Peter J. Rousseeuw, Annick M. Leroy

Robust Regression and Outlier Detection

ISBN: 0-471-48855-0
Paperback
329 pages
September 2003

Description

"I would highly recommend the addition of this book to the libraries of both students and professionals. It is a useful textbook for the graduate student, because it emphasizes both the philosophy and practice of robustness in regression settings, and it provides excellent examples of precise, logical proofs of theorems. . . .Even for those who are familiar with robustness, the book will be a good reference because it consolidates the research in high-breakdown affine equivariant estimators and includes an extensive bibliography in robust regression, outlier diagnostics, and related methods. The aim of this book, the authors tell us, is eto make robust regression available for everyday statistical practice.f Rousseeuw and Leroy have included all of the necessary ingredients to make this happen."
?Journal of the American Statistical Association

Table of Contents

Introduction.
Simple Regression.
Multiple Regression.
The Special Case of One-Dimensional Location.
Algorithms.
Outlier Diagnostics.
Related Statistical Techniques.
References.
Table of Data Sets.
Index.

Eric M. Vestrup

Measure Theory and Its Applications

ISBN: 0-471-24977-7
Hardcover
624 pages
September 2003

Description

An accessible, clearly organized survey of the basic topics of measure theory for students and researchers in mathematics, statistics, and physics
In order to fully understand and appreciate advanced probability, analysis, and advanced mathematical statistics, a rudimentary knowledge of measure theory and like subjects must first be obtained. The Theory of Measures and Integration illuminates the fundamental ideas of the subject?fascinating in their own right?for both students and researchers, providing a useful theoretical background as well as a solid foundation for further inquiry.

Eric Vestrupfs patient and measured text presents the major results of classical measure and integration theory in a clear and rigorous fashion. Besides offering the mainstream fare, the author also offers detailed discussions of extensions, the structure of Borel and Lebesgue sets, set-theoretic considerations, the Riesz representation theorem, and the Hardy-Littlewood theorem, among other topics, employing a clear presentation style that is both evenly paced and user-friendly. Chapters include:

Measurable Functions
The Lp Spaces
The Radon-Nikodym Theorem
Products of Two Measure Spaces
Arbitrary Products of Measure Spaces
Sections conclude with exercises that range in difficulty between easy "finger exercises"and substantial and independent points of interest. These more difficult exercises are accompanied by detailed hints and outlines. They demonstrate optional side paths in the subject as well as alternative ways of presenting the mainstream topics.

In writing his proofs and notation, Vestrup targets the person who wants all of the details shown up front. Ideal for graduate students in mathematics, statistics, and physics, as well as strong undergraduates in these disciplines and practicing researchers, The Theory of Measures and Integration proves both an able primary text for a real analysis sequence with a focus on measure theory and a helpful background text for advanced courses in probability and statistics.

Table of Contents

Preface.
Acknowledgments.
Set Systems.
Measures.
Extensions of Measures.
Lebesgue Measure.
Measurable Functions.
The Lebesgue Integral.
Integrals Relative to Lebesgue Measure.
The Lp Space.
The Radon-Nikodym Theorem.
Products of Two Measure Spaces.
Arbitrary Products of Measure Spaces.
References.

Gianpaolo Ghiani, Gilbert Laporte, Roberto Musmanno

Introduction to Logistics Systems Planning and Control

ISBN: 0-470-84916-9
Hardcover
ISBN: 0-470-84917-7
Paperback
360 pages
January 2004

Description

Logistic systems constitute one of the cornerstones in the design and control of production systems and the modelling of supply chains. They are key to a number of industries, and courses teaching logistics systems planning and control are becoming more widespread. Introduction to Logistics Systems Planning and Control is the first book to present the quantitative methods necessary for logistics systems management at a level suitable for students of engineering, computer science and management science. It features introductory material on business logistics and covers sales forecasting, inventory management, warehouse design and management, and transport planning and control.
Presents a balanced treatment of quantitative methods for logistics systems planning, organization and control.
Each topic is illustrated with real examples.
Features a number of case studies that show how the methods can be applied to complex logistics problems.
Each chapter features an annotated bibliography of key references.
Assumes only a basic knowledge of operations research.
Supported by a Website featuring exercises and teaching material.
Introduction to Logistics Systems Planning and Control provides an accessible self-contained introduction to the subject for researchers, practitioners, and students of logistics and supply chain management, in both academia and industry. The book has been developed from courses taught to engineering, computer science and management science undergraduate and graduate students.

Table of Contents

Foreword.
Preface.
Problems and Website.
Acknowledgements.
About the Authors.
Introducing Logistics Systems.
Forecasting Logistics Requirements.
Designing the Logistics Network.
Solving Inventory Management Problems.
Designing and Operating a Warehouse.
Planning and Managing Long-Haul Freight Transportation.
Planning and Managing Short-Haul Freight Transportation.
Linking Theory and Practice.
Abbreviations.

Marvin Rausand, Arnljot Hoyland

System Reliability Theory: Models and Statistical Methods, 2nd Edition

ISBN: 0-471-47133-X
Hardcover
664 pages
November 2003

Description

Several recent standards, such as the IEC 60300-series and IEC 61508, have changed the focus of reliability engineering and introduced new concepts and terminology into the field. Updating the previous edition, System Reliability Theory: Models and Statistical Methods, Second Edition introduces and discusses basic assessment methods for operational availability and production regularity and provides insight into the latest developments in the field.

Table of Contents

Preface.
Acknowledgments.
1. Introduction.
2. Failure Models.
3. Qualitative Systems Analysis.
4. Systems of Independent Components.
5. Component Importance.
6. Dependent Failures.
7. Counting Processes.
8. Markov Models.
9. Reliability of Maintained Systems.
10. Reliability of Safety Systems.
11. Life Data Analysis.
12. Accelerated Life Testing.
13. Bayesian Reliability Analysis.
14. Reliability Data Sources.
Appendix A. The Gamma and Beta Functions.
Appendix B. Laplace Transforms.
Appendix C. Kronecker Products.
Appendix D. Distribution Theorems.