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Probability Collectives

Probability Collectives
Author: Anand Jayant Kulkarni
Publisher: Springer
Total Pages: 162
Release: 2015-02-25
Genre: Technology & Engineering
ISBN: 3319160001

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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.


A Theory of Physical Probability

A Theory of Physical Probability
Author: Richard Johns
Publisher: University of Toronto Press
Total Pages: 282
Release: 2002-01-01
Genre: Philosophy
ISBN: 9780802036032

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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

Mathematical Theory of Probability and Statistics
Author: Richard von Mises
Publisher: Academic Press
Total Pages: 709
Release: 2014-05-12
Genre: Mathematics
ISBN: 1483264025

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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

Probability, Statistics, and Truth
Author: Richard Von Mises
Publisher: Courier Corporation
Total Pages: 273
Release: 1981-01-01
Genre: Mathematics
ISBN: 0486242145

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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.


Interpretations of Probability

Interpretations of Probability
Author: Andrei Khrennikov
Publisher: Walter de Gruyter GmbH & Co KG
Total Pages: 228
Release: 2020-01-20
Genre: Mathematics
ISBN: 3110917777

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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.


Resonance: From Probability To Epistemology And Back

Resonance: From Probability To Epistemology And Back
Author: Burdzy Krzysztof
Publisher: World Scientific
Total Pages: 428
Release: 2016-05-26
Genre: Mathematics
ISBN: 1783269227

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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.


Philosophy and Probability

Philosophy and Probability
Author: Timothy Childers
Publisher: Oxford University Press
Total Pages: 213
Release: 2013-05-30
Genre: Philosophy
ISBN: 0199661820

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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.


Probability

Probability
Author: Darrell P. Rowbottom
Publisher: John Wiley & Sons
Total Pages: 180
Release: 2015-10-30
Genre: Philosophy
ISBN: 1509500200

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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.


Creating Modern Probability

Creating Modern Probability
Author: Jan von Plato
Publisher: Cambridge University Press
Total Pages: 336
Release: 1998-01-12
Genre: Mathematics
ISBN: 9780521597357

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


Probability and Randomness

Probability and Randomness
Author: Andre? I?U?r?evich Khrennikov
Publisher: World Scientific
Total Pages: 299
Release: 2016
Genre: Science
ISBN: 1783267976

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"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"--