Perplexing Problems In Probability

Author : Maury Bramson,Richard T. Durrett
Publisher : Springer Science & Business Media
Page : 393 pages
File Size : 50,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461221685

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Perplexing Problems in Probability by Maury Bramson,Richard T. Durrett Pdf

Harry Kesten has had a profound influence on probability theory for over 30 years. To honour his achievements a number of prominent probabilists have written survey articles on a wide variety of active areas of contemporary probability, many of which are closely related to Kesten's work.

Author : Maury Bramson,Richard T Durrett
Publisher : Unknown
Page : 412 pages
File Size : 45,9 Mb
Release : 1999-11-01
Category : Electronic
ISBN : 1461221692

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Perplexing Problems in Probability by Maury Bramson,Richard T Durrett Pdf

Author : Prakash Gorroochurn
Publisher : John Wiley & Sons
Page : 341 pages
File Size : 42,6 Mb
Release : 2016-05-02
Category : Mathematics
ISBN : 9781118063255

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Classic Problems of Probability by Prakash Gorroochurn Pdf

Winner of the 2012 PROSE Award for Mathematics from The American Publishers Awards for Professional and Scholarly Excellence. "A great book, one that I will certainly add to my personal library." —Paul J. Nahin, Professor Emeritus of Electrical Engineering, University of New Hampshire Classic Problems of Probability presents a lively account of the most intriguing aspects of statistics. The book features a large collection of more than thirty classic probability problems which have been carefully selected for their interesting history, the way they have shaped the field, and their counterintuitive nature. From Cardano's 1564 Games of Chance to Jacob Bernoulli's 1713 Golden Theorem to Parrondo's 1996 Perplexing Paradox, the book clearly outlines the puzzles and problems of probability, interweaving the discussion with rich historical detail and the story of how the mathematicians involved arrived at their solutions. Each problem is given an in-depth treatment, including detailed and rigorous mathematical proofs as needed. Some of the fascinating topics discussed by the author include: Buffon's Needle problem and its ingenious treatment by Joseph Barbier, culminating into a discussion of invariance Various paradoxes raised by Joseph Bertrand Classic problems in decision theory, including Pascal's Wager, Kraitchik's Neckties, and Newcomb's problem The Bayesian paradigm and various philosophies of probability Coverage of both elementary and more complex problems, including the Chevalier de Méré problems, Fisher and the lady testing tea, the birthday problem and its various extensions, and the Borel-Kolmogorov paradox Classic Problems of Probability is an eye-opening, one-of-a-kind reference for researchers and professionals interested in the history of probability and the varied problem-solving strategies employed throughout the ages. The book also serves as an insightful supplement for courses on mathematical probability and introductory probability and statistics at the undergraduate level.

Author : T M Mills
Publisher : World Scientific Publishing Company
Page : 192 pages
File Size : 50,8 Mb
Release : 2013-10-22
Category : Mathematics
ISBN : 9789814551472

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Problems in Probability by T M Mills Pdf

This is a book of problems in probability and their solutions. The work has been written for undergraduate students who have a background in calculus and wish to study probability. Probability theory is a key part of contemporary mathematics. The subject plays a key role in the insurance industry, modelling financial markets, and statistics in general — including all those fields of endeavour to which statistics is applied (e.g. health, physical sciences, engineering, economics, social sciences). Every student majoring in mathematics at university ought to take a course on probability or mathematical statistics. Probability is now a standard part of high school mathematics, and teachers ought to be well versed and confident in the subject. Problem solving is important in mathematics. This book combines problem solving and probability.

Author : Stephen Stich
Publisher : Oxford University Press
Page : 432 pages
File Size : 45,6 Mb
Release : 2012-07-16
Category : Philosophy
ISBN : 9780199875856

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Collected Papers, Volume 2 by Stephen Stich Pdf

This volume collects the best and most influential essays on knowledge, rationality and morality that Stephen Stich has published in the last 40 years. All of the essays are concerned, in one way or another, with the ways in which findings and theories in the cognitive sciences can contribute to, and sometimes reshape traditional philosophical conversations and debates. A central theme in the essays on epistemology and rationality is the philosophical significance of empirical work on human reasoning done by researchers in the "heuristics and biases" tradition, and by their critics in evolutionary psychology. In the essays on morality, a wide range of empirical work is explored, including studies of the psychological foundations of norms, work on the moral / conventional distinction, and empirical attempts to determine whether humans ever act on altruistic motives. Stich was one of the pioneers in the experimental philosophy movement, and work in experimental philosophy plays a prominent role in many of these essays. The volume includes a new introductory essay that offers an overview of the papers and traces the history of how they emerged.

Author : Thomas Povey
Publisher : Unknown
Page : 128 pages
File Size : 50,9 Mb
Release : 2015
Category : Mathematics
ISBN : 1780747764

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Professor Povey's Perplexing Problems by Thomas Povey Pdf

Author : Boris Tsirelson,Wendelin Werner
Publisher : Springer
Page : 200 pages
File Size : 41,7 Mb
Release : 2004-03-10
Category : Mathematics
ISBN : 9783540399827

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Lectures on Probability Theory and Statistics by Boris Tsirelson,Wendelin Werner Pdf

This is yet another indispensable volume for all probabilists and collectors of the Saint-Flour series, and is also of great interest for mathematical physicists. It contains two of the three lecture courses given at the 32nd Probability Summer School in Saint-Flour (July 7-24, 2002). Tsirelson's lectures introduce the notion of nonclassical noise produced by very nonlinear functions of many independent random variables, for instance singular stochastic flows or oriented percolation. Werner's contribution gives a survey of results on conformal invariance, scaling limits and properties of some two-dimensional random curves. It provides a definition and properties of the Schramm-Loewner evolutions, computations (probabilities, critical exponents), the relation with critical exponents of planar Brownian motions, planar self-avoiding walks, critical percolation, loop-erased random walks and uniform spanning trees.

Author : Erwin Bolthausen,Edwin Perkins,Aad, van der Vaart
Publisher : Springer Science & Business Media
Page : 469 pages
File Size : 48,8 Mb
Release : 2002-08-20
Category : Mathematics
ISBN : 9783540437369

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Lectures on Probability Theory and Statistics by Erwin Bolthausen,Edwin Perkins,Aad, van der Vaart Pdf

This volume contains lectures given at the Saint-Flour Summer School of Probability Theory during the period 8th-24th July, 1999. We thank the authors for all the hard work they accomplished. Their lectures are a work of reference in their domain. The School brought together 85 participants, 31 of whom gave a lecture concerning their research work. At the end of this volume you will find the list of participants and their papers. Finally, to facilitate research concerning previous schools we give here the number of the volume of "Lecture Notes" where they can be found: Lecture Notes in Mathematics 1975: n ° 539- 1971: n ° 307- 1973: n ° 390- 1974: n ° 480- 1979: n ° 876- 1976: n ° 598- 1977: n ° 678- 1978: n ° 774- 1980: n ° 929- 1981: n ° 976- 1982: n ° 1097- 1983: n ° 1117- 1988: n ° 1427- 1984: n ° 1180- 1985-1986 et 1987: n ° 1362- 1989: n ° 1464- 1990: n ° 1527- 1991: n ° 1541- 1992: n ° 1581- 1993: n ° 1608- 1994: n ° 1648- 1995: n ° 1690- 1996: n ° 1665- 1997: n ° 1717- 1998: n ° 1738- Lecture Notes in Statistics 1971: n ° 307- Table of Contents Part I Erwin Bolthausen: Large Deviations and Interacting Random Walks 1 On the construction of the three-dimensional polymer measure. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 2 Self-attracting random walks. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39 3 One-dimensional pinning-depinning transitions. . . . . . . . . . . 105 References. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Author : Marshall Cohen
Publisher : Princeton University Press
Page : 321 pages
File Size : 48,5 Mb
Release : 2014-07-14
Category : Medical
ISBN : 9781400853564

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Medicine and Moral Philosophy by Marshall Cohen Pdf

Responding to the increased public interest in the moral aspects of medical practice, this collection of essays focuses on questions of justice and injustice in the delivery and distribution of medical care and on problems concerning the rights of patients in their relationship to doctors, medical institutions, and government. Originally published in 1982. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Author : Arthur W. Munk
Publisher : Unknown
Page : 184 pages
File Size : 51,8 Mb
Release : 1954
Category : Apologetics
ISBN : WISC:89003578366

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Perplexing Problems of Religion by Arthur W. Munk Pdf

Author : Alan Julian Izenman
Publisher : Cambridge University Press
Page : 501 pages
File Size : 52,7 Mb
Release : 2022-12-31
Category : Mathematics
ISBN : 9781108835763

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Network Models for Data Science by Alan Julian Izenman Pdf

This is the first book to describe modern methods for analyzing complex networks arising from a wide range of disciplines.

Author : Stéphane Boucheron,Gábor Lugosi,Pascal Massart
Publisher : OUP Oxford
Page : 492 pages
File Size : 55,9 Mb
Release : 2013-02-07
Category : Mathematics
ISBN : 9780191655517

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Concentration Inequalities by Stéphane Boucheron,Gábor Lugosi,Pascal Massart Pdf

Concentration inequalities for functions of independent random variables is an area of probability theory that has witnessed a great revolution in the last few decades, and has applications in a wide variety of areas such as machine learning, statistics, discrete mathematics, and high-dimensional geometry. Roughly speaking, if a function of many independent random variables does not depend too much on any of the variables then it is concentrated in the sense that with high probability, it is close to its expected value. This book offers a host of inequalities to illustrate this rich theory in an accessible way by covering the key developments and applications in the field. The authors describe the interplay between the probabilistic structure (independence) and a variety of tools ranging from functional inequalities to transportation arguments to information theory. Applications to the study of empirical processes, random projections, random matrix theory, and threshold phenomena are also presented. A self-contained introduction to concentration inequalities, it includes a survey of concentration of sums of independent random variables, variance bounds, the entropy method, and the transportation method. Deep connections with isoperimetric problems are revealed whilst special attention is paid to applications to the supremum of empirical processes. Written by leading experts in the field and containing extensive exercise sections this book will be an invaluable resource for researchers and graduate students in mathematics, theoretical computer science, and engineering.

Author : Michael Falk,Jürg Hüsler,Rolf-Dieter Reiss
Publisher : Birkhäuser
Page : 381 pages
File Size : 42,7 Mb
Release : 2013-11-11
Category : Mathematics
ISBN : 9783034877916

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Laws of Small Numbers: Extremes and Rare Events by Michael Falk,Jürg Hüsler,Rolf-Dieter Reiss Pdf

Since the publication of the first edition of this seminar book, the theory and applications of extremes and rare events have seen increasing interest. Laws of Small Numbers gives a mathematically oriented development of the theory of rare events underlying various applications. The new edition incorporates numerous new results on about 130 additional pages. Part II, added in the second edition, discusses recent developments in multivariate extreme value theory.

Author : Evariste Giné,Christian Houdré,David Nualart
Publisher : Birkhäuser
Page : 362 pages
File Size : 42,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034880695

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Stochastic Inequalities and Applications by Evariste Giné,Christian Houdré,David Nualart Pdf

Concentration inequalities, which express the fact that certain complicated random variables are almost constant, have proven of utmost importance in many areas of probability and statistics. This volume contains refined versions of these inequalities, and their relationship to many applications particularly in stochastic analysis. The broad range and the high quality of the contributions make this book highly attractive for graduates, postgraduates and researchers in the above areas.

Author : Ulug Capar
Publisher : Springer Science & Business Media
Page : 224 pages
File Size : 50,9 Mb
Release : 2003-04
Category : Mathematics
ISBN : 3764369981

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Stochastic Analysis and Related Topics VIII by Ulug Capar Pdf

Over the last years, stochastic analysis has had an enormous progress with the impetus originating from different branches of mathematics: PDE's and the Malliavin calculus, quantum physics, path space analysis on curved manifolds via probabilistic methods, and more. This volume contains selected contributions which were presented at the 8th Silivri Workshop on Stochastic Analysis and Related Topics, held in September 2000 in Gazimagusa, North Cyprus. The topics include stochastic control theory, generalized functions in a nonlinear setting, tangent spaces of manifold-valued paths with quasi-invariant measures, and applications in game theory, theoretical biology and theoretical physics. Contributors: A.E. Bashirov, A. Bensoussan and J. Frehse, U. Capar and H. Aktuglul, A.B. Cruzeiro and Kai-Nan Xiang, E. Hausenblas, Y. Ishikawa, N. Mahmudov, P. Malliavin and U. Taneri, N. Privault, A.S. Üstünel