

NEW SECTIONS ARE REALLY USEFUL
Great Stats Book for Both Beginners and Pros

Very readable introduction
A good book where there are fewFor some time now, users have had to make do with S-PLUS books which contained some overlap with R. Now R users have a book they can call their own. After briefly discussing the R system and the language basics, Dalgaard goes through what might be covered in an advanced undergraduate data analysis course. Throughout the book, code examples and output are carefully interspersed so that the reader doesn't go too long without having a concrete example.
Dalgaard leaves out some advanced topics such as time series, spatial statistics, etc. (some of which are nicely covered in Modern Applied Statistics with S by Venables and Ripley) but that is probably for the best. The book is not bloated, nicely priced and I would recommend it to any advanced undergrad or first year grad student wanting to learn how to do statistical analysis in R.


A well-written book on a difficult subjectOne especially good feature of this book is the wealth of examples it contains, especially those examples of most relevance to string theory. (Where K-theory is finding some of its most interesting applications today) A wide range of subjects such as "topological" K-theory (the K-theory of gauge fields) and supersymmetry (referred to as "grading," following mathematicians' notation) round out this presentation of one of the most exciting subjects on the border of mathematics and physics.
A difficult book on a difficult subject"Elements of KK-theory" by K. K. Jensen and K. Thomsen is good introduction too.


good treatment but new book is better
Associate Professor of Epidemiology

reprint of classic workCramer put together the standard reference on mathematical statistics which is still valuable today. This is the type of book to be enjoyed by mathematical statisticians looking at it from a historical perspective. Recent advances require those who need a modern course to study other texts.
A Statistical Toure de ForceIt begins with an introduction to the theory of integration and measures, assuming no more than a working knowledge of calculus, and is one of the best introductory expositions of measure theory available.
The second part of the book is on statistical inference, and follows the three giants of modern statistics, Fisher, Neyman and Pearson. Cramér explains the difficult subjects of confidence regions and Neyman-Pearson hypothesis testing clearly and convincingly. The closing portion of the book discuss analysis of variance and linear regression methods; and is supplemented with real-world examples throughout, leaning heavily on the data provided by the Swedish census.
This book is a classic, not least for its combination of lucidity and rigor. In recognition of its merits, it has been re-issued in an affordable paperback edition. It belongs on the shelf of anyone interested in statistical methods.


Very technical but well written
a measure-theoretic based introduction to statisticsThe first two chapters of the book give a nice overview of probability and statistics, while the remaining chapters expand on three fundamental areas of statistical inference: estimation (both parametric and nonparametric), hypothesis tests, and confidence sets). And I must admit that I'm very impressed with the author! For if a textbook is a reflection of what an author knows about some subject, then Shao represents a treasure trove of knowledge that is so eloquently shared in this book. Anyone serious about doing graduate-level reasearch in statistics should invest a year of studying this book. But be forwarned that most likely one will find this, due to the onslaught of measure theoretic analysis, one of the more challenging books to makes its way on the book shelf. For those who cannot stomach so much analysis, but would like to at least understand the gist of statistics, I recommend Roussas's book of the same title. It is calculus-based and makes some simplifying assumptions (e.g. continuous or discrete) about the distributions, which helps make the math digest easier.


Execllent reference, even for non-statisticians
An excellent book on matrices

Decision Support
this book must be good@

authoritative and thorough treatmentBurnham and Anderson address all these issues and provide the best coverage to date on bootstrap and cross-validation approaches. They also are careful in their historical account and in putting together some coherence to the scattered literature. They are thorough in their references to the literature. Their theme is the information theoretic measures based on the Kullback-Liebler distance measure. The breakthrough in this theory came from Akaike in the 1970s and improvements and refinement came later. The authors provide the theory, but more importantly, they provide many real examples to illustrate the problems and show how the methods work.
They also refer to the recent work in Bayesian methods. Chapter 1 is a great introduction that everyone should read. Being a fan of the bootstrap I was interested in their coverage of it in chapters 4, 5 and 6 (much of which is the authors' own work).
Because the authors work in biological fields they cover survival models as well as the standard time series and regression models where most of the emphasis has been placed on model selection in the past.
It is a great reference source and an important book for learning about model selection as part of the inferential process. The pictures of the famous contributors inserted throughout the book is also nice to see. We have Akaike, Boltzmann, Shibata, Kullback, and Liebler brought to life in photographs or sketches.
A breakthrough book on statistical modeling building

Combines theory and practice
This is the best applied financial econometrics book.