Stochastic Processes: An Introduction, 2/e
暫譯: 隨機過程:入門(第二版)

Peter Watts Jones, Peter Smith

  • 出版商: Springer
  • 出版日期: 2009-10-11
  • 售價: $3,550
  • 貴賓價: 9.5$3,373
  • 語言: 英文
  • 頁數: 232
  • 裝訂: Paperback
  • ISBN: 1420099604
  • ISBN-13: 9781420099607
  • 海外代購書籍(需單獨結帳)

買這商品的人也買了...

相關主題

商品描述

Based on a highly popular, well-established course taught by the authors, Stochastic Processes: An Introduction, Second Edition discusses the modeling and analysis of random experiments using the theory of probability. It focuses on the way in which the results or outcomes of experiments vary and evolve over time.

The text begins with a review of relevant fundamental probability. It then covers several basic gambling problems, random walks, and Markov chains. The authors go on to develop random processes continuous in time, including Poisson, birth and death processes, and general population models. While focusing on queues, they present an extended discussion on the analysis of associated stationary processes. The book also explores reliability and other random processes, such as branching processes, martingales, and a simple epidemic. The appendix contains key mathematical results for reference.

Ideal for a one-semester course on stochastic processes, this concise, updated textbook makes the material accessible to students by avoiding specialized applications and instead highlighting simple applications and examples. The associated website contains Mathematica® and R programs that offer flexibility in creating graphs and performing computations.

商品描述(中文翻譯)

基於作者教授的一門非常受歡迎且成熟的課程,《隨機過程:第二版》討論了使用概率理論對隨機實驗進行建模和分析。它專注於實驗結果或結果隨時間變化和演變的方式。

本書首先回顧了相關的基本概率知識。接著涵蓋了幾個基本的賭博問題、隨機漫步和馬可夫鏈。作者進一步發展了隨時間連續的隨機過程,包括泊松過程、出生與死亡過程以及一般人口模型。在專注於排隊理論的同時,他們對相關的平穩過程的分析進行了擴展討論。本書還探討了可靠性及其他隨機過程,如分支過程、馬丁蓋爾和簡單的流行病。附錄中包含了關鍵的數學結果以供參考。

本書非常適合用於一學期的隨機過程課程,這本簡明且更新的教科書通過避免專業應用而強調簡單的應用和例子,使學生能夠輕鬆理解材料。相關網站包含了 Mathematica® 和 R 程式,提供了創建圖形和執行計算的靈活性。