Editor(s): S. G. Dani, P. Graczyk

Probability Measures on Groups: Recent Directions and Trends

ISBN: 81-7319-703-2
Publication Year: September 2005
Pages: 360
Binding: Hard Back
Dimension: 185mm x 240mm

About the book

Many aspects of the classical probability theory based on vector spaces were generalised in the second half of the twentieth century to measures on groups, especially Lie groups. The subject of Probability measures on groups, that emerged out this research has continued to grow and many interesting new developments have occurred in the area in recent years. A School was organised jointly with CIMPA, France and the Tata Institute of Fundamental Research entitled ``Probability Measures on Groups: Recent Directions and Trends'' during 9--22 September 2002 in Mumbai. Lecture courses were given at the School by M. Babillot (Orlean, France), D. Bakry (Toulouse, France), S.G. Dani (Tata Institute, Mumbai), J. Faraut (Paris), Y. Guivarc'h (Rennes, France) and M. McCrudden (Manchester, U.K.), aimed at introducing various advanced topics on the theme to students as well as teachers and practicing mathematicians desirous of getting acquainted with the area. The prerequisites for the courses were limited to only with basic background in measure theory, harmonic analysis and elementary Lie group theory. The courses were well-received. Notes were prepared and distributed to the participants during the courses. The present volume represents improved, edited and refereed versions of the notes, brought out for dissemination of the topics to the wider community.

Table of content

Preface / An Introduction to Poisson Boundaries of Lie Groups / Functional Inequalities for Markov Semigroups / Asymptotic Behaviour of Measures Under Automorphisms / Infinite Dimensional Harmonic Analysis and Probability / Limit Theorems for Random Walks and Products of Random Matrices / The Embedding Problem for Probabilities on Locally Compact Groups.

Richard P. Feynman

Classic Feynman
All the Adventures of a Curious Character

Edited by Ralph Leighton with an introduction by Freeman Dyson and an afterword by Alan Alda

An omnibus edition celebrating a great scientific mind and a legendary American original?including a live recording.

RICHARD FEYNMAN (1918?1988) thrived on outrageous adventures. In the phenomenal national bestsellers "Surely You're Joking, Mr. Feynman!" and "What Do You Care What Other People Think?" the Nobel Prize? winning physicist recounted in an inimitable voice his adventures trading ideas on atomic physics with Einstein and Bohr and ideas on gambling with Nick the Greek, painting a naked female toreador, accompanying a ballet on his bongo drums, solving the mystery of the Challenger disaster, and much else of an eyebrow-raising, hugely entertaining, and astounding nature. One of the most influential and creative minds of recent history, Feynman also possessed an unparalleled ability as a storyteller, a delightful coincidence celebrated in this special omnibus edition of his classic stories. Now packaged with an hour-long audio CD of the 1978 "Los Alamos from Below" lecture, Classic Feynman offers readers a chance to finally hear a great tale in the orator's own voice.

RALPH LEIGHTON, Richard Feynman's great friend and collaborator, lives in Tiburon, California.

October 2005 / hardcover / ISBN 0-393-06132-9 / 608 pages

Edited by Richard Swinburne

Bayes's Theorem

NEW IN PAPERBACK
0-19-726341-0
Publication date: 12 May 2005
160 pages, 3 tables, 3 figures, 234mm x 156mm

Description

An important study of a powerful but controversial theorem of the probability calculus

Bayes's theorem is a tool for assessing how probable evidence makes some hypothesis. The papers in this volume consider the worth and applicability of the theorem. Richard Swinburne sets out the philosophical issues. Elliott Sober argues that there are other criteria for assessing hypotheses. Colin Howson, Philip Dawid and John Earman consider how the theorem can be used in statistical science, in weighing evidence in criminal trials, and in assessing evidence for the occurrence of miracles. David Miller argues for the worth of the probability calculus as a tool for measuring propensities in nature rather than the strength of evidence. The volume ends with the original paper containing the theorem, presented to the Royal Society in 1763.

Readership: Scholars and students of the philosophy of mathematics and probability

Contents

Richard Swinburne: Introduction
Elliott Sober: Bayesianism - its scopes and limits
Colin Howson: Bayesianism in Statistics
A P Dawid: Bayes's Theorem and Weighing Evidence by Juries
John Earman: Bayes, Hume, Price, and Miracles
David Miller: Propensities May Satisfy Bayes's Theorem
'An Essay Towards Solving a Problem in the Doctrine of Chances' by Thomas Bayes, presented to the Royal Society by Richard Price. Preceded by a historical introduction by G A Barnard.

Edited by Richard Swinburne, Emeritus Nolloth Professor of the Philosophy of the Christian Religion, Oxford; Fellow of the British Academy

Contributors: Philip Dawid, University College London John Earman, University of PIttsburgh Colin Howson, London School of Economics and Political Science David Miller, University of Warwick Elliot Sober, University of Winsconsin Richard Swinburne, Emeritus Nolloth Professor of the Philosophy of the Christian Religion, Oxford; Fellow of the British Academy


Daniel Zelterman

Models for Discrete Data
Revised Edition

0-19-856701-4
Publication date: 16 March 2006
296 pages, 25 line figures, 234mm x 156mm

Description

This revised edition contains 54% more exercises (including 84% more applied exercises) to encourage exploration of the subject.
Many numerical examples to illustrate the statistical theory
Programs in SAS to show the reader how to perform their own analysis and teach the software
Sections on power and sample size estimation address one of the most difficult and frequently asked questions
New to this edition
This revised edition provides 54% more exercises than the previous edition (inlcuding 84% more applied exercises), greatly improving its suitability for use in the classroom. A new section has also been added covering Poisson regression.

Discrete or count data arise in experiments where the outcome variables are the numbers of individuals classified into unique, non-overlapping categories. This revised edition describes the statistical models used in the analysis and summary of such data, and provides a sound introduction to the subject for graduate students and practitioners needing a review of the methodology. With many numerical examples throughout, it includes topics not covered in depth elsewhere, such as the negative multinomial distribution; the many forms of the hypergeometric distribution; and coordinate free models. A detailed treatment of sample size estimation and power are given in terms of both exact inference and asymptotic, non-central chi-squared methods. A new section covering Poisson regression has also been included. An important feature of this book, missing elsewhere, is the integration of the software into the text.

Many more exercises are provided (including 84% more applied exercises) than in the previous edition, helping consolidate the reader's understanding of all subjects covered, and making the book highly suitable for use in a classroom setting. Several new datasets, mostly from the health and medical sector, are discussed, including previously unpublished data from a study of Tourette's Syndrome in children.

Readership: Text for a graduate-level course Statistical practitioners, graduate students

Contents

1 Introduction
2 Sampling distributions
3 Logistic regression
4 Log-linear models
5 Coordinate-free models
6 Additional topics
Appendix A: Power for chi-squared tests
Appendix B: Program for exact tests
Appendix C: The hypergeometric distribution
References
Selected solutions and hints
Index
Examples index
Author index
Subject index


Azhmyakov, Vadim

Stable Operators in Analysis and Optimization

Year of Publication: 2005

Frankfurt am Main, Berlin, Bern, Bruxelles, New York, Oxford, Wien, 2005. X, 144 pp.
ISBN 3-631-53403-5 / US-ISBN 0-8204-7669-2 pb.

Book synopsis

The main purpose of this book is to provide an advanced account of some aspects of differentiable stable operators in Banach and Hilbert spaces. The theory of linear and nonlinear stable operators is presented in a systematic way and possible applications are described. The book is useful to graduate students and researchers.

Contents

Contents: Stability Concept - Stable Operators and Well-Posedness - Generalization to Nonlinear Problems - Stable Operators in Optimization.

About the author(s)/editor(s)

The Author: Vadim Azhmyakov, born in 1965, graduated in 1989 from the Department of Applied Mathematics of the Technical University of Moscow. He gained a PhD in Applied Mathematics in 1994. Since 1999 the author has been working as a researcher and lecturer at the University of Greifswald.