

Age doesn't just concern the old.
Demography won't be beat!Wallace shows that the dependency ratios (the ratio of non-working "dependents" to working folk) will lead to a point where each worker will need to support not only himself, but a pensioner as well, and his own children, if any (and there will be very few). As the number of young working people, usually the more creative of all age-groups, continue to shrink, innovation will also came to a halt, and ultimately economic growth will vanish and then reverse the secular growing trend. While some environmentalists may feel overjoyed by this implosion of capitalism, most of us who rather liked material comforts and hoped that they would continue to grow endlessly will be less satisfied. The impact of the "agequake" will be felt in every sphere. Corporate hierarchies will make less sense when there are more middle-aged managers than young newcomers. The relationship between youthful and aggressive Third World Countries and rich older OECD countries (where elderly women will be the most influential constituency) will be fraught with dangers. Share prices will tend to collapse as the "Baby Boomers" start to retire and prefer to liquidate some of their assets. The housing market will be altered beyond recognition.
What can be done to avoid this future? Unsurprisingly, not much. Government policies cannot permanently improve fertility in rich countries, immigration in the scale required to make up for the shortfall of young workers will be politically indefensible, and the growing importance of older voters makes it virtually impossible for politicians to effect changes in fields such as retirement ages, pensioners' rights
or public health.
All in all, a sobering read. When these things happen, those of us who read it will have at least a headstart on everyone else. Not bad for a few bucks, eh?
Book Review

Excellent starting place for time series analysisThe author has done an admirable job at keeping the book manageably small. However, the reader is occasionally left wanting where interesting details are omitted because the author considered them "beyond the scope" of the book. For example, the preface mentions that several new topics are incorporated into the 5th edition (wavelets, for example), but the reader only finds a gratuitous single paragraph with references to complementary journal articles. In these few rare cases, the discussions are not intuitive enough for the reader to know whether it would be profitable to bother with further research at the professional journal level. Still, this title does well to reference the most important landmark works in the time series literature. Those performing remedial research may find it is easier - and more productive - to simply consult Chatfield's recommendations of important topical works before resorting to online or library literature searches.
This text has been in print since 1975 with new editions arriving every 5 years or so (perhaps even a 6th edition is close, since the last edition is copyrighted 1996). I am usually suspicious of textbooks having increasingly larger numbers of editions because the continual re-writing implies some level of recurring insufficiency. However, the frequency of update is probably justified due to continuing advances in this field of study. As a result, this title is surprisingly current given its introductory status (although the 4th and 5th editions do not differ too much).
For someone new to time series analysis, this may be one of the better places to start, especially for the price. Readers lacking in intuition or experience in time series analysis - especially non-statisticians - will certainly appreciate this introductory title. The more experienced analyst will also be well served by the author's expert perspectives - but to do practical work, this text will still likely need to be supplemented. The generous citation of additional literature will help the reader to know where to go next.
concise and well written introduction to time series
Claros conceptos estadísticos en Series de Tiempo

MRC Analysis---good book overallOverall, the text is a great addition to a statistical library, and this reviewer recommends it, in spite of being a sub-par book for first year graduate students.
Can't beat it
Best MRC Book Ever

A rigorous but difficult presentation of SDEs
The best introductionThe authors begin in chapter 1 with the task of defining martingales and filtrations, with the notion of a stochastic process being adapted to a filtration taking on particular importance. They omit the proof that a process is progressively measurable if and only if it is measurable and adapted, because of the difficulty of the proof, but give a reference where the proof can be found. Continuous-time martingales are defined, with (compensated) Poisson processes given as an example. The Doob-Meyer decomposition and square-integrable martingales are discussed, and the chapter if full of exercises, with solutions provided to some of these at the end of the chapter. Brownian motion is formally defined in the next chapter, with its existence proven using Wiener measure on the space of continuous functions on the positive half line. The discussion in this chapter has to rank as one of the best in print, due to the meticulous and precise manner in which the material is presented. The Markov property of Brownian motion is proven, along with a good presentation of the Levi modulus of continuity. Readers working in constructive quantum field theory will see their usual construction of Wiener measure in the second exercise of the chapter. Those working in that area are used to seeing (conditional) Wiener measure defined on a collection of cylinder sets, which is then extended to the Borel subsets . Such a construction is done in this book, but the approach is somewhat different than what physicists normally see in quantum field theory.
The theory of stochastic integration is presented in Chapter 3, and it is superbly written. The authors are careful to distinguish the theory of integration for stochastic processes from the ordinary one with emphasis on the actual computation of stochastic integrals. The reader is first asked to explore the Stratonovitch and Ito integrals in an exercise., and then a thorough treatment is given by the authors later in the chapter. The authors point out the differences between the Ito and Stratonovich integrals, with the latter being defined for a smaller class of functions than the former. The important Ito rule for changing variables is discussed, and then used to give the Kunita-Watanabe martingale characterization of Brownian motion. Physicists involved in constructive quantum field theory will appreciate the discussion of the Trotter existence theorem in this chapter.
The connection of Brownian motion with partial differential equations, so familiar to physicists via the heat equation, is the subject of the next chapter. These equations give the transition probabilities of the stochastic process, and are studied here first in the context of harmonic analysis, namely the classical Dirichlet problem. This is followed by a beautiful treatment of the one-dimensional heat equation and the Feynman-Kac formulas. Those readers working in constructive quantum field theory will see the Green's function lurking in the background.
The very important topic of stochastic differential equations is outlined in chapter 5, with emphasis placed on the study of diffusive processes. The solutions of these equations have an immense literature, and the authors do not of course overview all of it, but do give a useful introduction. Both strong and weak solutions are discussed, with the Girsanov and Yamada-Watanabe techniques used throughout. Explicit solutions are given for linear stochastic differential equations, such as the Ornstein-Uhlenbeck process governing the Brownian motion of a particle with friction. Financial engineers will appreciate the discussion of the applications of this formalism to option pricing and the Merton consumption theory in this chapter. Options pricing is cast in martingale terms, and then the usual Black-Scholes equation is derived from this. The notorious Hamilton-Jacobi-Bellman equation is discussed in the consumption/investment problem, and the authors show how to employ techniques for solving this problem instead of solving this difficult nonlinear equation. The authors give a hint of the important Malliavin calculus in the Appendix and give references for the reader.
The last chapter of the book is more specialized than the rest and deals with the Levy theory of Brownian local time. This theory does have a connection with the theory of jump processes, which are currently very important in financial and network modeling. The authors do a fine job of explaining how Poisson random measures permit the event bookkeeping in these jump processes. Their discussion is applied to the computing of the transition probabilities for a Brownian motion with two-valued drift.
a must reading for quants working in economics and finance

concise handbookThe book should be seen purely as a handbook on statistical distributions, not as a theoretical reference. The book is ideal for those who make use of statistical distributions in other fields, and who are not necessarily statisticians themselves. I have no formal statistics training, but use distributions extensively in my own work, and found this book very easy to understand. I have been using Johnson and Kotz monographs fairly extensively as references for the distributions in which I am interested, but find this book a much simpler reference for the basic facts of the distributions. In addition, its consistent use of notation across the chapters makes it much easier for the reader to cross reference.
I refrain from giving 5 stars to the book because of a few weaknesses, primarily omissions. Firstly, as an earlier reviewer pointed out, the lack of an index is a little annoying sometimes. Secondly, the bibliography is very slim, and so the reader interested in finding further details, proofs etc., is given very little direction. Thirdly, there are a few obvious omissions, such as the cumulative distribution function for the chi-squared distribution. Fourthly, random number generation is described only when the generation is relatively simple (for example, a method for generating random variates from a gamma distribution is described only for special cases). Finally, I would like to have seen more guidance provided in the sections on parameter estimation, such as first and second derivatives of log-likelihood functions when the estimates have to be derived iteratively.
the only book you'll ever need on distributions
Want to fit distributions ? This is the book !

Good but not advancedNevertheless this is a valuable book that will deepen the statistical knowledge of the reader. I would recommend it to any one that has done some intermediate statistics and wants to consolidate his knowledge. Graduate students will not be helped much from it.
I wish REA publishes a second volume with the chapters that are not covered here.
Good for undergrad courses
life line

stability,consistence and convergence
Not a cookbook w/code. For folks serious about NA.
Maximum Numerical Analysis / $ in print today!

A Nice OverviewI bought and I'm glad I did, but I don't refer to it like I do Hosmer and Lemeshow's text.
Excellent Over viewI eagerly await the next edition of this monograph. Thank you!
Excellent Guide to Logistic RegressionWhen compared to SAS's documentation, this book's greatest advantage is explaining in english (rather than mathematical notation) the assumptions and limitations of SAS's (and SPSS'S) algorithms. Its chapter on logistic regression diagnostics is alone worth the price of the book. In short, if you need to use logistic regression analysis and you already understand OLS, you cannot go wrong with this book.


Not my favorite
Excellent Introduction to Linear RegressionAll the underlying math you want to know is sitting on the pages, clearly explained though examples with computer output and graphs. I worked through the problems in the text without difficulty and reproduced their work. I understood what I was doing. Each chapter is followed by a series of problems. You probably want to get a solutions manual if you want to check your answers.
The material covered includes: Univariable and multivariable linear regression, correlations including multiple partial, ANOVA, ANCOVA, Polynomial Regression including orthogonal polynomials, dummy variables, selecting best regression equation, and introductions to repeated measures ANOVA, maximum likelihood methods, and logistic regression.
Now that I feel that I have these basics under control, I would like a book on "approaches" to data and dealing with "difficult" data. This book contains one chapter on regression diagnostics -- not enough. But I guess that is the next step....
Other readers have commented on other books addressing the same topic, unfortunately I have not read those other books. However, I am certain that you will learn from this book, and when you are done, you will be ready for more.
(Did I mention that I signed up for a course with Dr. Kleinbaum on analysis of matched data?)
Top of the line for multivariate issues understanding

Still one of the best
classic text on Bayesian methodsIn the latter chapters more complex problems are introduced including many that do not have nice classical solutions. Box and Tiao show how Bayesian methods contribute ideas that provide new insights into these problems. The discussion of hierarchical models anticipated the developments in Bayesian methods that occurred in the 1990 when the MCMC methods burst onto the scene.
This book is nice for a historical perspective but anyone seriously interested in doing modern Bayesian analysis needs a book that deals with the MCMC methods and there are many nice books available these days.
Bayesian Inference in Statistical Analysis
Wallace constructs his analysis by building on the theme of his choosen title. Part one, explores the 'faultlines' that major studies identify, and awaits explanation in the next section, the 'tremors'. If you understand the logic of the opening chapters, then the 'shockwaves' should not be a big surprise. I suspect we'll have to live through it before anyone truly understands it. This is partly a get-out clause for political leaders who ought to urgently set out plans for, for example pensions reform, but since people and politicans don't tend to think and act for the long term, you can imagine wallace urging disapproval.
Each facet of life merits a mention; from ageism in the workplace, to the effect on property prices, spiralling healthcare costs and the impending 'pensions crunch'. While many of the current baby boomer generation are looking forward to early retirement, wallace leaves us to wonder if we, the younger generation, will have to work so much harder to share their (modest) ambition of enjoying their leisure after 40 years of labour?
A good read.