Stochastic Processes and Orthogonal Polynomials

Stochastic Processes and Orthogonal Polynomials pdf epub mobi txt 電子書 下載2025

出版者:Springer
作者:Wim Schoutens
出品人:
頁數:197
译者:
出版時間:2000-4-27
價格:USD 109.00
裝幀:Paperback
isbn號碼:9780387950150
叢書系列:
圖書標籤:
  • stochastic
  • process
  • orthogonal
  • &
  • Stochastic Processes
  • Orthogonal Polynomials
  • Probability Theory
  • Mathematical Analysis
  • Special Functions
  • Approximation Theory
  • Asymptotic Analysis
  • Random Matrices
  • Numerical Analysis
  • Harmonic Analysis
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具體描述

The book offers an accessible reference for researchers in the probability, statistics and special functions communities. It gives a variety of interdisciplinary relations between the two main ingredients of stochastic processes and orthogonal polynomials. It covers topics like time dependent and asymptotic analysis for birth-death processes and diffusions, martingale relations for Levy processes, stochastic integrals and Stein's approximation method. Almost all well-known orthogonal polynomials, which are brought together in the so-called Askey Scheme, come into play. This volume clearly illustrates the powerful mathematical role of orthogonal polynomials in the analysis of stochastic processes and is made accessible for all mathematicians with a basic background in probability theory and mathematical analysis. Wim Schoutens is a Postdoctoral Researcher of the Fund for Scientific Research-Flanders (Belgium). He received his PhD in Science from the Catholic University of Leuven, Belgium.

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