Anders Hald

A History of Probability and Statistics and Their Applications before 1750

ISBN: 0-471-47129-1
Paperback
586 pages
August 2003

Description

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.

From the Reviews of History of Probability and Statistics and Their Applications before 1750

"This is a marvelous book . . . Anyone with the slightest interest in the history of statistics, or in understanding how modern ideas have developed, will find this an invaluable resource."
?Short Book Reviews of ISI

Table of Contents

1. The Book and Its Relation to Other Works.
2. A Sketch of the Background in Mathematics and Natural Philosophy.
3. Early Concepts of Probability and Chance.
4. Cardano and Liber de Ludo Aleae, c. 1565.
5. The Foundation of Probability Theory by Pascal and Fermat in 1654.
6. Huygens and De Ratiociniis in Ludo Aleae, 1657.
7. John Graunt and the Observations Made upon the Bills of Mortality, 1662.
8. The Probabilistic Interpretation of Graunt's Life Table.
9. The Early History of Life Insurance Mathematics.
10. Mathematical Models and Statistical Methods in Astronomy from Hipparchus to Kepler and Galileo.
11. The Newtonian Revolution in Mathematics and Science.
12. Miscellaneous Contributions Between 1657 and 1708.
13. The Great Leap Forward, 1708 - 1718: A Survey.
14. New Solutions to Old Problems, 1708 - 1718.
15. James Bernoulli and Ars Conjectandi, 1713.
16. Bernoulli's Theorem.
17. Tests of Significance Based on the Sex Ratio at Birth and the Binomial Distribution, 1712 - 1713.
18. Montmort and the Essay d'Analyse sur les Jeux de Hazard, 1708 and 1713.
19. The Problem of Coincidences and the Compound Probability Theorem.
20. The Problems of the Duration of Play, 1708?1718.
21. Nicholas Bernoulli.
22. De Moivre and the Doctrine of Chances, 1718, 1738, and 1756.
23. The Problem of the Duration of Play and the Method of Difference Equations.
24. De Moivre's Normal Approximation to the Binomial Distribution, 1733.
25. The Insurance Mathematics of de Moivre and Simpson, 1725-1756.
References.
Index.

J. Edward Jackson

A User's Guide to Principal Components

ISBN: 0-471-47134-8
Paperback
569 pages
September 2003

Description

From the Reviews of A Userfs Guide to Principal Components

"The book is aptly and correctly named?A Userfs Guide. It is the kind of book that a user at any level, novice or skilled practitioner, would want to have at hand for autotutorial, for refresher, or as a general-purpose guide through the maze of modern PCA."
?Technometrics

"I recommend A Userfs Guide to Principal Components to anyone who is running multivariate analyses, or who contemplates performing such analyses. Those who write their own software will find the book helpful in designing better programs. Those who use off-the-shelf software will find it invaluable in interpreting the results."
?Mathematical Geology

Table of Contents

Preface.
Introduction.
1. Getting Started.
2. PCA with More Than Two Variables.
3. Scaling of Data.
4. Inferential Procedures.
5. Putting It All Together?Hearing Loss I.
6. Operations with Group Data.
7. Vector Interpretation I : Simplifications and Inferential Techniques.
8. Vector Interpretation II: Rotation.
9. A Case History?Hearing Loss II.
10. Singular Value Decomposition: Multidimensional Scaling I.
11. Distance Models: Multidimensional Scaling II.
12. Linear Models I : Regression; PCA of Predictor Variables.
13. Linear Models II: Analysis of Variance; PCA of Response Variables.
14. Other Applications of PCA.
15. Flatland: Special Procedures for Two Dimensions.
16. Odds and Ends.
17. What is Factor Analysis Anyhow?
18. Other Competitors.
Conclusion.
Appendix A. Matrix Properties.
Appendix B. Matrix Algebra Associated with Principal Component Analysis.
Appendix C. Computational Methods.
Appendix D. A Directory of Symbols and Definitions for PCA.
Appendix E. Some Classic Examples.
Appendix F. Data Sets Used in This Book.
Appendix G. Tables.
Bibliography.
Author Index.
Subject Index.

G. A. F. Seber, C. J. Wild

Nonlinear Regression

ISBN: 0-471-47135-6
Paperback
768 pages
September 2003

Description

From the Reviews of Nonlinear Regression

"A very good book and an important one in that it is likely to become a standard reference for all interested in nonlinear regression; and I would imagine that any statistician concerned with nonlinear regression would want a copy on his shelves."
?The Statistician

"Nonlinear Regression also includes a reference list of over 700 entries. The compilation of this material and cross-referencing of it is one of the most valuable aspects of the book. Nonlinear Regression can provide the researcher unfamiliar with a particular specialty area of nonlinear regression an introduction to that area of nonlinear regression and access to the appropriate references . . . Nonlinear Regression provides by far the broadest discussion of nonlinear regression models currently available and will be a valuable addition to the library of anyone interested in understanding and using such models including the statistical researcher."
?Mathematical Reviews

Table of Contents

1. Model Building.
2. Estimation Methods.
3. Commonly Encountered Problems.
4. Measures of Curvature and Nonlinearity.
5. Statistical Inference.
6. Autocorrelated Errors.
7. Growth Models.
8. Compartmental Models.
9. Multiphase and Spline Regressions.
10. Errors-In-Variables Models.
11. Multiresponse Nonlinear Models.
12. Asymptotic Theory.
13. Unconstrained Optimization.
14. Computational Methods for Nonlinear Least Squares.
15. Software Considerations.
Appendix A. Vectors and Matrices
Appendix B. Differential Geometry.
Appendix C. Stochastic Differential Equations.
Appendix D. Multiple Linear Regression.
Appendix E. Minimization Subject to Linear Constraints.
References.
Author Index.
Subject Index.

Terje Aven

Foundations of Risk Analysis:
A Knowledge and Decision-Oriented Perspective

ISBN: 0-471-49548-4
Hardcover
206 pages
November 2003

Description

Everyday we face decisions that carry an element of risk and uncertainty. The ability to analyse, communicate and control the level of risk entailed by these decisions remains one of the most pressing challenges to the analyst, scientist and manager. This book presents the foundational issues in risk analysis  expressing risk, understanding what risk means, building risk models, addressing uncertainty, and applying probability models to real problems. The principal aim of the book is to give the reader the knowledge and basic thinking they require to approach risk and uncertainty to support decision making.
Presents a statistical framework for dealing with risk and uncertainty.
Includes detailed coverage of building and applying risk models and methods.
Offers new perspectives on risk, risk assessment and the use of parametric probability models.
Highlights a number of applications from business and industry.
Adopts a conceptual approach based on elementary probability calculus and statistical theory.
Foundations of Risk Analysis provides a framework for understanding, conducting and using risk analysis suitable for advanced undergraduates, graduates, analysts and researchers from statistics, engineering, finance, medicine and the physical sciences, as well as for managers facing decision making problems involving risk and uncertainty.

Table of Contents

Mi Lu

Arithmetic and Logic in Computer Systems

ISBN: 0-471-46945-9
Hardcover
270 pages
January 2004

Description

Arithmetic and Logic in Computer Systems provides a useful guide to a fundamental subject of computer science and engineering. Algorithms for performing operations like addition, subtraction, multiplication, and division in digital computer systems are presented, with the goal of explaining the concepts behind the algorithms, rather than addressing any direct applications. Alternative methods are examined, and explanations are supplied of the fundamental materials and reasoning behind theories and examples.
No other current books deal with this subject, and the author is a leading authority in the field of computer arithmetic. The text introduces the Conventional Radix Number System and the Signed-Digit Number System, as well as Residue Number System and Logarithmic Number System. This book serves as an essential, up-to-date guide for students of electrical engineering and computer and mathematical sciences, as well as practicing engineers and computer scientists involved in the design, application, and development of computer arithmetic units.

Table of Contents

Preface.
About the Author.
1. Computer Number Systems.
2. Addition and Subtractions.
3. High-Speed Adder.
4. Sequential Multiplication.
5. Parallel Multiplication.
6. Sequential Division.
7. Fast Array Dividers.
8. Floating Point Operations.
9. Residue Number Operations.
10. Operations through Logarithms.
11. Signed-Digit Number Operations.
Index.