James Lee Johnson

Probability and Statistics for Computer Science

ISBN: 0-471-32672-0
Hardcover
768 Pages
July 2003

Description

Comprehensive and thorough development of both probability and statistics for serious computer scientists; goal-oriented: "to present the mathematical analysis underlying probability results"
Special emphases on simulation and discrete decision theory
Mathematically-rich, but self-contained text, at a gentle pace
Review of calculus and linear algebra in an appendix
Mathematical interludes (in each chapter) which examine mathematical techniques in the context of probabilistic or statistical importance
Numerous section exercises, summaries, historical notes, and Further Readings for reinforcement of content

Table of Contents

Preface.
Combinatorics and Probability.
Discrete Distributions.
Simulation.
Discrete Decision Theory.
Probability on the Real Line.
Continuous Distributions.
Parameter Estimation.
Appendix A. Analytical Tools.
Appendix B. Statistical Tables.

Russell Merris

Combinatorics, 2nd Edition

ISBN: 0-471-26296-X
Hardcover
508 Pages
July 2003

Description

Updating and expanding upon the successful First Edition of Combinatorics, this new edition provides the foundation for mastering combinatorics. Blending an engaging style with mathematical rigor, Professor Merris provides a uniquely flexible tool for a wide variety of approaches to combinatorics. After covering the basics in the first two chapters, the structure of the book allows instructors to customize courses by selecting chapters and topics according to their own course needs.

This edition features added explanations, examples, algorithms, and illustrations to enhance the exposition of the text, plus:
Well-written text that combines an engaging style with mathematical rigor
Expanded sections on algebraic coding theory; locally finite posets and their incidence algebras; distributive lattices and their order ideals; Young's Lattice; and the theory and applications of majorization
Independent chapters that allow maximum flexibility to instructors
A lucid, accessible explanation of Polya's theory

Table of Contents

Introduction to Privacy.
Internet Security.
The World Wide Web.
Privacy and the Internet.
Platform for Privacy Preferences Project.
Enhance Your Web Site's Privacy.
Five Steps to Create a Privacy Policy.
Privacy Policy in English.
Privacy Policy Using P3P.
Cookies and P3P.
User-Agents and other P3P Tools.
P3P and the Mobile Internet.
Appendix A. An XML Tutorial.
Appendix B. Taking Charge of Profile Information Conveyance.
Appendix C. A P3P Use Case.
Appendix D. Positional Privacy Using P3P and LIF Formats.

Mari Palta

Quantitative Methods in Population Health: Extensions of Ordinary Regression

ISBN: 0-471-45505-9
Hardcover
312 Pages
August 2003

Description

Each topic starts with an explanation of the theoretical background necessary to allow full understanding of the technique and to facilitate future learning of more advanced or new methods and software
Explanations are designed to assume as little background in mathematics and statistical theory as possible, except that some knowledge of calculus is necessary for certain parts.
SAS commands are provided for applying the methods. (PROC REG, PROC MIXED, and PROC GENMOD)
All sctions contain real life examples, mostly from epidemiologic research
First chapter includes a SAS refresher

Table of Contents

Preface.
Acknowledgments.
Acronyms.
Introduction.
Review of Ordinary Linear Regression and its Assumptions.
The Maximum Likelihood Approach to Ordinary Regression.
Reformulating Ordinary Regression Analysis in Matrix Notation.
Variance Matrices and Linear Transformations.
Variance Matrices of Estimators of Regression Coefficients.
Dealing with Unequal Variance Around the Regression Line.
Application of Weighting with Probability Sampling and Non-response.
Principles in Dealing with Correlated Data.
A Further Study of How the Transformation Works with Correlated Data.
Random Effects.
The Normal Distribution and Likelihood Revisited.
The Generalization of Non-Normal Distributions.
Modeling Binomial and Binary Outcomes.
Modeling Poisson Outcomes-The Analysis of Rates.
Modeling Correlated Outcomes with Generalized Estimating Equations.
References.

Herbert A. David, Haikady N. Nagaraja

Order Statistics, 3rd Edition

ISBN: 0-471-38926-9
Hardcover
450 Pages
August 2003

Description

This volume provides an up-to-date coverage of the theory and applications of ordered random variables and their functions.
Furthermore, it develops the distribution theory of OS systematically.
Applications include procedures for the treatment of outliers and other data analysis techniques.
Even when chapter and section headings are the same as in OSII, there are appreciable changes, mostly additions, with some obvious deletions. Parts of old Ch. 7, for example, are prime candidates for omission.
Appendices are designed to help collate tables, computer algorithms, and software, as well as to compile related monographs on the subject matter.
Extensive exercise sets will continue, many of them replaced by newer ones.

Table of Contents

Preface.
Introduction.
Basic Distribution Theory.
Expected Values and Moments.
Bounds and Approximations for Moments of Order Statistics.
The NON-IID Case.
Further Distribution Theory.
Order Statistics in Nonparametric Inference.
Short-Cut Procedures.
Asymptotic Theory.
Asymptotic esults for Functions of Order Statistics.
Appendix: Guide to Tables and Algorithms.
References.
Index.