Probability Collectives

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Probability Collectives

Author : Anand Jayant Kulkarni,Kang Tai,Ajith Abraham
Publisher : Springer
Page : 157 pages
File Size : 48,5 Mb
Release : 2015-02-25
Category : Technology & Engineering
ISBN : 9783319160009

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Probability Collectives by Anand Jayant Kulkarni,Kang Tai,Ajith Abraham Pdf

This book provides an emerging computational intelligence tool in the framework of collective intelligence for modeling and controlling distributed multi-agent systems referred to as Probability Collectives. In the modified Probability Collectives methodology a number of constraint handling techniques are incorporated, which also reduces the computational complexity and improved the convergence and efficiency. Numerous examples and real world problems are used for illustration, which may also allow the reader to gain further insight into the associated concepts.

Philosophical Foundations of Probability Theory

Author : Roy Weatherford
Publisher : Taylor & Francis
Page : 220 pages
File Size : 41,9 Mb
Release : 2022-06-01
Category : Philosophy
ISBN : 9781000626094

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Philosophical Foundations of Probability Theory by Roy Weatherford Pdf

First published in 1982, Philosophical Foundations of Probability Theory starts with the uses we make of the concept in everyday life and then examines the rival theories that seek to account for these applications. It offers a critical exposition of the major philosophical theories of probability, with special attention given to the metaphysical and epistemological assumptions and implications of each. The Classical Theory suggests probability is simply the ratio of favorable cases to all equi-possible cases: it is this theory that is relied on by gamblers and by most non-specialists. The A Priori Theory, on the other hand, describes probability as a logical relation between statements based on evidence. The Relative Frequency theories locate it not in logic but among empirical rates of occurrence in the real world, while the Subjectivist Theory identifies probability with the degree of a person’s belief in a proposition. Each of these types of theory is examined in turn, and the treatment is unified by the use of running examples and parallel analyses of each theory. The final chapter includes a summary and the author’s conclusions. This book is an essential read for scholars and researchers of Philosophy.

A Theory of Physical Probability

Author : Richard Johns
Publisher : University of Toronto Press
Page : 282 pages
File Size : 53,8 Mb
Release : 2002-01-01
Category : Philosophy
ISBN : 0802036031

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A Theory of Physical Probability by Richard Johns Pdf

Richard Johns argues that random events are fully caused and lack only determination by their causes; according to his causal theory of chance, the physical chance of an event is the degree to which the event is determined by its causes.

Mathematical Theory of Probability and Statistics

Author : Richard von Mises
Publisher : Academic Press
Page : 709 pages
File Size : 50,8 Mb
Release : 2014-05-12
Category : Mathematics
ISBN : 9781483264028

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Mathematical Theory of Probability and Statistics by Richard von Mises Pdf

Mathematical Theory of Probability and Statistics focuses on the contributions and influence of Richard von Mises on the processes, methodologies, and approaches involved in the mathematical theory of probability and statistics. The publication first elaborates on fundamentals, general label space, and basic properties of distributions. Discussions focus on Gaussian distribution, Poisson distribution, mean value variance and other moments, non-countable label space, basic assumptions, operations, and distribution function. The text then ponders on examples of combined operations and summation of chance variables characteristic function. The book takes a look at the asymptotic distribution of the sum of chance variables and probability inference. Topics include inference from a finite number of observations, law of large numbers, asymptotic distributions, limit distribution of the sum of independent discrete random variables, probability of the sum of rare events, and probability density. The text also focuses on the introduction to the theory of statistical functions and multivariate statistics. The publication is a dependable source of information for researchers interested in the mathematical theory of probability and statistics

Probability, Statistics, and Truth

Author : Richard Von Mises
Publisher : Courier Corporation
Page : 273 pages
File Size : 52,6 Mb
Release : 1981-01-01
Category : Mathematics
ISBN : 9780486242149

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Probability, Statistics, and Truth by Richard Von Mises Pdf

This comprehensive study of probability considers the approaches of Pascal, Laplace, Poisson, and others. It also discusses Laws of Large Numbers, the theory of errors, and other relevant topics.

Probability

Author : Darrell P. Rowbottom
Publisher : John Wiley & Sons
Page : 180 pages
File Size : 53,8 Mb
Release : 2015-10-30
Category : Philosophy
ISBN : 9781509500208

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Probability by Darrell P. Rowbottom Pdf

When a doctor tells you there's a one percent chance that an operation will result in your death, or a scientist claims that his theory is probably true, what exactly does that mean? Understanding probability is clearly very important, if we are to make good theoretical and practical choices. In this engaging and highly accessible introduction to the philosophy of probability, Darrell Rowbottom takes the reader on a journey through all the major interpretations of probability, with reference to real-world situations. In lucid prose, he explores the many fallacies of probabilistic reasoning, such as the 'gambler's fallacy' and the 'inverse fallacy', and shows how we can avoid falling into these traps by using the interpretations presented. He also illustrates the relevance of the interpretation of probability across disciplinary boundaries, by examining which interpretations of probability are appropriate in diverse areas such as quantum mechanics, game theory, and genetics. Using entertaining dialogues to draw out the key issues at stake, this unique book will appeal to students and scholars across philosophy, the social sciences, and the natural sciences.

Interpretations of Probability

Author : Andrei Khrennikov
Publisher : Walter de Gruyter GmbH & Co KG
Page : 228 pages
File Size : 49,9 Mb
Release : 2020-01-20
Category : Mathematics
ISBN : 9783110917772

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Interpretations of Probability by Andrei Khrennikov Pdf

Like geometry, probability can not be reduced to just one model to describe all physical and biological phenomena. Each model has a restricted range of applications. Quantum physics demonstrated that the use of conventional probability models induces some paradoxes. Such paradoxes can be resolved by using non-Kolmogorov probability models, developed on the basis of purely classical interpretations of probability: frequency and ensemble. Frequency models describe violations of the law of large numbers. Ensemble models are models with infinitely small probabilities. This is the first fundamental book devoted to non-Kolmogorov probability models. It provides the first mathematical theory of negative probabilities - with numerous applications to quantum physics, information theory, complexity, biology and psychology. Natural models with negative (frequency and ensemble) probabilities are developed in the framework of so called p-adic analysis. The book also contains an extremely interesting model of cognitive information reality with flows of information probabilities, describing the process of thinking, social and psychological phenomena. This book will be of value and interest to specialists in probability theory, statistics, functional analysis, quantum physics and (partly) specialists in cognitive sciences and psychology.

Philosophy and Probability

Author : Timothy Childers
Publisher : Oxford University Press
Page : 213 pages
File Size : 46,8 Mb
Release : 2013-05-30
Category : Philosophy
ISBN : 9780199661824

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Philosophy and Probability by Timothy Childers Pdf

Probability is increasingly important for our understanding of the world. What is probability? How do we model it, and how do we use it? Timothy Childers presents a lively introduction to the foundations of probability and to philosophical issues it raises. He keeps technicalities to a minimum, and assumes no prior knowledge of the subject. He explains the main interpretations of probability-frequentist, propensity, classical, Bayesian, and objective Bayesian-and uses stimulating examples to bring the subject to life. All students of philosophy will benefit from an understanding of probability, and this is the book to provide it.

Resonance: From Probability To Epistemology And Back

Author : Burdzy Krzysztof
Publisher : World Scientific
Page : 428 pages
File Size : 53,9 Mb
Release : 2016-05-26
Category : Mathematics
ISBN : 9781783269228

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Resonance: From Probability To Epistemology And Back by Burdzy Krzysztof Pdf

Resonance examines some building blocks of epistemology as a prelude to the careful analysis of the foundations of probability. The concept of resonance is introduced to shed light on the philosophical problems of induction, consciousness, intelligence and free will. The same concept is later applied to provide support for a new philosophical theory of probability.Although based on existing ideas and theories, the epistemological concept of resonance is investigated for the first time in this book. The best-known philosophical theories of probability, frequency and subjective, are shown to be unrealistic and dissociated from the two main branches of statistics: frequency statistics and Bayesian statistics.Written in an accessible style, this book can be enjoyed by philosophers, statisticians and mathematicians, and also by anyone looking to expand their understanding of the disciplines of epistemology and probability.

Probability and Finance

Author : Glenn Shafer,Vladimir Vovk
Publisher : John Wiley & Sons
Page : 438 pages
File Size : 52,5 Mb
Release : 2005-02-25
Category : Business & Economics
ISBN : 9780471461715

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Probability and Finance by Glenn Shafer,Vladimir Vovk Pdf

Provides a foundation for probability based on game theory rather than measure theory. A strong philosophical approach with practical applications. Presents in-depth coverage of classical probability theory as well as new theory.

Probability and Randomness

Author : Andre? I?U?r?evich Khrennikov
Publisher : World Scientific
Page : 299 pages
File Size : 45,7 Mb
Release : 2016
Category : Science
ISBN : 9781783267972

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Probability and Randomness by Andre? I?U?r?evich Khrennikov Pdf

"Creating a rigorous mathematical theory of randomness is far from being complete, even in the classical case. Interrelation of Classical and Quantum Randomness rectifies this and introduces mathematical formalisms of classical and quantum probability and randomness with brief discussion of their interrelation and interpretational and foundational issues. The book presents the essentials of classical approaches to randomness, enlightens their successes and problems, and then proceeds to essentials of quantum randomness. Its wide-ranging and comprehensive scope makes it suitable for researchers in mathematical physics, probability and statistics at any level"--

Creating Modern Probability

Author : Jan von Plato
Publisher : Cambridge University Press
Page : 336 pages
File Size : 53,7 Mb
Release : 1998-01-12
Category : Mathematics
ISBN : 0521597358

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Creating Modern Probability by Jan von Plato Pdf

In this book the author charts the history and development of modern probability theory.

Causality, Probability, and Medicine

Author : Donald Gillies
Publisher : Routledge
Page : 300 pages
File Size : 52,8 Mb
Release : 2018-08-15
Category : Philosophy
ISBN : 9781317564294

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Causality, Probability, and Medicine by Donald Gillies Pdf

Why is understanding causation so important in philosophy and the sciences? Should causation be defined in terms of probability? Whilst causation plays a major role in theories and concepts of medicine, little attempt has been made to connect causation and probability with medicine itself. Causality, Probability, and Medicine is one of the first books to apply philosophical reasoning about causality to important topics and debates in medicine. Donald Gillies provides a thorough introduction to and assessment of competing theories of causality in philosophy, including action-related theories, causality and mechanisms, and causality and probability. Throughout the book he applies them to important discoveries and theories within medicine, such as germ theory; tuberculosis and cholera; smoking and heart disease; the first ever randomized controlled trial designed to test the treatment of tuberculosis; the growing area of philosophy of evidence-based medicine; and philosophy of epidemiology. This book will be of great interest to students and researchers in philosophy of science and philosophy of medicine, as well as those working in medicine, nursing and related health disciplines where a working knowledge of causality and probability is required.

Fuzzy Logic and Probability Applications

Author : Timothy J. Ross,Jane M. Booker,W. Jerry Parkinson
Publisher : SIAM
Page : 432 pages
File Size : 44,7 Mb
Release : 2002-01-01
Category : Mathematics
ISBN : 0898718449

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Fuzzy Logic and Probability Applications by Timothy J. Ross,Jane M. Booker,W. Jerry Parkinson Pdf

Probabilists and fuzzy enthusiasts tend to disagree about which philosophy is best and they rarely work together. As a result, textbooks usually suggest only one of these methods for problem solving, but not both. This book is an exception. The authors, investigators from both fields, have combined their talents to provide a practical guide showing that both fuzzy logic and probability have their place in the world of problem solving. They work together with mutual benefit for both disciplines, providing scientists and engineers with examples of and insight into the best tool for solving problems involving uncertainty. Fuzzy Logic and Probability Applications: Bridging the Gap makes an honest effort to show both the shortcomings and benefits of each technique, and even demonstrates useful combinations of the two. It provides clear descriptions of both fuzzy logic and probability, as well as the theoretical background, examples, and applications from both fields, making it a useful hands-on workbook for members of both camps. It contains enough theory and references to fundamental work to provide firm ground for both engineers and scientists at the undergraduate level and above. Readers should have a familiarity with mathematics through calculus.

Philosophy of Probability and Statistical Modelling

Author : Mauricio Suárez
Publisher : Cambridge University Press
Page : 128 pages
File Size : 49,8 Mb
Release : 2021-01-21
Category : Philosophy
ISBN : 9781108983846

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Philosophy of Probability and Statistical Modelling by Mauricio Suárez Pdf

This Element has two main aims. The first one (sections 1-7) is an historically informed review of the philosophy of probability. It describes recent historiography, lays out the distinction between subjective and objective notions, and concludes by applying the historical lessons to the main interpretations of probability. The second aim (sections 8-13) focuses entirely on objective probability, and advances a number of novel theses regarding its role in scientific practice. A distinction is drawn between traditional attempts to interpret chance, and a novel methodological study of its application. A radical form of pluralism is then introduced, advocating a tripartite distinction between propensities, probabilities and frequencies. Finally, a distinction is drawn between two different applications of chance in statistical modelling which, it is argued, vindicates the overall methodological approach. The ensuing conception of objective probability in practice is the 'complex nexus of chance'.