Mathematical Statistics with Applications in R
暫譯: R 應用數理統計學

Ramachandran, Kandethody M., Tsokos, Chris P.

商品描述

Mathematical Statistics with Applications in R, Fourth Edition offers a modern calculus-based theoretical introduction to mathematical statistics and applications that spans numerous foundational and essential concepts in the field. The book covers many modern statistical computational and simulation concepts, including Exploratory Data Analysis, the Jackknife, bootstrap methods, the EM algorithms, and Markov chain Monte Carlo (MCMC) methods such as the Metropolis algorithm, Metropolis-Hastings algorithm and the Gibbs sampler. The final chapter of the book provides a step-by-step approach to modelling, analysis, and interpretation data from real-world applications, from the environment and cyber security to health and finance.

By combining discussion on the theory of statistics with a wealth of engaging, real-world applications, this book helps students approach statistical problem-solving in a logical manner with accessible, step-by-step procedures on relatable topics. Computational aspects are covered through R and SAS examples.

商品描述(中文翻譯)

《Mathematical Statistics with Applications in R, Fourth Edition》以現代微積分為基礎,介紹數理統計的理論與應用,涵蓋此領域中眾多基礎且重要的概念。本書探討許多現代統計計算與模擬概念,包括探索性資料分析(Exploratory Data Analysis)、Jackknife、bootstrap 方法、EM 演算法,以及 Markov chain Monte Carlo(MCMC)方法,例如 Metropolis 演算法、Metropolis-Hastings 演算法和 Gibbs sampler。書籍最後一章以循序漸進的方式,說明如何針對來自真實世界應用的資料進行建模、分析與解讀,涵蓋環境、網路安全、醫療保健及金融等領域。

本書將統計理論的討論與豐富且引人入勝的真實世界應用相結合,透過貼近讀者的主題與易於理解、循序漸進的步驟,協助學生以合乎邏輯的方式處理統計問題。書中並透過 R 與 SAS 範例介紹計算相關內容。