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Markov chains B. Probability review 5. Markov chain Monte Carlo C. Proofs of selected propositions 6. Implementing Markov chain Monte Carlo Readership: Advanced graduate students and researchers in applied sciences with strong quantitative skills who are interested in learning and applying Bayesian methods in their research. The author provides a rigorous development of Bayesian methods for analysis of data in the social sciences. In the first part of the book, the author presents many situations in support of the Bayesian paradigm over the classical counterpart.

This approach is particularly important to present to social scientists, the targeted readership, if indeed it fits with their scientific settings as the author indicates. The extensive coverage of MCMC methods is commendable. Detailed Bayesian analysis for many of the examples, with consideration to the choice of priors and assessing the sensitivity of results for those choices helps to complete the Bayesian picture.

The wide coverage of situations where outcomes are not only continuous but also binary, count, longitudinal, etc. While the appeal is strongly applied, the myriad of topics covered in this book are quite technical.

So it is not for the casual reader but rather for one who has a serious interest in learning to apply Bayesian methods and has fairly strong quantitative skills. Karabi Nandy: knandy sonnet. Introduction 9. Sample size calculations for parallel group 2. Seven key steps to cook up a sample size superiority clinical trials with binary data 3. Sample sizes for parallel group superiority trials Sample size calculations for superiority with normal data cross-over clinical trials with binary data 4.

Sample size calculations for superiority Sample size calculations for non-inferiority trials cross-over trials with normal data with binary data 5. Sample size calculations for equivalence clinical Sample size calculations for equivalence trials trials with normal data with binary data 6.

Sample size calculations for non-inferiority Sample size calculations for precision-based trials clinical trials with normal data with binary data 7. Sample size calculations for bioequivalence Sample size calculations for clinical trials with trials ordinal data 8. Sample size calculations for precision-based Sample size calculations for clinical trials with clinical trials with normal data survival data Readership: Researchers undertaking clinical research in the pharmaceutical and public sector.

Sample size calculation is a task that every person undertaking clinical research in the pharmaceutical or public sector will meet sooner or later. These researchers are also the intended audience of this book.

For a book such as this, it is unavoidable to have a lot of formulas. These are, however, supplemented with many worked examples based on real-world issues, as well as comprehensive tables. The theoretical background and derivation of the sample size formulas are also discussed. The book should be useful as a reference work for statisticians or other researchers that are interested in quickly finding an appropriate formula for a sample size calculation problem.

Although the worked examples may be quite short, they are useful for understanding the discussed methods and for the reader to apply the methods by himself or herself.

Each chapter also ends with a valuable short summary that gives the key messages to be learned from the chapter in question. Martinez, Jianhua Z. Boosting for estimating spatially structured additive Huang, Raymond J. Santner, William I. Notz, Jeffrey S. Hackensperger, Friedrich Leisch Lehman Readership: Researchers in statistics, biostatistics, econometrics, academic researchers interested in statistical modelling.

The contributions collected in this book span a wide range of modern Statistics, including generalized linear models, semiparametric and geoadditive regression, Bayesian inference in complex regression models, time series modelling, statistical regularization, graphical models, and stochastic volatility models.

Erkki P. Liski: erkki. Introduction Appendix A. Probability of events 2. Discrete-time Markov chains: transient Appendix B. Univariate random variables behavior Appendix C. Multivariate random variables 3. Discrete-time Markov chains: first passage Appendix D.

Generating functions times Appendix E. Laplace—Stieltjes transforms 4. Discrete-time Markov chains: limiting behavior Appendix F. Laplace transforms 5. Poisson processes Appendix G. Modes of convergence 6. Continuous-time Markov chains Appendix H. Results from analysis 7. Queueing models Appendix I. Difference and differential equations 8. Renewal processes Answers to selected problems 9. Markov regenerative processes Diffusion processes Readership: Undergraduates in statistics, mathematics, operations research, and related areas.

This book is designed for two successive courses in stochastic models, with the first based on the first six chapters, and the second the last four chapters. It presents traditional material for introductory courses in stochastic processes and applied probability. I have to confess to a small tinge of disappointment that I did not find anything startlingly unusual or innovatory in the book—but this does not detract from its strong merits as a course text, and may even strengthen it in this regard.

It assumes knowledge of calculus and matrix algebra, but does not require measure theory. There are exercises after each chapter, generally divided into three classes: modelling, computational, and conceptual. Changes from the first edition include removal of an appendix on stochastic ordering, adding of appendices on analysis and on differential and difference equations, a new chapter on diffusion processes, deletion of discussion of numerical methods and some details of Markov renewal theory, as well as changes to the sequence of presentation of some topics.

Some exercises have been deleted and new ones added. The publishers are also to be commended on its nice production: it is the sort of book which is a pleasure to read. In all, it is an excellent textbook for use in introductory courses on stochastic processes. The book is presented by Andy Liu who is well known internationally in problem-solving circles, and has served as Editor of the problem section of Math Horizons for a number of years and as Editor or Co-editor of several books.

It puts its problems and solutions into three periods: — Ancient , — Medieval and — Modern , reflecting the changes in high school maths curricula. The first two periods are basically of historical interest. The Modern one produces many innovative and challenging problems.

A list of winners is included at the end of the book. All the problems have been well selected for the competition and most are given an answer in the book, though only those from the Modern period are provided full solutions: many of them are given, after annotations or notes, multiple solutions or approaches or arguments, even from different students with their school named. A wide range of topics for the problems is considered, including number, geometry, equation and inequality problems at various levels, and even game or chance problems relevant to classical probability.

In the Modern period, the problems are a mixture of multiple choice questions 20 questions per year in — and 16 questions per year in —, First Round and short answer problems 5 problems per year, Second Round.

The book is the second volume in the Canadian Collection; however, it is indeed internationally very valuable to high school and university students, teachers, and academics in areas of mathematics, statistics, science, and education, especially those interested in research and training involved in Maths Competitions. Shuangzhe Liu: shuangzhe.

I found this book by chance. My introductory course in statistics for social and other sciences started last week, and I happened to be a bit early, so I made a short visit to a bookshop nearby. After browsing the shelves more or less randomly for a few minutes I found this book, and immediately decided to buy it. During the last few days the book has been both amusing and useful company. I really appreciate the concise style and historical expertise of the author.

At the same time I enjoy the surreal but nice strips of the illustrator. There are lots of details that I will certainly mention during my course. When I entered the lecture hall just 5 minutes after buying the book , I instantly added it on the course home page, and I surely recommend and will recommend and already have recommended! Kimmo Vehkalahti: kimmo. Bhimasankaram, Saroj B. Introduction Schur complements and shorted operators 2.

Matrix decompositions and generalized inverses Shorted operators—other approaches 3. The minus order Lattice properties of partial orders 4. The sharp order Partial orders of modified matrices 5.

The star order Equivalence relations on generalized and outer 6. One-sided orders inverses 7. Unified theory of matrix partial orders through Applications generalized inverses Some open problems 8. Parallel sums Readership: Graduate students in mathematics, researchers in mathematics, statistics, and electrical engineering. It was delightful to learn about the existence of the book under this title and in particular, to notice the name of the first author: Sujit Kumar Mitra, the great Indian Master of Row and Column Spaces.

All these topics are the core of the book. The book provides an excellent collection of results in the areas of matrix orders and shorted operators that are scattered in various journals. The book can be highly recommended to anyone interested in this field. It is not, however, necessary a picnic to browse through the pages: this is pretty tough and terse reading, and more appropriate for advanced courses. An author index would have been also welcome.

In any event, I am very happy to have this book in my bookshelf. From The convex hull of a random set of From Estimating the error rate of a points. Introduced by Tom Cover prediction rule: improvement on 2. From Forcing a sequential experiment to cross-validation. Introduced by Trevor Hastie be balanced. Introduced by Herman Chernoff From Defining the curvature of a Introduced by Larry Wasserman statistical problem with applications to second From Better bootstrap confidence order efficiency.

Introduced by Rob Kass and intervals. Introduced by Peter Paul Vos Bickel 4. From An introduction to the bootstrap estimator and its generalizations with Carl with Robert Tibshirani [excerpt]. Introduced Morris. Introduced by John Rolph by Rudy Beran 5. From Estimating the number of unseen From Using specially designed species: how many words did Shakespeare exponential families for density estimation know?

Introduced by with Robert Tibshirani. From Bootstrap confidence levels for function for censored data. Introduced by 7. Introduced by Jim Berger From R. Fisher in the 21st century. From Assessing the accuracy of the Introduced by Stephen Stigler maximum likelihood estimator: observed From Empirical Bayes analysis of a versus expected Fisher information with David microarray experiment with Robert Tibshirani, V. Storey and Virginia Tusher. From Bootstrap methods: another look at Introduced by Rafael Irizarry the jackknife.

Introduced by David Hinkley From Least angle regression with Introduced by Jun Shao Tibshirani. Introduced by David Madigan and C. Jeff Wu From Large-scale simultaneous From The jackknife, the bootstrap and hypothesis testing: the choice of a null other resampling plans [excerpt]. Introduced by hypothesis.

It is hard to imagine someone interested in statistical research who is not familiar with the bootstrap in one form or another, and hence with the name Bradley Efron. How did the bootstrap arise? How did the statistician Efron arise? What other research did Efron conduct? What do his peers think of his research? What do his colleagues and students think of him?

What does he look like? What does he think about statistics? If you are interested in partial answers to any of the above questions, this is a book for you. Every paper is preceded by a commentary by an expert on the subject of the paper, and this doubles the value of the collection. This is a treasure trove of statistical gems, and deserves a place on the shelf of every research statistician. Myers, Douglas C. Montgomery, G.

Geoffrey Vining, Timothy J. Introduction to generalized linear models A. Background on basic test statistics 2. Linear regression models A. Background from the theory of linear models 3. Nonlinear regression models A. Logistic and Poisson regression models A. The relationship between maximum likelihood 5.

The generalized linear model estimation of the logistic regression model and 6. Generalized estimating equation weighted least squares 7.

Random effects in generalized linear models A. Computational details for GLMs for a canonical 8. Designed experiments and the generalized link linear model A. Computations details for GLMs for a noncanonical link Readership: Students of statistics undergraduate and postgraduate , users of statistics, practi- tioners in industry.

The book has a Statistics-in-Industry flavour rather than, say, biostatistics or environmental statistics. The emphasis is on the practical application of GLMs generalized linear models rather than proofs of results, and is well aimed at a wide audience.

Nevertheless, algebraic formulae for the various models and methods are given in detail. Due attention is given to model checking and diagnostics throughout, and the use of various computer packages R, SAS, Minitab is illustrated on many examples.

A thorough survey of linear and non-linear regression is given in Chapters 2 and 3, and this is followed by detailed treatment of logistic and Poisson regression in Chapter 4 as a prelude to Chapter 5 exponential family models, link functions, and GLMs in general. The coverage then goes beyond straightforward GLMs: the following three chapters are devoted to GEEs generalized estimating equations , GLMMs generalized linear mixed models , and experimental design with D-optimality.

Chapter 7, in particular, branches out in the last section to cover the Bayesian approach, showing how to implement McMC using WinBugs. A particular strength of the book is the inclusion of many real data sets and these are made available to be downloaded from a website. Overall, I believe that this will find a place as a useful introduction to GLMs for those who wish to use them in practice—it is a good practical guide for engineers, scientists, and working statisticians.

Flexible Bayes regression of epidemiologic Assessing the probability of rare climate events data David B. Bayesian modelling for matching and Gattiker alignment of biomolecules Peter J. Green, Models for demography of plant populations Kanti V.

Mardia, Vysaul B. Nyirongo, Yann James S. Combining monitoring data and computer 4. Sensitivity Analysis in microbial risk model output in assessing environmental assessment: vero-cytotoxigenic E.

In the list of possible scapegoats for the recent financial crises, mathematics, in particular mathematical finance has been ranked, without a doubt, as the first among many and quants, as. He also had visiting positions at the University of Chicago —61 , the Institute for Advanced Study —63, —69, spring , the University of Tokyo spring , and the University of Padua This is the general linear group of 2 by 2 matrices over the.

He also had visiting positions at the University of Chicago —61 , the Institute for Advanced Study —63, —69, spring , the University of Tokyo spring , and the University of Padua Suzuki received his Ph.

This book was written with two particular themes in mind, either of whEch are suitable for students who have had at least one year of calculus:. Creating mathematics: a study of the mathematical creative process.

This is embodied throughout the work, but the following sections form a relatively self-contained sequence: 3. Origins: why mathematics is done the way it is done. Again, this is embodied throughout the work, but some of the more important ideas can be found in the following sections: 3.

Computation and Numeration: For students with little to no background beyond elementary mathematics, or for those who intend to teach elementary mathematics, the following sections are particularly relevant: 1. Problem Solving: In the interests of avoiding anachronisms, these sections are not labeled "algebra" until the Islamic era.

For students with no calculus background, but a sufficiently good background in elementary algebra, the following sequence is suggested: Sections 1. Calculus to Newton and Leibniz: The history of integral calculus can be traced through Sections 1. Meanwhile, the history of differential calculus can be traced through Sections 5.

Number theory: I would suggest Sections 3. Good By Melissa Fay Great book, lots of information if you want to know about mathematics. Takes a while to understand, however. Could use answers in the back of the book, too.

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