Perplexing Problems In Probability

Author : Maury Bramson
Publisher : Springer Science & Business Media
ISBN 13 : 1461221684
Total Pages : 393 pages
Book Rating : 4.85/5 ( download)

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Download or read book Perplexing Problems in Probability written by Maury Bramson and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Publisher :
ISBN 13 : 9781461221692
Total Pages : 412 pages
Book Rating : 4.92/5 ( download)

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Download or read book Perplexing Problems in Probability written by Maury Bramson and published by . This book was released on 1999-11-01 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Prakash Gorroochurn
Publisher : John Wiley & Sons
ISBN 13 : 1118063252
Total Pages : 341 pages
Book Rating : 4.55/5 ( download)

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Download or read book Classic Problems of Probability written by Prakash Gorroochurn and published by John Wiley & Sons. This book was released on 2016-05-02 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Thomas Povey
Publisher :
ISBN 13 : 9781780747767
Total Pages : pages
Book Rating : 4.64/5 ( download)

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Download or read book Professor Povey's Perplexing Problems written by Thomas Povey and published by . This book was released on 2015 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : T M Mills
Publisher : World Scientific Publishing Company
ISBN 13 : 9814551473
Total Pages : 192 pages
Book Rating : 4.72/5 ( download)

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Download or read book Problems in Probability written by T M Mills and published by World Scientific Publishing Company. This book was released on 2013-10-22 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Harry Kesten
Publisher : Springer Science & Business Media
ISBN 13 : 3662094444
Total Pages : 358 pages
Book Rating : 4.40/5 ( download)

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Download or read book Probability on Discrete Structures written by Harry Kesten and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most probability problems involve random variables indexed by space and/or time. These problems almost always have a version in which space and/or time are taken to be discrete. This volume deals with areas in which the discrete version is more natural than the continuous one, perhaps even the only one than can be formulated without complicated constructions and machinery. The 5 papers of this volume discuss problems in which there has been significant progress in the last few years; they are motivated by, or have been developed in parallel with, statistical physics. They include questions about asymptotic shape for stochastic growth models and for random clusters; existence, location and properties of phase transitions; speed of convergence to equilibrium in Markov chains, and in particular for Markov chains based on models with a phase transition; cut-off phenomena for random walks. The articles can be read independently of each other. Their unifying theme is that of models built on discrete spaces or graphs. Such models are often easy to formulate. Correspondingly, the book requires comparatively little previous knowledge of the machinery of probability.

Author : Erwin Bolthausen
Publisher : Springer
ISBN 13 : 3540479449
Total Pages : 469 pages
Book Rating : 4.44/5 ( download)

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Download or read book Lectures on Probability Theory and Statistics written by Erwin Bolthausen and published by Springer. This book was released on 2004-06-04 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Stephen Stich
Publisher : Oxford University Press
ISBN 13 : 0199875855
Total Pages : 432 pages
Book Rating : 4.56/5 ( download)

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Download or read book Collected Papers, Volume 2 written by Stephen Stich and published by Oxford University Press. This book was released on 2012-07-16 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Pierre Picco
Publisher : Springer Science & Business Media
ISBN 13 : 9783764321697
Total Pages : 246 pages
Book Rating : 4.95/5 ( download)

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Download or read book From Classical to Modern Probability written by Pierre Picco and published by Springer Science & Business Media. This book was released on 2003-10-24 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is based on the lecture notes of six courses delivered at a CIMPA Summer School in Temuco, Chile, in January 2001. The courses are: asymptotic of the heat kernel in unbounded domains; spin systems with long range interactions; non-linear Dirichlet problem and non-linear integration; first-passage percolation; central limit theorem for Markov processes; stochastic orders and stopping times in Brownian motion. The level of each course is that of a graduate course, but the material will also be of interest for the specialist.

Author : Boris Tsirelson
Publisher : Springer
ISBN 13 : 3540399828
Total Pages : 200 pages
Book Rating : 4.27/5 ( download)

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Download or read book Lectures on Probability Theory and Statistics written by Boris Tsirelson and published by Springer. This book was released on 2004-03-10 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.