.

(

**8081**views)

**Probability Theory and Stochastic Processes with Applications**

by

**Oliver Knill**-

**Overseas Press**

This text covers material of a basic probability course, discrete stochastic processes including Martingale theory, continuous time stochastic processes like Brownian motion and stochastic differential equations, estimation theory, and more.

(

**12407**views)