Probability Theory: A First Course in Probability Theory and Statistics
暫譯: 機率論:機率論與統計的入門課程

Linde, Werner

  • 出版商: de Gruyter
  • 出版日期: 2024-06-04
  • 售價: $3,180
  • 貴賓價: 9.5$3,021
  • 語言: 英文
  • 頁數: 500
  • 裝訂: Quality Paper - also called trade paper
  • ISBN: 3111324842
  • ISBN-13: 9783111324845
  • 相關分類: 機率統計學 Probability-and-statistics
  • 海外代購書籍(需單獨結帳)

相關主題

商品描述

This book is intended as an introduction to Probability Theory and Mathematical Statistics for students in mathematics, the physical sciences, engineering, and related fields. It is based on the author's 25 years of experience teaching probability and is squarely aimed at helping students overcome common difficulties in learning the subject. The focus of the book is an explanation of the theory, mainly by the use of many examples. Whenever possible, proofs of stated results are provided. All sections conclude with a short list of problems. The book also includes several optional sections on more advanced topics. This textbook would be ideal for use in a first course in Probability Theory. Contents: ProbabilitiesConditional Probabilities and IndependenceRandom Variables and Their DistributionOperations on Random VariablesExpected Value, Variance, and CovarianceNormally Distributed Random VectorsLimit Theorems Introduction to Stochastic ProcessesMathematical StatisticsAppendixBibliographyIndex

商品描述(中文翻譯)

本書旨在為數學、物理科學、工程及相關領域的學生介紹機率論和數理統計。該書基於作者25年的機率教學經驗,專注於幫助學生克服學習該主題時常見的困難。書中的重點是對理論的解釋,主要透過許多範例來進行說明。每當可能時,會提供所述結果的證明。所有章節結尾都有一小段問題列表。本書還包括幾個關於更高級主題的選修章節。這本教科書非常適合用作機率論的第一門課程。

內容:
- 機率
- 條件機率與獨立性
- 隨機變數及其分佈
- 隨機變數的運算
- 期望值、變異數與協方差
- 正態分佈的隨機向量
- 極限定理
- 隨機過程簡介
- 數理統計
- 附錄
- 參考文獻
- 索引

作者簡介

Werner Linde studied Mathematics at the University of Jena, where he became Professor in 1989. He had several visiting positions, i.a. in Madrid, Knoxville, Paris VI and in Lille. From 2013 till 2018 he taught at the University of Delaware. Since that time, he is Emeritus at the University of Jena. Published about 70 mathematical papers and is author of 5 textbooks.

作者簡介(中文翻譯)

沃納·林德(Werner Linde)在耶拿大學(University of Jena)學習數學,並於1989年成為教授。他曾在多個地方擔任訪問職位,包括馬德里、諾克斯維爾、巴黎六大和里爾。從2013年到2018年,他在德拉瓦大學(University of Delaware)任教。自那時起,他成為耶拿大學的名譽教授。他發表了約70篇數學論文,並著有5本教科書。