Robust Statistics, 2/e (Hardcover)
暫譯: 穩健統計學, 第2版 (精裝本)

Peter J. Huber, Elvezio M. Ronchetti

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商品描述

A new edition of the classic, groundbreaking book on robust statistics

Over twenty-five years after the publication of its predecessor, Robust Statistics, Second Edition continues to provide an authoritative and systematic treatment of the topic. This new edition has been thoroughly updated and expanded to reflect the latest advances in the field while also outlining the established theory and applications for building a solid foundation in robust statistics for both the theoretical and the applied statistician.

A comprehensive introduction and discussion on the formal mathematical background behind qualitative and quantitative robustness is provided, and subsequent chapters delve into basic types of scale estimates, asymptotic minimax theory, regression, robust covariance, and robust design. In addition to an extended treatment of robust regression, the Second Edition features four new chapters covering:

  • Robust Tests

  • Small Sample Asymptotics

  • Breakdown Point

  • Bayesian Robustness

An expanded treatment of robust regression and pseudo-values is also featured, and concepts, rather than mathematical completeness, are stressed in every discussion. Selected numerical algorithms for computing robust estimates and convergence proofs are provided throughout the book, along with quantitative robustness information for a variety of estimates. A General Remarks section appears at the beginning of each chapter and provides readers with ample motivation for working with the presented methods and techniques.

Robust Statistics, Second Edition is an ideal book for graduate-level courses on the topic. It also serves as a valuable reference for researchers and practitioners who wish to study the statistical research associated with robust statistics.

商品描述(中文翻譯)

經典且開創性的穩健統計學新版本

在其前作《Robust Statistics》出版二十五年後,第二版繼續提供該主題的權威性和系統性處理。這一新版本已全面更新和擴展,以反映該領域的最新進展,同時概述了建立穩健統計學的理論和應用的基礎,適合理論和應用統計學家。

本書提供了對質性和量性穩健性的正式數學背景的全面介紹和討論,隨後的章節深入探討基本的尺度估計類型、漸近最小最大理論、迴歸、穩健協方差和穩健設計。除了對穩健迴歸的擴展處理外,第二版還新增了四個章節,涵蓋:



  • 穩健檢定




  • 小樣本漸近性




  • 崩潰點




  • 貝葉斯穩健性



本書還擴展了對穩健迴歸和偽值的處理,每個討論中強調概念而非數學的完整性。全書提供了計算穩健估計和收斂證明的選定數值算法,以及各種估計的量化穩健性信息。每章的開頭都有一個一般性說明部分,為讀者提供了充分的動機來使用所呈現的方法和技術。

Robust Statistics,第二版是研究該主題的研究生課程的理想書籍。它也作為研究人員和實務工作者的寶貴參考,適合希望研究與穩健統計相關的統計研究的人士。