

Fantastic journey through the world of charts and graphs!
Unseen

best statistical account of accelerated testingThis book is very thorough in its treatment of all aspects of accelerated testing and is filled with many good references. Nelson carefully defines the mathematical models which consist of two components, (1) an acceleration function which describes how the mean lifetime changes as a function of the acceleration factor and (2) a probability distribution that explains the random variability of outcomes at each acceleration factor. A particular mean function could be the Arrhenius relationship and the probability distribution could be exponential. Hence there is not a single Arrhenius acceleration model but rather an Arrhenius-exponential, an Arrhenius-lognormal or an Arrhenius-Weibull model. The book is filled with interesting theory and examples. Nelson provides excellent practical guidance based on his wealth of experience.


A nice mix of theory and examples for sampling of rare pops.

A valuable reference book

A vigorous intro to advanced mathematics for applicationsAnyway, to the book. Books on mathematical methods for physics have been lagging behind technical innovations. This book introduces Maple in the first three chapters and then uses it extensively in chapters that begin with functions, series and limit, and ranges through most topics in differential equations to dynamical systems. I would have liked to see an introduction to symmetry methods and Lie groups as they are particularly easy to implement on computer algebra systems. But then again the book is already long at 862 pages. Anyway, this book is a must have for working physicists and applied mathematicians. A good text for advanced undergraduates and beginning graduate students. Many solutions are available through the author's web site.


Pretty good.The presentation is very organized, and the author gives many interesting (and mostly, fun to read) examples. The introductory material in chapter 1 is very detailed. Chapter 2 on discrete time MC's is excellent. (I especially enjoyed seeing the interplay between convergence of time-averages and distributions).
This book is obviously more advanced than some other texts in this area (e.g., S. M. Ross - Stochastic Processes), and it emphasizes the technicality behind the proofs a bit more. I think that after learning the basic ideas in some undergrad level course, it is easier to read. One drawback of the book is that in some places the treatment is a bit dry (e.g., in the beginning of chapter 3 - Renewal processes).
Overall, I give it 4.5 / 5 stars.


A superb 200-page introduction to numerical analysisCode fragments are in C and FORTRAN. The C code obviously hasn't been tested (abs() instead of fabs() throughout). There are many typos in the text as well as in the code fragments.


excellent book to keep

first book on multivariate survival analysisHe gives an excellent exposition and a number of good examples. He provides the reader with a very current list of references from the literature.
The author presents the four common approaches to the problem and concedes that the field is in its infancy. He believes that while some of the methods described will prove not to be as fruitful as others, at this point it is still difficult to determine which are the most promising. His aim is to expand the toolbox for researchers in medical and biological fields who have experience with univariate survival analysis and may be faced with multivariate problems. He covers such important current topics as fraility models and competing risks.
In my opinion the author has succeeded in his goal and provided biostatisticians with a reference source that will be useful to them for many years. It should not be your first book in survival analysis though. See the book by Lawless or Kalbfleish and Prentice before attaching this book.


The Analysis of Variance