

The Lebesgue integral and more

Ever fell in love with a textbook?
Behavioral Statistics in Action

Great introduction to applied statistics by a great teacher

Beautiful

modern coverage emphasizing relative riskA variety of methods are covered on a number of subjects. The first half of the book deals with classical approaches to single and multiple 2x2 contigency tables used in cross-sectional, prospective and case-control studies. In the second half, the more modern likelihood or model-based approach is presented. Technical mathematical details are covered in the appendix which is referenced throughout the text. The appendix deals with statistical theory (stochastic convergence results and other theory) but does not provide rigorous proofs of the theorems. Real probelms are presented and analyses are illustrated using procedures in SAS.
In the model-based sections, topics include logistic regression, Poisson regression, proportional hazard and multiplicative intensity models. The book is modern, well written, provides a good list of references, has extensive problem sets at the end of the chapters and employs case studies to illustrate the application of the methods. It is not a book for beginners. It is a great reference source for biostatisticians and epidemiologists as well as a fine text for a graduate-level course in biostatistics.


This book beats the odds!

the wisdom of Box and songs too!Box's contributions to statistics are diverse and large. He developed many practical statistical designs including the central composite design. He is responsible for evolutionary operation and wrote a book on it with Norman Draper. He has also made major contributions to response surface methodology.
With Gwilym Jenkins he systematized the application of the ARIMA models and led the development of software for easy application of these model building techniques. He championed the concept of parsimonious models and insisted that model building should be an iterative and continually evolving technique. He contributed to the area of control through his stochastic time series models and found ways to incorporate it in manufacturing process control.
With David Cox he developed the Box-Cox family of transformations. These simple power transformation can be used to make the data have an approximate normal shape. he gave a prescription for how to estimate or pick the power to use based on the data.
These enormous contributions can be found in the volumes of collected works that Tiao and others have edited. His contributions can also be seen from his books on evolutionary operation, time series analysis, automated process control, empirical model building and response surfaces, and practical experimental designs ("Statistics for Experimenters").
However in the decades of the 80s and 90s from age 60 to 80, instead of retiring, George Box took on the challenge of developing a center for quality and productivity at the University of Wisconsin. This volme, edited by Tiao, Bisgaard, Hill, Pena and Stigler provides a collection of articles by Box. These are mostly articles written in the 1990s covering the subjects of A) continuous process improvement, B) designing experiments to gain quality information, C) sequential investigation and discovery (including response surface methods), D) quality control and E) learning how to identify and reduce variation or be less sensitive to it by constructing robust processes (i.e. processes not sensitive to minor changes in process parameters). The articles are mostly directed toward quality issues and are mostly articles that were published in the 1990s or 2000 with a few from the 80s. Some are important technical contributions but many are also very philosophical.
George Box is one of the great thinkers of the 20th century and his philosophy on statistics and scientific inference is as important as his many technical contributions. There are 46 articles in total 4 on topic A, 12 on B, 10 on C, 11 on D and 9 on E. Each topic area has a brief introduction identifying a unifying theme in the papers in that section.
Box has a terrific sense of humor that often comes out in his lectures and sometimes in his writings. One gets a good appreciation of it by reading the three songs on statistics that are included in Part F of the book. This is only a sample of several that he has written that are parodies of familiar tunes. Of these three my favorite is "There's no theorem like Bayes theorem" to the tune of "There's no business like show business."
There is a nice bibliography in the back of the book that is followed by a biography on Box and a list of his books and articles published between 1982 and 1999. This includes 3 books and 91 articles! Believe it or not he published even more in his earlier years.


Great Introduction to Statistics for MBA's

A great statistical reference for non-experts in stats!

Excellent
Sometime during the semester, I got hold of this book, by Saxe, and started reading the chapters on Lebesgue integration. After doing that, I began to develop an understanding of what it was, how it was used, and why it was necessary to cover all these theorems. The book gave me perspective on the subject; (and hence motivation) something which Folland did not do.
Saxe's book isn't without it's faults; I had some issues with her proof of the Baire Category theorem (in this case, I actually found Follands proof much more believable) and she got the year of Hermann Minkowski's death wrong. Other than that, I could not find any problems with the book.
In summary, this book fills a much needed void in the literature: a readable book which introduces the student to functional analysis beyond the undergraduate "advanced calculus level." If you are in a graduate-level real analysis course and haven't a clue what a sigma algebra is or why you should care (but would like to), then buy this book.