Fundamentals of Mathematical Statistics

Lauritzen, Steffen

Fundamentals of Mathematical Statistics
  • 出版商: CRC
  • 出版日期: 2023-04-17
  • 售價: $3,560
  • 貴賓價: 9.5 折 $3,382
  • 語言: 英文
  • 頁數: 258
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 1032223820
  • ISBN-13: 9781032223827
  • 相關分類: 機率統計學 Probability-and-statistics

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商品描述

Fundamentals of Mathematical Statistics is meant for a standard one-semester advanced undergraduate or graduate level course on Mathematical Statistics. It covers all the key topics - statistical models, linear normal models, exponential families, estimation, asymptotics of maximum likelihood, significance testing, and models for tables of counts. It assumes a good background in mathematical analysis, linear algebra, and probability, but includes an appendix with basic results from these areas. Throughout the text, there are numerous examples and graduated exercises that illustrate the topics covered, rendering the book suitable for teaching or self-study.

Features:

  • A concise yet rigorous introduction to a one-semester course on mathematical statistics
  • Covers all the key topics
  • Assumes a solid background in mathematics and probability
  • Numerous examples illustrate the topics
  • Many exercises enhance understanding of the material and enable course use

This textbook will be a perfect fit for an advanced course on mathematical statistics or statistical theory. The concise and lucid approach means it could also serve as a good alternative, or supplement, to existing texts.

商品描述(中文翻譯)

《數理統計基礎》是一本針對高年級本科生或研究生的數理統計課程的標準教材。它涵蓋了所有關鍵主題，包括統計模型、線性正態模型、指數族、估計、最大概似測試的漸近性、顯著性檢驗以及計數表的模型。本書假設讀者具備良好的數學分析、線性代數和概率背景，但附錄中也包含了這些領域的基本結果。全書中有大量的例子和漸進練習，以說明所涵蓋的主題，使得本書適合教學或自學。

特點：
- 簡潔而嚴謹的介紹一學期的數理統計課程
- 涵蓋所有關鍵主題
- 假設讀者具備扎實的數學和概率背景
- 大量的例子說明主題
- 許多練習提高對材料的理解並支持課程使用

這本教科書非常適合高級數理統計或統計理論課程。其簡潔而清晰的方法也使其成為現有教材的良好替代品或補充教材。

作者簡介

Steffen Lauritzen is Emeritus Professor of Statistics at the University of Copenhagen and the University of Oxford as well as Honorary Professor at Aalborg University. He is most well-known for his work on graphical models, in particular represented in a monograph from 1996 with that title, but he has published in a wide range of topics. He has received numerous awards and honours, including the Guy Medal in Silver from the Royal Statistical Society, where he also is an Honorary Fellow. He was elected to the Royal Danish Academy of Sciences and Letters in 2008 and became a Fellow of the Royal Society in 2011.

作者簡介(中文翻譯)

Steffen Lauritzen是哥本哈根大學和牛津大學的名譽統計學教授，也是奧爾堡大學的名譽教授。他最著名的是他在圖形模型方面的研究，特別是在1996年出版的同名專著中有所體現，但他也在各種主題上發表了許多論文。他獲得了許多獎項和榮譽，包括英國皇家統計學會的銀牌獎章，他也是該學會的名譽會士。他於2008年當選為丹麥皇家科學與文學學院院士，並於2011年成為英國皇家學會的院士。

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