Paradoxes In Probability Theory
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Paradoxes In Probability Theory
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Author : William Eckhardt
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-09-27
Paradoxes In Probability Theory written by William Eckhardt and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-09-27 with Mathematics categories.
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.
Paradoxes In Probability Theory And Mathematical Statistics
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Author : Gábor J. Székely
language : en
Publisher:
Release Date : 1986
Paradoxes In Probability Theory And Mathematical Statistics written by Gábor J. Székely and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Mathematical statistics categories.
Paradoxes In Probability Theory And Mathematical Statistics
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Author : Gábor J. Székely
language : en
Publisher: Springer
Release Date : 2001-12-14
Paradoxes In Probability Theory And Mathematical Statistics written by Gábor J. Székely and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-12-14 with Mathematics categories.
It isn't that they can't see the solution. Approach your problems from the right end and begin with the answers. It is that they can't see the problem. Then one day, perhaps you will find G. K. Chesterton. The Scandal of the final question. Father Brown 'The point of a Pin'. 'The Hermit Clad in Crane Feathers' in R. van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of mono graphs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (nontrivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowski lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "experi mental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes.
Beyond The Quantum Paradox
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Author : Lazar Mayants
language : en
Publisher: Taylor & Francis Group
Release Date : 1994
Beyond The Quantum Paradox written by Lazar Mayants and has been published by Taylor & Francis Group this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Paradoxes categories.
Physicists and philosophers have quarrelled frequently over the meaning of quantum physics and as yet there is still no agreement - the only aspect of quantum physics which they agree with is that it is connected with probability. Beyond the Quantum Paradox attempts to explain this argument in clear, non-mathematical language. Based on Professor Mayants' work over the past twenty-five years, the book attempts to explain what quantum mechanics is all about.
Quantum Paradoxes Probability Theory And Change Of Ensemble
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Author : Jan-Åke Larsson
language : en
Publisher:
Release Date : 2000
Quantum Paradoxes Probability Theory And Change Of Ensemble written by Jan-Åke Larsson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.
Unexpected Expectations
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Author : Leonard M. Wapner
language : en
Publisher: CRC Press
Release Date : 2012-06-04
Unexpected Expectations written by Leonard M. Wapner and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-06-04 with Mathematics categories.
Unexpected Expectations: The Curiosities of a Mathematical Crystal Ball explores how paradoxical challenges involving mathematical expectation often necessitate a reexamination of basic premises. The author takes you through mathematical paradoxes associated with seemingly straightforward applications of mathematical expectation and shows how these unexpected contradictions may push you to reconsider the legitimacy of the applications. The book requires only an understanding of basic algebraic operations and includes supplemental mathematical background in chapter appendices. After a history of probability theory, it introduces the basic laws of probability as well as the definition and applications of mathematical expectation/expected value (E). The remainder of the text covers unexpected results related to mathematical expectation, including: The roles of aversion and risk in rational decision making A class of expected value paradoxes referred to as envelope problems Parrondo’s paradox—how negative (losing) expectations can be combined to give a winning result Problems associated with imperfect recall Non-zero-sum games, such as the game of chicken and the prisoner’s dilemma Newcomb’s paradox—a great philosophical paradox of free will Benford’s law and its use in computer design and fraud detection While useful in areas as diverse as game theory, quantum mechanics, and forensic science, mathematical expectation generates paradoxes that frequently leave questions unanswered yet reveal interesting surprises. Encouraging you to embrace the mysteries of mathematics, this book helps you appreciate the applications of mathematical expectation, "a statistical crystal ball." Listen to an interview with the author on NewBooksinMath.com.
A Panorama Of Statistics
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Author : Eric Sowey
language : en
Publisher: John Wiley & Sons
Release Date : 2017-01-30
A Panorama Of Statistics written by Eric Sowey and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-01-30 with Mathematics categories.
Dieses Buch nimmt den Leser mit auf eine anregende Reise rund um die Welt der Statistik. Auf eine ganz andere Art werden Theorie und Praxis Dozenten, Studenten und Praktikern nahe gebracht. Auf jeder Etappe dieser Reise untersuchen die Autoren ungewöhnliche und skurille Aspekte der Statistik, stellen historische, biographische und philosophische Dimensionen heraus. Die einzelnen Kapitel beginnen mit einem Ausblick auf das Thema, oftmals aus unterschiedlichen Blickwinkeln. Darauf folgen fünf Fragen, die zum Nachdenken anregen. Ziel ist es, die Kenntnisse der Leser zu erweitern und zu vertiefen. Zu den Fragen gibt es auch immer wieder unterhaltsame Rätsel, mit denen spannende Paradoxa aufgelöst werden. Die Leser können ihre eigenen Entdeckungen in der Welt der Statistik mit den ausführlichen Antworten der Autoren auf die jeweiligen Fragen vergleichen.
Probabilities Problems And Paradoxes
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Author :
language : en
Publisher:
Release Date : 1972
Probabilities Problems And Paradoxes written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with Mathematics categories.
Ten Great Ideas About Chance
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Author : Persi Diaconis
language : en
Publisher: Princeton University Press
Release Date : 2019-10-08
Ten Great Ideas About Chance written by Persi Diaconis and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-08 with Mathematics categories.
In the sixteenth and seventeenth centuries, gamblers and mathematicians transformed the idea of chance from a mystery into the discipline of probability, setting the stage for a series of breakthroughs that enabled or transformed innumerable fields, from gambling, mathematics, statistics, economics, and finance to physics and computer science. This book tells the story of ten great ideas about chance and the thinkers who developed them, tracing the philosophical implications of these ideas as well as their mathematical impact.
Condorcet S Paradox
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Author : William V. Gehrlein
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-08-29
Condorcet S Paradox written by William V. Gehrlein and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-08-29 with Business & Economics categories.
The book compiles research on Condorcet's Paradox over some two centuries. It begins with a historical overview of the discovery of Condorcet's Paradox in the 18th Century, reviews numerous studies conducted to find actual occurrences of the paradox, and compiles research that has been done to develop mathematical representations for the probability that the paradox will be observed. Combines all approaches that have been used to study this very interesting phenomenon.