Roy D. Yates, David J. Goodman

Probability and Stochastic Processes:
A Friendly Introduction for Electrical and Computer Engineers, 2nd Edition

ISBN: 0-471-27214-0
Hardcover, 544 pages, May 2004

Description

This user-friendly resource helps readers grasp the concepts of probability and stochastic processes, so they can apply them in professional engineering practice. The book presents concepts clearly as a sequence of building blocks that are identified either as an axiom, definition, or theorem. This approach provides a better understanding of the material, which can be used to solve practical problems.

Table of Contents

Preface.
1. Experiments, Models, and Probabilities.
2. Discrete Random Variables.
3. Continuous Random Variables.
4. Pairs of Random Variables.
5. Random Vectors.
6. Sums of Random Variables.
7. Parameter Estimation Using the Sample Mean.
8. Hypothesis Testing.
9. Estimation of a Random Variable.
10. Stochastic Processes.
11. Random Signal Processing.
12. Markov Chains.
Appendix A: Families of Random Variables.
Appendix B: A Few Math Facts.
References.
Index.


Paul P. Biemer, Robert M. Groves, Lars E. Lyberg, Nancy A. Mathiowetz, Seymour Sudman (Editors)

Measurement Errors in Surveys

ISBN: 0-471-69280-8
Paperback
760 pages
August 2004

Description

WILEY-INTERSCIENCE PAPERBACK SERIES

The Wiley-Interscience Paperback Series consists of selected books that have been made more accessible to consumers in an effort to increase global appeal and general circulation. With these new unabridged softcover volumes, Wiley hopes to extend the lives of these works by making them available to future generations of statisticians, mathematicians, and scientists.

"This book will be an aid to survey statisticians and to research workers who must work with survey data."
?Short Book Reviews, International Statistical Institute

Measurement Errors in Surveys documents the current state of the field, reports new research findings, and promotes interdisciplinary exchanges in modeling, assessing, and reducing measurement errors in surveys. Providing a fundamental approach to measurement errors, the book features sections on the questionnaire, respondents and responses, interviewers and other means of data collection, the respondent-interviewer relationship, and the effects of measurement errors on estimation and data analysis.

G. A. F. Seber

Multivariate Observations

ISBN: 0-471-69121-6
Paperback
686 pages
August 2004

Description

WILEY-INTERSCIENCE PAPERBACK SERIES

The Wiley-Interscience Paperback Series consists of selected books that have been made more accessible to consumers in an effort to increase global appeal and general circulation. With these new unabridged softcover volumes, Wiley hopes to extend the lives of these works by making them available to future generations of statisticians, mathematicians, and scientists.

"In recent years many monographs have been published on specialized aspects of multivariate data-analysis?on cluster analysis, multidimensional scaling, correspondence analysis, developments of discriminant analysis, graphical methods, classification, and so on. This book is an attempt to review these newer methods together with the classical theory. . . . This one merits two cheers."
?J. C. Gower, Department of Statistics
Rothamsted Experimental Station, Harpenden, U.K.
Review in Biometrics, June 1987

Multivariate Observations is a comprehensive sourcebook that treats data-oriented techniques as well as classical methods. Emphasis is on principles rather than mathematical detail, and coverage ranges from the practical problems of graphically representing high-dimensional data to the theoretical problems relating to matrices of random variables. Each chapter serves as a self-contained survey of a specific topic. The book includes many numerical examples and over 1,100 references.

George G. Woodworth

Biostatistics: A Bayesian Introduction

ISBN: 0-471-46842-8
Hardcover
384 pages
September 2004

Description

An essential introductory text linking traditional biostatistics with bayesian methods
In recent years, Bayesian methods have seen an explosion of interest, with applications in fields including biochemistry, ecology, medicine, oncology, pharmacology, and public health. As an interpretive system integrating data with observation, the Bayesian approach provides a nuanced yet mathematically rigorous means of conceptualizing biomedical statistics?from diagnostic tests to DNA evidence.

Biostatistics: A Bayesian Introduction offers a pioneering approach by presenting the foundations of biostatistics through the Bayesian lens. Using easily understood, classic Dutch Book thought experiments to derive subjective probability from a simple principle of rationality, the book connects statistical science with scientific reasoning. The author shows how to compute, interpret, and report Bayesian statistical analyses in practice, and illustrates how to reinterpret traditional statistical reporting?such as confidence intervals, margins of error, and one-sided p-values?in Bayesian terms.

Topics covered include:

Probability and subjective probability
Distributions and descriptive statistics
Continuous probability distributions
Comparing rates and means
Linear models and statistical adjustment
Logistic regression and adjusted odds ratios
Survival analysis
Hierarchical models and meta-analysis
Decision theory and sample size determination
The book includes extensive problem sets and references in each chapter, as well as complete instructions on computer analysis with the versatile SAS and WinBUGS software packages as well as the Excel spreadsheet program. For professionals and students, Biostatistics: A Bayesian Introduction offers an unique, real-world entry point into a remarkable alternative method of interpreting statistical data.

Steven G. Krantz

Complex Analysis
The Geometric Viewpoint, 2nd Edition

238 pages 38 line diagrams 10 exercises 28 worked examples
Hardback | ISBN: 0-88385-035-4 | Not yet published - available from September 2004

In this second edition of a Carus Monograph Classic, Steven G. Krantz, a leading worker in complex analysis and a winner of the Chauvenet Prize for outstanding mathematical exposition, develops material on classical non-Euclidean geometry. He shows how it can be developed in a natural way from the invariant geometry of the complex disk. He also introduces the Bergmann kernel and metric and provides profound applications, some of which have never appeared in print before. In general, the new edition represents a considerable polishing and re-thinking of the original successful volume. A minimum of geometric formalism is used to gain a maximum of geometric and analytic insight. The climax of the book is an introduction to several complex variables from the geometric viewpoint. Poincare's theorem, that the ball and bidisc are biholomorphically inequivalent, is discussed and proved.

Contents

Preface; 0. Principal ideas of classical function theory; 1. Basic notions of differential geometry; 2. Curvature and applications; 3. Some new invariant metrics; 4. Introduction to the Bergmann theory; 5. A glimpse of several complex variables; 6. Appendix; Symbols; References; Index.

Reviews
eA first-rate book, which can be used either as a text or a reference.f Choice

eIn five very nicely written chapters this book gives an introduction to the approach to function theory via Riemannian geometry. Very little function-theoretic background is needed and no knowledge whatsoever of differential geometry is assumed.f Mathematical Reviews


Janos Galambos / Temple University, Philadelphia, Pennsylvania, U.S.A.
Italo Simonelli / Texas A&M University, Commerce, Texas, U.S.A.

Products of Random Variables

Pure and Applied Mathematics series.Volume: 175

Textbook | Print Published: 07/15/2004
Hard Cover
320 pages | Illustrated
Print ISBN: 0-8247-5402-6

Description

This impressive work sees the theory of products of random variables through from distributions and limit theorems, to characterizations, to applications in physics, order statistics, and number theory?using entirely probabilistic arguments in actualizing the potential of the asymptotic theory of products of independent random variables and obtaining results with dependent variables using a new Bonferroni-type argument.

Table of Contents

Foundations
Limit Theorems
Characterization
Interacting Particles
Arithmetical Functions
Miscellaneous Results
Bibliography
Author Index
Subject Index