Introduction to Probability, Statistics, and Random Processes (Paperback)
暫譯: 機率、統計與隨機過程導論(平裝本)
Hossein Pishro-Nik
- 出版商: Kappa Research, LLC
- 出版日期: 2014-08-24
- 定價: $1,800
- 售價: 9.5 折 $1,710
- 語言: 英文
- 頁數: 744
- 裝訂: Paperback
- ISBN: 0990637204
- ISBN-13: 9780990637202
-
相關分類:
機率統計學 Probability-and-statistics
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相關主題
商品描述
This book introduces students to probability, statistics, and stochastic processes. It can be used by both students and practitioners in engineering, various sciences, finance, and other related fields. It provides a clear and intuitive approach to these topics while maintaining mathematical accuracy.
The book covers:
- Basic concepts such as random experiments, probability axioms, conditional probability, and counting methods
- Single and multiple random variables (discrete, continuous, and mixed), as well as moment-generating functions, characteristic functions, random vectors, and inequalities
- Limit theorems and convergence
- Introduction to Bayesian and classical statistics
- Random processes including processing of random signals, Poisson processes, discrete-time and continuous-time Markov chains, and Brownian motion
- Simulation using MATLAB and R (online chapters)
The book contains a large number of solved exercises. The dependency between different sections of this book has been kept to a minimum in order to provide maximum flexibility to instructors and to make the book easy to read for students. Examples of applications—such as engineering, finance, everyday life, etc.—are included to aid in motivating the subject. The digital version of the book, as well as additional materials such as videos, is available at www.probabilitycourse.com.
商品描述(中文翻譯)
這本書介紹了機率、統計和隨機過程。它適合工程、各種科學、金融及其他相關領域的學生和從業者使用。書中提供了清晰且直觀的方法來探討這些主題,同時保持數學的準確性。
本書涵蓋的內容包括:
- 基本概念,如隨機實驗、機率公理、條件機率和計數方法
- 單一和多重隨機變數(離散、連續和混合),以及矩生成函數、特徵函數、隨機向量和不等式
- 極限定理和收斂
- 貝葉斯統計和古典統計的介紹
- 隨機過程,包括隨機信號處理、泊松過程、離散時間和連續時間馬可夫鏈,以及布朗運動
- 使用 MATLAB 和 R 進行模擬(線上章節)
本書包含大量已解答的練習題。為了提供最大靈活性給教師並使學生易於閱讀,本書不同章節之間的依賴性已降至最低。書中還包含應用範例,如工程、金融、日常生活等,以幫助激發學習興趣。本書的數位版本以及額外的材料,如影片,可在 www.probabilitycourse.com 獲得。