登入
選單
返回
Google圖書搜尋
Topics in Stochastic Processes
Robert B. Ash
Melvin F. Gardner
其他書名
Probability and Mathematical Statistics: A Series of Monographs and Textbooks
出版
Academic Press
, 2014-06-20
主題
Mathematics / Applied
Mathematics / Probability & Statistics / General
Mathematics / General
ISBN
1483191435
9781483191430
URL
http://books.google.com.hk/books?id=z4biBQAAQBAJ&hl=&source=gbs_api
EBook
SAMPLE
註釋
Topics in Stochastic Processes covers specific processes that have a definite physical interpretation and that explicit numerical results can be obtained. This book contains five chapters and begins with the L2 stochastic processes and the concept of prediction theory. The next chapter discusses the principles of ergodic theorem to real analysis, Markov chains, and information theory. Another chapter deals with the sample function behavior of continuous parameter processes. This chapter also explores the general properties of Martingales and Markov processes, as well as the one-dimensional Brownian motion. The aim of this chapter is to illustrate those concepts and constructions that are basic in any discussion of continuous parameter processes, and to provide insights to more advanced material on Markov processes and potential theory. The final chapter demonstrates the use of theory of continuous parameter processes to develop the Itô stochastic integral. This chapter also provides the solution of stochastic differential equations. This book will be of great value to mathematicians, engineers, and physicists.