There is a strong upsurge in the use of Bayesian methods in applied statistical analysis, yet most introductory statistics texts only present frequentist methods. Bayesian statistics has many important advantages that students should learn about if they are going into fields where statistics will be used. In this third Edition, four newly-added chapters address topics that reflect the rapid advances in the field of Bayesian statistics. The authors continue to provide a Bayesian treatment of introductory statistical topics, such as scientific data gathering, discrete random variables, robust Bayesian methods, and Bayesian approaches to inference for discrete random variables, binomial proportions, Poisson, and normal means, and simple linear regression. In addition, more advanced topics in the field are presented in four new chapters: Bayesian inference for a normal with unknown mean and variance; Bayesian inference for a Multivariate Normal mean vector; Bayesian inference for the Multiple Linear Regression Model; and Computational Bayesian Statistics including Markov Chain Monte Carlo. The inclusion of these topics will facilitate readers' ability to advance from a minimal understanding of Statistics to the ability to tackle topics in more applied, advanced level books. Minitab macros and R functions are available on the book's related website to assist with chapter exercises. Introduction to Bayesian Statistics, Third Edition also features:
Topics including the Joint Likelihood function and inference using independent Jeffreys priors and join conjugate prior The cutting-edge topic of computational Bayesian Statistics in a new chapter, with a unique focus on Markov Chain Monte Carlo methods Exercises throughout the book that have been updated to reflect new applications and the latest software applications Detailed appendices that guide readers through the use of R and Minitab software for Bayesian analysis and Monte Carlo simulations, with all related macros available on the book's website
Introduction to Bayesian Statistics, Third Edition is a textbook for upper-undergraduate or first-year graduate level courses on introductory statistics course with a Bayesian emphasis. It can also be used as a reference work for statisticians who require a working knowledge of Bayesian statistics.
From the Back Cover
"...this edition is useful and effective in teaching Bayesian inference at both elementary and intermediate levels. It is a well-written book on elementary Bayesian inference, and the material is easily accessible. It is both concise and timely, and provides a good collection of overviews and reviews of important tools used in Bayesian statistical methods." There is a strong upsurge in the use of Bayesian methods in applied statistical analysis, yet most introductory statistics texts only present frequentist methods. Bayesian statistics has many important advantages that students should learn about if they are going into fields where statistics will be used. In this third Edition, four newly-added chapters address topics that reflect the rapid advances in the field of Bayesian statistics. The authors continue to provide a Bayesian treatment of introductory statistical topics, such as scientific data gathering, discrete random variables, robust Bayesian methods, and Bayesian approaches to inference for discrete random variables, binomial proportions, Poisson, and normal means, and simple linear regression. In addition, more advanced topics in the field are presented in four new chapters: Bayesian inference for a normal with unknown mean and variance; Bayesian inference for a Multivariate Normal mean vector; Bayesian inference for the Multiple Linear Regression Model; and Computational Bayesian Statistics including Markov Chain Monte Carlo. The inclusion of these topics will facilitate readers' ability to advance from a minimal understanding of Statistics to the ability to tackle topics in more applied, advanced level books. Minitab macros and R functions are available on the book's related website to assist with chapter exercises. Introduction to Bayesian Statistics, Third Edition also features: Topics including the Joint Likelihood function and inference using independent Jeffreys priors and join conjugate prior The cutting-edge topic of computational Bayesian Statistics in a new chapter, with a unique focus on Markov Chain Monte Carlo methods Exercises throughout the book that have been updated to reflect new applications and the latest software applications Detailed appendices that guide readers through the use of R and Minitab software for Bayesian analysis and Monte Carlo simulations, with all related macros available on the book's website Introduction to Bayesian Statistics, Third Edition is a textbook for upper-undergraduate or first-year graduate level courses on introductory statistics course with a Bayesian emphasis. It can also be used as a reference work for statisticians who require a working knowledge of Bayesian statistics.
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About the Author
WILLIAM M. BOLSTAD, PhD, is a retired Senior Lecturer in the Department of Statistics at The University of Waikato, New Zealand. Dr. Bolstad's research interests include Bayesian statistics, MCMC methods, recursive estimation techniques, multiprocess dynamic time series models, and forecasting. He is author of Understanding Computational Bayesian Statistics, also published by Wiley. JAMES M. CURRAN is a Professor of Statistics in the Department of Statistics at the University of Auckland, New Zealand. Professor Curran’s research interests include the statistical interpretation of forensic evidence, statistical computing, experimental design, and Bayesian statistics. He is the author of two other books including Introduction to Data Analysis with R for Forensic Scientists, published by Taylor and Francis through its CRC brand.
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我必須指齣,這本書在案例分析方麵的選擇極其齣色,充分體現瞭其應用導嚮的特質。很多統計教材的案例往往局限於教科書式的、略顯陳舊的例子,但這本書似乎更關注當代科學研究的前沿問題。無論是生物信息學中的基因調控網絡推斷,還是金融領域中的風險價值評估,那些復雜的、真實世界的數據集被巧妙地整閤到教學流程中。更重要的是,作者不僅展示瞭如何應用模型,更深入探討瞭模型選擇和模型診斷的重要性。他們會引導讀者思考:“這個模型真的適閤我們正在研究的問題嗎?”以及“我們如何知道MCMC采樣齣來的結果是可信的?”這種批判性思維的培養,遠比單純掌握公式推導來得寶貴。它教會我,統計學不是一個封閉的工具箱,而是一個需要持續質疑和改進的動態過程。
评分這本書的封麵設計簡潔而富有力量感,那種深邃的藍色調仿佛能將人帶入一個充滿數學美感的知識海洋。初次翻開時,我立刻被其清晰的章節劃分和循序漸進的講解方式所吸引。作者在構建理論框架時,似乎非常注重讀者的接受過程,每一個新的概念都不是憑空齣現的,而是緊密地建立在前一個知識點之上。舉例來說,對於概率分布的引入,它不像某些教科書那樣直接堆砌復雜的數學公式,而是通過一係列貼近現實生活的小故事或情景模擬,讓讀者在不知不覺中理解瞭貝葉斯思想的精髓所在——即如何根據新信息更新我們原有的信念。這種教學方法極大地降低瞭初學者的畏難情緒,讓人感覺學習統計學並非遙不可及的學術任務,而更像是一場有趣的邏輯推理遊戲。尤其是對於那些對傳統頻率學派統計學感到睏惑的人來說,這本書提供瞭一個全新的、更具直覺性的視角來審視數據和不確定性。
评分這本書的排版和裝幀質量也值得稱贊,這是閱讀體驗中不容忽視的一部分。清晰的字體選擇、恰到好處的行間距,使得長時間的閱讀也不會産生強烈的視覺疲勞。圖錶的製作更是精良,那些用來闡釋後驗分布、模型對比或收斂診斷的圖形,不僅信息量大,而且設計美觀、一目瞭然。我很少遇到一本數學類書籍能在保持專業性的同時,還能如此注重視覺的友好性。特彆是那些推導過程中的數學符號,它們被放置在頁麵的黃金分割點上,避免瞭擁擠和混亂,保證瞭閱讀的節奏感。這種對細節的關注,無疑反映瞭作者和齣版方對讀者體驗的尊重,使得學習麯綫變得更加平滑和愉悅。
评分這本書的論述風格可謂是獨樹一幟,它兼具瞭嚴謹的學術深度和令人愉悅的敘事流暢性。我特彆欣賞作者在處理復雜數學推導時所展現齣的耐心和細膩。他們沒有簡單地跳過那些關鍵的證明步驟,而是像一位經驗豐富的導師那樣,耐心地拆解每一個數學操作背後的直覺含義。例如,在講解馬爾可夫鏈濛特卡洛(MCMC)方法時,書中沒有直接給齣復雜的收斂性定理,而是通過生動的比喻,比如“迷路的小探險傢尋找寶藏”的場景,將復雜的采樣過程可視化。這使得即便是對計算統計不太熟悉的讀者,也能抓住其核心思想——即如何有效地探索高維參數空間。這種對教學藝術的極緻追求,使得這本書不僅僅是一本參考手冊,更像是一本可以陪伴學習者成長的良師益友。讀完特定章節後,常常會有一種豁然開朗的感覺,仿佛心中的迷霧被輕輕撥開,留下瞭清晰的認知路徑。
评分從一個更宏觀的角度來看,這本書成功地將貝葉斯方法論的哲學基礎與其實際操作技巧完美地融閤在一起。它不僅僅是教會你如何“計算”貝葉斯估計,更深刻地探討瞭“為什麼”要選擇貝葉斯框架。作者對主觀概率和客觀概率之間微妙關係的闡述,對先驗信息在決策製定中的作用的探討,都極大地拓寬瞭我的思維邊界。讀完此書,我感覺自己不僅僅是掌握瞭一套新的統計工具,更像是獲得瞭一種看待世界和處理不確定性的全新世界觀。它鼓勵讀者擁抱不確定性,並將其視為信息的一部分,而非需要被消除的噪音。對於任何希望深入理解現代數據科學和推斷性統計學核心思想的人來說,這本書提供瞭一個堅實、全麵且富有洞察力的起點。
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