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Directions in Robust Statistics and Diagnostics

Directions in Robust Statistics and Diagnostics PDF Author: Werner Stahel
Publisher: Springer Science & Business Media
ISBN: 1461244447
Category : Mathematics
Languages : en
Pages : 384

Book Description
This IMA Volume in Mathematics and its Applications DIRECTIONS IN ROBUST STATISTICS AND DIAGNOSTICS is based on the proceedings of the first four weeks of the six week IMA 1989 summer program "Robustness, Diagnostics, Computing and Graphics in Statistics". An important objective of the organizers was to draw a broad set of statisticians working in robustness or diagnostics into collaboration on the challenging problems in these areas, particularly on the interface between them. We thank the organizers of the robustness and diagnostics program Noel Cressie, Thomas P. Hettmansperger, Peter J. Huber, R. Douglas Martin, and especially Werner Stahel and Sanford Weisberg who edited the proceedings. A vner Friedman Willard Miller, Jr. PREFACE Central themes of all statistics are estimation, prediction, and making decisions under uncertainty. A standard approach to these goals is through parametric mod elling. Parametric models can give a problem sufficient structure to allow standard, well understood paradigms to be applied to make the required inferences. If, how ever, the parametric model is not completely correct, then the standard inferential methods may not give reasonable answers. In the last quarter century, particularly with the advent of readily available computing, more attention has been paid to the problem of inference when the parametric model used is not correctly specified.

Directions in Robust Statistics and Diagnostics

Directions in Robust Statistics and Diagnostics PDF Author: Werner Stahel
Publisher: Springer Science & Business Media
ISBN: 1461244447
Category : Mathematics
Languages : en
Pages : 384

Book Description
This IMA Volume in Mathematics and its Applications DIRECTIONS IN ROBUST STATISTICS AND DIAGNOSTICS is based on the proceedings of the first four weeks of the six week IMA 1989 summer program "Robustness, Diagnostics, Computing and Graphics in Statistics". An important objective of the organizers was to draw a broad set of statisticians working in robustness or diagnostics into collaboration on the challenging problems in these areas, particularly on the interface between them. We thank the organizers of the robustness and diagnostics program Noel Cressie, Thomas P. Hettmansperger, Peter J. Huber, R. Douglas Martin, and especially Werner Stahel and Sanford Weisberg who edited the proceedings. A vner Friedman Willard Miller, Jr. PREFACE Central themes of all statistics are estimation, prediction, and making decisions under uncertainty. A standard approach to these goals is through parametric mod elling. Parametric models can give a problem sufficient structure to allow standard, well understood paradigms to be applied to make the required inferences. If, how ever, the parametric model is not completely correct, then the standard inferential methods may not give reasonable answers. In the last quarter century, particularly with the advent of readily available computing, more attention has been paid to the problem of inference when the parametric model used is not correctly specified.

Microlocal Analysis and Nonlinear Waves

Microlocal Analysis and Nonlinear Waves PDF Author: Michael Beals
Publisher: Springer Science & Business Media
ISBN: 1461391369
Category : Mathematics
Languages : en
Pages : 205

Book Description
This IMA Volume in Mathematics and its Applications MICROLOCAL ANALYSIS AND NONLINEAR WAVES is based on the proceedings of a workshop which was an integral part of the 1988- 1989 IMA program on "Nonlinear Waves". We thank Michael Beals, Richard Melrose and Jeffrey Rauch for organizing the meeting and editing this proceedings volume. We also take this opportunity to thank the National Science Foundation whose financial support made the workshop possible. A vner Friedman Willard Miller, Jr. PREFACE Microlocal analysis is natural and very successful in the study of the propagation of linear hyperbolic waves. For example consider the initial value problem Pu = f E e'(RHd), supp f C {t ;::: O} u = 0 for t

Frontiers in Computational Chemistry: Volume 2

Frontiers in Computational Chemistry: Volume 2 PDF Author: Zaheer Ul-Haq
Publisher: Elsevier
ISBN: 1608059782
Category : Science
Languages : en
Pages : 446

Book Description
Frontiers in Computational Chemistry, originally published by Bentham and now distributed by Elsevier, presents the latest research findings and methods in the diverse field of computational chemistry, focusing on molecular modeling techniques used in drug discovery and the drug development process. This includes computer-aided molecular design, drug discovery and development, lead generation, lead optimization, database management, computer and molecular graphics, and the development of new computational methods or efficient algorithms for the simulation of chemical phenomena including analyses of biological activity. In Volume 2, the authors continue the compendium with nine additional perspectives in the application of computational methods towards drug design. This volume covers an array of subjects from modern hardware advances that accelerate new antibacterial peptide identification, electronic structure methods that explain how singlet oxygen damages DNA, to QSAR model validation, the application of DFT and DFRT methods on understanding the action of nitrogen mustards, the design of novel prodrugs using molecular mechanics and molecular orbital methods, computational simulations of lipid bilayers, high throughput screening methods, and more. - Brings together a wide range of research into a single collection to help researchers keep up with new methods - Uniquely focuses on computational chemistry approaches that can accelerate drug design - Makes a solid connection between experiment and computation, and the novel application of computational methods in the fields of biology, chemistry, biochemistry, physics, and biophysics

Patterns and Dynamics in Reactive Media

Patterns and Dynamics in Reactive Media PDF Author: Rutherford Aris
Publisher: Springer Science & Business Media
ISBN: 1461232066
Category : Science
Languages : en
Pages : 211

Book Description
Ever since the seminal works on traveling waves and morphogenesis by Fisher, by Kolmogorov, Petrovski and Piscunov, and by Turing, scientists from many disciplines have been fascinated by questions concerning the formation of steady or dynamic patterns in reactive media. Contributions to this volume have been made by chemists, chemical engineers, mathematicians (both pure and applied), and physicists. The topics covered range from reports of experimental studies, through descriptions of numerical experiments, to rather abstract theoretical investigations, each exhibiting different aspects of a very diverse field.

Chaotic Processes in the Geological Sciences

Chaotic Processes in the Geological Sciences PDF Author: David A. Yuen
Publisher: Springer Science & Business Media
ISBN: 1468406434
Category : Science
Languages : en
Pages : 333

Book Description
This IMA Volume in Mathematics and its Applications CHAOTIC PROCESSES IN THE GEOLOGICAL SCIENCES is based on the proceedings of a workshop which was an integral part of the 1989- 90 IMA program on "Dynamical Systems and their Applications". The workshop was intended to be an arena for scientific exchanges between earth scientists and mathematical researchers, especially with experts in dynamical systems. We thank Shui-Nee Chow, Martin Golubitsky, Richard McGehee, George R. Sell and David Yuen for organizing the meeting. We especially thank David Yuen for editing the proceedings. We also take this opportunity to thank those agencies whose financial support made the workshop possible: the Army Research Office, the Minnesota Supercomputer Institute, the National Science Foundation, and the Office of Naval Research. A vner Friedman Willard Miller, Jr. PREFACE The problems in geological sciences have many nonlinearities from the nature of the complicated physical laws which give rise to strongly chaotic behavior. Foremost and most visible are earthquakes and volcanic eruptions, more subtle are the time dependent variations of the Earth's magnetic fields and motions of the surface plates.

Partial Differential Equations with Minimal Smoothness and Applications

Partial Differential Equations with Minimal Smoothness and Applications PDF Author: B. Dahlberg
Publisher: Springer Science & Business Media
ISBN: 1461228980
Category : Mathematics
Languages : en
Pages : 227

Book Description
In recent years there has been a great deal of activity in both the theoretical and applied aspects of partial differential equations, with emphasis on realistic engineering applications, which usually involve lack of smoothness. On March 21-25, 1990, the University of Chicago hosted a workshop that brought together approximately fortyfive experts in theoretical and applied aspects of these subjects. The workshop was a vehicle for summarizing the current status of research in these areas, and for defining new directions for future progress - this volume contains articles from participants of the workshop.

Dynamical Issues in Combustion Theory

Dynamical Issues in Combustion Theory PDF Author: Paul C. Fife
Publisher: Springer Science & Business Media
ISBN: 1461209471
Category : Science
Languages : en
Pages : 264

Book Description
This IMA Volume in Mathematics and its Applications DYNAMICAL ISSUES IN COMBUSTION THEORY is based on the proceedings of a workshop which was an integral part of the 1989-90 IMA program on "Dynamical Systems and their Applications." The aim of this workshop was to cross-fertilize research groups working in topics of current interest in combustion dynamics and mathematical methods applicable thereto. We thank Shui-Nee Chow, Martin Golubitsky, Richard McGehee, George R. Sell, Paul Fife, Amable Liiian and Foreman Williams for organizing the meeting. We especially thank Paul Fife, Amable Liiilin and Foreman Williams for editing the proceedings. We also take this opportunity to thank those agencies whose financial support made the workshop possible: the Army Research Office, the National Science Foundation and the Office of Naval Research. Avner Friedman Willard Miller, Jr. ix PREFACE The world ofcombustion phenomena is rich in problems intriguing to the math ematical scientist. They offer challenges on several fronts: (1) modeling, which involves the elucidation of the essential features of a given phenomenon through physical insight and knowledge of experimental results, (2) devising appropriate asymptotic and computational methods, and (3) developing sound mathematical theories. Papers in the present volume, which are based on talks given at the Workshop on Dynamical Issues in Combustion Theory in November, 1989, describe how all of these challenges have been met for particular examples within a number of common combustion scenarios: reactiveshocks, low Mach number premixed reactive flow, nonpremixed phenomena, and solid propellants.

Mathematics in Industrial Problems

Mathematics in Industrial Problems PDF Author: Avner Friedman
Publisher: Springer Science & Business Media
ISBN: 1461391776
Category : Technology & Engineering
Languages : en
Pages : 212

Book Description
This is the fourth volume in the series "Mathematics in Industrial Prob lems." The motivation for these volumes is to foster interaction between Industry and Mathematics at the "grass roots"; that is, at the level of spe cific problems. These problems come from Industry: they arise from models developed by the industrial scientists in ventures directed at the manufac ture of new or improved products. At the same time, these problems have the potential for mathematical challenge and novelty. To identify such problems, I have visited industries and had discussions with their scientists. Some of the scientists have subsequently presented their problems in the IMA Seminar on Industrial Problems. The book is based on questions raised in the seminar and subsequent discussions. Each chapter is devoted to one of the talks and is self-contained. The chap ters usually provide references to the mathematical literature and a list of open problems which are of interest to the industrial scientists. For some problems partial solution is indicated briefly. The last chapter of the book contains a short description of solutions to some of the problems raised in the third volume, as well as references to papers in which such solutions have been published.

On the Evolution of Phase Boundaries

On the Evolution of Phase Boundaries PDF Author: Morton E. Gurtin
Publisher: Springer Science & Business Media
ISBN: 146139211X
Category : Mathematics
Languages : en
Pages : 144

Book Description
This IMA Volume in Mathematics and its Applications ON THE EVOLUTION OF PHASE BOUNDARIES is based on the proceedings of a workshop which was an integral part of the 1990- 91 IMA program on "Phase Transitions and Free Boundaries". The purpose of the workshop was to bring together mathematicians and other scientists working on the Stefan problem and related theories for modeling physical phenomena that occurs in two phase systems. We thank M.E. Gurtin and G. McFadden for editing the proceedings. We also take this opportunity to thank the National Science Foundation, whose financial support made the workshop possible. A vner Friedman Willard Miller, Jr. PREFACE A primary goal of the IMA workshop on the Evolution of Phase Boundaries from September 17-21, 1990 was to emphasize the interdisciplinary nature of contempo rary research in this field, research which combines ideas from nonlinear partial dif ferential equations, asymptotic analysis, numerical computation, and experimental science. The workshop brought together researchers from several disciplines, includ ing mathematics, physics, and both experimental and theoretical materials science.

The Collected Works of John W. Tukey

The Collected Works of John W. Tukey PDF Author: D.R. Cox
Publisher: CRC Press
ISBN: 9780412063213
Category : Mathematics
Languages : en
Pages : 344

Book Description
These papers illustrate important features characteristic of John Tukey's work, namely the desire to look beyond or beneath conventional set structures, the wish to detect and deal with anomalous behavior, and great technical ingenuity.