Paradoxes in Probability Theory

The short and infrequent bursts of mathematics in this book, mostly in the chapter
on the Two-Envelopes paradox, are of the sort that some find ... Szekely, Gabor J.
(1986) Paradoxes in probability theory and mathematical statistics, D. Reidel ...

Author: William Eckhardt

Publisher: Springer Science & Business Media

ISBN: 9789400751392

Category: Mathematics

Page: 79

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Paradoxes provide a vehicle for exposing misinterpretations and misapplications of accepted principles. This book discusses seven paradoxes surrounding probability theory. Some remain the focus of controversy; others have allegedly been solved, however the accepted solutions are demonstrably incorrect. Each paradox is shown to rest on one or more fallacies. Instead of the esoteric, idiosyncratic, and untested methods that have been brought to bear on these problems, the book invokes uncontroversial probability principles, acceptable both to frequentists and subjectivists. The philosophical disputation inspired by these paradoxes is shown to be misguided and unnecessary; for instance, startling claims concerning human destiny and the nature of reality are directly related to fallacious reasoning in a betting paradox, and a problem analyzed in philosophy journals is resolved by means of a computer program.​
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Probability Theory and Mathematical Statistics

descript i on of the cond it i ons on £ and m under which Lord 's paradox takes
place. Then we show that Lord 's paradox can occur not on 1 y for MAD criter i on
(Theorem 2 ) . Furthermore, having in mind the vector version of Lord 's paradox ...

Author: Shinzo Watanabe

Publisher: Springer

ISBN: 9783540481874

Category: Mathematics

Page: 590

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These proceedings of the fifth joint meeting of Japanese and Soviet probabilists are a sequel to Lecture Notes in Mathematics Vols. 33O, 550 and 1O21. They comprise 61 original research papers on topics including limit theorems, stochastic analysis, control theory, statistics, probabilistic methods in number theory and mathematical physics.
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Probability Theory and Mathematical Statistics for Engineers

1.3 The relative frequency approach to probability The classical definition (1.1) is
frequently used and works well in many ... This definition, however – although
useful in many cases – ran into some paradoxical results and was criticized to the
 ...

Author: Paolo L. Gatti

Publisher: CRC Press

ISBN: 0203305434

Category: Architecture

Page: 368

View: 277

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Probability Theory and Statistical Methods for Engineers brings together probability theory with the more practical applications of statistics, bridging theory and practice. It gives a series of methods or recipes which can be applied to specific problems. This book is essential reading for practicing engineers who need a sound background knowledge of probabilistic and statistical concepts and methods of analysis for their everyday work. It is also a useful guide for graduate engineering students.
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Probability Theory Random Processes and Mathematical Statistics

Other Mathematics and Its Applications titles of interest : 264 pp . P . M . Alberti
and A . Uhlmann ... ISBN 90 - 277 - 2253 - 6 G . J . Szekely : Paradoxes in
Probability Theory and Mathematical Statistics . 1987 , ISBN 90 - 277 - 1899 - 7 0
. 1 .

Author: IUrii A. Rozanov

Publisher: Springer

ISBN: UOM:39015037306837

Category: Mathematics

Page: 255

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The second part (Chapters 4-6) provides a foundation of stochastic analysis, gives information on basic models of random processes and tools to study them. Here a certain familiarity with elements of functional analysis is necessary. Important material is presented in the form of examples to keep readers involved. Audience: This is a concise textbook for a graduate level course, with carefully selected topics representing the most important areas of modern probability, random processes and statistics.
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Probability Theory and Mathematical Statistics

... contain a solution of the computerized tomography ( CT ) paradox ( 3 ) . These
estimates open the possibility for a construction of a new method of inversion of
the Radon transformation without any usual uncontrolled mathematical artifacts .

Author: Ibragimoc

Publisher: CRC Press

ISBN: 2919875140

Category: Mathematics

Page: 320

View: 371

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The topics treated fall into three main groups, all of which deal with classical problems which originated in the work of Kolmogorov. The first section looks at probability limit theorems, the second deals with stochastic analysis, and the final part presents some papers on non-parametric and semi-parametric models of mathematical statistics and asymptotic problems. The contributions come from some of the foremost mathematicians in the world today, making for a truly international collection of papers, permeated with the influence of Kolmogorov's works.
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Mathematica revue d analyse num rique et de th orie de l approximation

BOOK REVIEW Gábor J . Székely , Paradoxes in Probability Theory and
Mathematical Statistics , Akadémia Kiadó , Budapest and D . Reidel Publishing
Co . Dordrecht , Holland , 1990 . , Paradoxa . Klassiche und neue
Überraschungen aus ...

Author:

Publisher:

ISBN: UOM:39015035147431

Category: Mathematics

Page:

View: 537

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Vol. 3, 9: Compte rendu du 1.[-2] Congrés des mathematiciens roumains.
705 Download

Mathematics Common Sense

The paradoxes of probability theory have filled numerous books, and Benjamin
Disraeli's gag that there are “lies, damn lies, and statistics” is trotted out frequently
. This essay and the next two offer a few observations relating to the conflict.

Author: Philip J. Davis

Publisher: CRC Press

ISBN: 9781439864326

Category: Mathematics

Page: 250

View: 715

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From the Preface: "This book is addressed to all who are curious about the nature of mathematics and its role in society. It is neither a text book nor a specialists' book. It consists of a number of loosely linked essays that may be read independently and for which I have tried to provide a leitmotif by throwing light on the relationship between m
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The Mathematical Gazette

G. J. G. UPTON Department of Mathematics , University of Essex , Wivenhoe Park
, Colchester C04 3SQ Paradoxes in probability theory and mathematical statistics
, by Gábor J. Székely . Pp 250 . £ 41 : 50 . 1987. Translated from the ...

Author:

Publisher:

ISBN: UCSD:31822020228516

Category: Mathematics

Page:

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661 Download

Acta scientiarum mathematicarum

... devoted to the oldest and most classical paradoxes of probability theory
connected to problems of chance like card - playing , lottery , horse kickings and
misprints . . . to name a few . Chapter 2 presents paradoxes in mathematical
statistics .

Author: József Attila Tudományegyetem

Publisher:

ISBN: UCAL:B4477825

Category: Mathematics

Page:

View: 143

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957 Download

Understanding Probability and Statistics

Paradoxes in probability theory and mathematical statistics . Dordrecht , Holland :
Reidel . [ 39 , 43 , 187 ] Troccolo , J . A . ( 1977 ) . Randomness in physics and
mathematics . Mathematics Teacher , 70 , 772 – 774 . [ 33 , 34 , 152 , 154 , 156 ] ...

Author: Ruma Falk

Publisher: A K Peters/CRC Press

ISBN: UVA:X002327605

Category: Mathematics

Page: 239

View: 182

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755 Download

Bulletin

FLW Paradoxes in Probability Theory and Mathematical Statistics . Gábor J.
Székely . Math . & Its Applic . D. Reidel ( US ... ( ISBN : 90-277-1899-7 ] A
fascinating exposition of paradoxical results in probability , statistics , random
processes , and ...

Author:

Publisher:

ISBN: UCAL:B4022902

Category:

Page:

View: 920

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536 Download

Mathematics of Chance

Challenges for enriching the curriculum : Statistics and probability . The Math .
Teacher 76 : 268 – 269 . 111 . Székely , G . J . ( 1986 ) . Paradoxes in Probability
Theory and Mathematical Statistics . Akadémiai Kiadó , Budapest . 112 . Tata , M
 ...

Author: Jiří Anděl

Publisher: Wiley-Interscience

ISBN: UOM:39015055734100

Category: Mathematics

Page: 233

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Mathematics of Chance utilizes simple, real-world problems-some of which have only recently been solved-to explain fundamental probability theorems, methods, and statistical reasoning. Jirí Andel begins with a basic introduction to probability theory and its important points before moving on to more specific sections on vital aspects of probability, using both classic and modern problems. Each chapter begins with easy, realistic examples before covering the general formulations and mathematical treatments used. The reader will find ample use for a chapter devoted to matrix games and problem sets concerning waiting, probability calculations, expectation calculations, and statistical methods. A special chapter utilizes problems that relate to areas of mathematics outside of statistics and considers certain mathematical concepts from a probabilistic point of view. Sections and problems cover topics including: ? Random walks ? Principle of reflection ? Probabilistic aspects of records ? Geometric distribution ? Optimization ? The LAD method, and more Knowledge of the basic elements of calculus will be sufficient in understanding most of the material presented here, and little knowledge of pure statistics is required. Jirí Andel has produced a compact reference for applied statisticians working in industry and the social and technical sciences, and a book that suits the needs of students seeking a fundamental understanding of probability theory.
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The Penguin Book of Curious and Interesting Mathematics

Paul Valéry and mathematics , page III Pierre Féline , ' Memories of Paul Valéry ' ,
in Paul Valéry , Moi , trans . ... The last two examples are taken from : G . J .
Székely , Paradoxes in Probability Theory and Mathematical Statistics , Reidel ...

Author: David G. Wells

Publisher: Penguin Group USA

ISBN: UVA:X004264747

Category: Mathematics

Page: 319

View: 267

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David Wells's intriguing anthology spans the centuries as he introduces a collection of choice eccentrics: people who looked for logical loopholes in the American Constitution, calmed their nerves with algebra or used sextants to measure the buttocks of Hottentot women. Along with Newton's views on chance and chaos, scenes from the life of Pythagoras and legal attempts to lay down the value of (pi), he presents maths in the Bible as well as maths and misogyny, madness and the military.
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An Introduction to Probability and Statistics

1.1 INTRODUCTION The theory of probability had its origin in gambling and
games of chance. It owes ... Unfortunately, this association with gambling
contributed to very slow and sporadic growth of probability theory as a
mathematical discipline. ... In Example 1.3.9 we discuss the famous Bertrand
paradox and show that in reality there is nothing paradoxical about Bertrand's
paradoxes; once we define ...

Author: Vijay K. Rohatgi

Publisher: John Wiley & Sons

ISBN: 9781118165683

Category: Mathematics

Page: 744

View: 236

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The second edition of a well-received book that was published 24 years ago and continues to sell to this day, An Introduction to Probability and Statistics is now revised to incorporate new information as well as substantial updates of existing material.
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MAA notes

Paradoxes in probability and statistics Gabor Szekely and J. D. Reidel,
Paradoxes in probability theory and mathematical statistics, Dordrecht-Boston,
Mass., 1986. John Allen Paulos, Innumeracy: Mathematical illiteracy and its
consequences, ...

Author: Mathematical Association of America. Committee on the Undergraduate Program in Mathematics

Publisher:

ISBN: UOM:39015056608824

Category: Mathematics

Page:

View: 568

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117 Download

Multivariate Statistics and Probability

Paradoxes in Conditional Probability M. M. RAO University of California,
Riverside It is shown that paradoxes arise in ... sciences in which mathematics
plays an important part; in the first rank are the theory of probabilities and
mechanics.

Author: C. R. Rao

Publisher: Academic Press

ISBN: 9781483263830

Category: Mathematics

Page: 582

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Multivariate Statistics and Probability: Essays in Memory of Paruchuri R. Krishnaiah is a collection of essays on multivariate statistics and probability in memory of Paruchuri R. Krishnaiah (1932-1987), who made significant contributions to the fields of multivariate statistical analysis and stochastic theory. The papers cover the main areas of multivariate statistical theory and its applications, as well as aspects of probability and stochastic analysis. Topics range from finite sampling and asymptotic results, including aspects of decision theory, Bayesian analysis, classical estimation, regression, and time-series problems. Comprised of 35 chapters, this book begins with a discussion on the joint asymptotic distribution of marginal quantiles and quantile functions in samples from a multivariate population. The reader is then introduced to kernel estimators of density function of directional data; moment conditions for valid formal edgeworth expansions; and ergodicity and central limit theorems for a class of Markov processes. Subsequent chapters focus on minimal complete classes of invariant tests for equality of normal covariance matrices and sphericity; normed likelihood as saddlepoint approximation; generalized Gaussian random fields; and smoothness properties of the conditional expectation in finitely additive white noise filtering. This monograph should be of considerable interest to researchers as well as to graduate students working in theoretical and applied statistics, multivariate analysis, and random processes.
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Stochastic Geometry Spatial Statistics and Random Fields

It has been made out of selected contributions to the Summer Academy on
Stochastic Geometry, Spatial Statistics and ... Twelve experts gave lectures on
various domains of geometry, probability theory and mathematical statistics. ... It
starts with the foundations of geometric probability (Buffon needle problem,
Bertrand's paradox) and continues with the classical theory of random sets by
Matheron. Then it ...

Author: Evgeny Spodarev

Publisher: Springer

ISBN: 9783642333057

Category: Mathematics

Page: 446

View: 352

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This volume provides a modern introduction to stochastic geometry, random fields and spatial statistics at a (post)graduate level. It is focused on asymptotic methods in geometric probability including weak and strong limit theorems for random spatial structures (point processes, sets, graphs, fields) with applications to statistics. Written as a contributed volume of lecture notes, it will be useful not only for students but also for lecturers and researchers interested in geometric probability and related subjects.
904 Download