Probabilities Laws And Structures
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| Author | : Dennis Dieks |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 505 |
| Release | : 2012-02-02 |
| Genre | : Science |
| ISBN | : 9400730306 |
This volume, the third in this Springer series, contains selected papers from the four workshops organized by the ESF Research Networking Programme "The Philosophy of Science in a European Perspective" (PSE) in 2010: Pluralism in the Foundations of Statistics Points of Contact between the Philosophy of Physics and the Philosophy of Biology The Debate on Mathematical Modeling in the Social Sciences Historical Debates about Logic, Probability and Statistics The volume is accordingly divided in four sections, each of them containing papers coming from the workshop focussing on one of these themes. While the programme's core topic for the year 2010 was probability and statistics, the organizers of the workshops embraced the opportunity of building bridges to more or less closely connected issues in general philosophy of science, philosophy of physics and philosophy of the special sciences. However, papers that analyze the concept of probability for various philosophical purposes are clearly a major theme in this volume, as it was in the previous volumes of the same series. This reflects the impressive productivity of probabilistic approaches in the philosophy of science, which form an important part of what has become known as formal epistemology - although, of course, there are non-probabilistic approaches in formal epistemology as well. It is probably fair to say that Europe has been particularly strong in this area of philosophy in recent years.
| Author | : Michael Strevens |
| Publisher | : Harvard University Press |
| Total Pages | : 260 |
| Release | : 2013-06-03 |
| Genre | : Science |
| ISBN | : 0674076028 |
Tychomancy—meaning “the divination of chances”—presents a set of rules for inferring the physical probabilities of outcomes from the causal or dynamic properties of the systems that produce them. Probabilities revealed by the rules are wide-ranging: they include the probability of getting a 5 on a die roll, the probability distributions found in statistical physics, and the probabilities that underlie many prima facie judgments about fitness in evolutionary biology. Michael Strevens makes three claims about the rules. First, they are reliable. Second, they are known, though not fully consciously, to all human beings: they constitute a key part of the physical intuition that allows us to navigate around the world safely in the absence of formal scientific knowledge. Third, they have played a crucial but unrecognized role in several major scientific innovations. A large part of Tychomancy is devoted to this historical role for probability inference rules. Strevens first analyzes James Clerk Maxwell’s extraordinary, apparently a priori, deduction of the molecular velocity distribution in gases, which launched statistical physics. Maxwell did not derive his distribution from logic alone, Strevens proposes, but rather from probabilistic knowledge common to all human beings, even infants as young as six months old. Strevens then turns to Darwin’s theory of natural selection, the statistics of measurement, and the creation of models of complex systems, contending in each case that these elements of science could not have emerged when or how they did without the ability to “eyeball” the values of physical probabilities.
| Author | : Herbert Heyer |
| Publisher | : World Scientific |
| Total Pages | : 399 |
| Release | : 2004 |
| Genre | : Mathematics |
| ISBN | : 9812562281 |
This book focuses on the algebraic-topological aspects of probabilitytheory, leading to a wider and deeper understanding of basic theorems, such as those on the structure of continuous convolution semigroupsand the corresponding processes with independent increments
| Author | : Herbert Heyer |
| Publisher | : World Scientific |
| Total Pages | : 425 |
| Release | : 2010 |
| Genre | : Mathematics |
| ISBN | : 9814282480 |
The book is conceived as a text accompanying the traditional graduate courses on probability theory. An important feature of this enlarged version is the emphasis on algebraic-topological aspects leading to a wider and deeper understanding of basic theorems such as those on the structure of continuous convolution semigroups and the corresponding processes with independent increments. Fourier transformation ? the method applied within the settings of Banach spaces, locally compact Abelian groups and commutative hypergroups ? is given an in-depth discussion. This powerful analytic tool along with the relevant facts of harmonic analysis make it possible to study certain properties of stochastic processes in dependence of the algebraic-topological structure of their state spaces. In extension of the first edition, the new edition contains chapters on the probability theory of generalized convolution structures such as polynomial and Sturm?Liouville hypergroups, and on the central limit problem for groups such as tori, p-adic groups and solenoids.
| Author | : Ulf Grenander |
| Publisher | : Courier Corporation |
| Total Pages | : 222 |
| Release | : 2008-01-01 |
| Genre | : Mathematics |
| ISBN | : 0486462870 |
This systematic approach covers semi-groups, groups, linear vector spaces, and algebra. It states and studies fundamental probabilistic problems for these spaces, focusing on concrete results. 1963 edition.
| Author | : Fraser Watts |
| Publisher | : Routledge |
| Total Pages | : 200 |
| Release | : 2018-12-17 |
| Genre | : Social Science |
| ISBN | : 0429872895 |
Published in 1999. How can we reconcile assumptions about the lawfulness of the universe with provision for chance events? Do the ‘laws of nature’ indicate what absolutely must happen, or just what is most likely to happen? These are important questions for both science and theology, and are explored here in the first in-depth coverage of an important but neglected topic. Including perspectives from prestigious contributions, and published with the backing of the International Society for Science and Religion (ISSR), Creation: Law and Probability employs the disciplines of history and philosophy, as well as cosmology, evolutionary biology, and neuroscience in a fascinating dialogue of faith traditions.
| Author | : Mark Burgin |
| Publisher | : World Scientific |
| Total Pages | : 410 |
| Release | : 2016-11-28 |
| Genre | : Computers |
| ISBN | : 9813109041 |
The book is a collection of papers of experts in the fields of information and complexity. Information is a basic structure of the world, while complexity is a fundamental property of systems and processes. There are intrinsic relations between information and complexity.The research in information theory, the theory of complexity and their interrelations is very active. The book will expand knowledge on information, complexity and their relations representing the most recent and advanced studies and achievements in this area.The goal of the book is to present the topic from different perspectives — mathematical, informational, philosophical, methodological, etc.
| Author | : David F. Anderson |
| Publisher | : Cambridge University Press |
| Total Pages | : 447 |
| Release | : 2017-11-02 |
| Genre | : Mathematics |
| ISBN | : 110824498X |
This classroom-tested textbook is an introduction to probability theory, with the right balance between mathematical precision, probabilistic intuition, and concrete applications. Introduction to Probability covers the material precisely, while avoiding excessive technical details. After introducing the basic vocabulary of randomness, including events, probabilities, and random variables, the text offers the reader a first glimpse of the major theorems of the subject: the law of large numbers and the central limit theorem. The important probability distributions are introduced organically as they arise from applications. The discrete and continuous sides of probability are treated together to emphasize their similarities. Intended for students with a calculus background, the text teaches not only the nuts and bolts of probability theory and how to solve specific problems, but also why the methods of solution work.
| Author | : Giuseppe Modica |
| Publisher | : John Wiley & Sons |
| Total Pages | : 388 |
| Release | : 2012-12-10 |
| Genre | : Mathematics |
| ISBN | : 111847774X |
Provides an introduction to basic structures of probability with a view towards applications in information technology A First Course in Probability and Markov Chains presents an introduction to the basic elements in probability and focuses on two main areas. The first part explores notions and structures in probability, including combinatorics, probability measures, probability distributions, conditional probability, inclusion-exclusion formulas, random variables, dispersion indexes, independent random variables as well as weak and strong laws of large numbers and central limit theorem. In the second part of the book, focus is given to Discrete Time Discrete Markov Chains which is addressed together with an introduction to Poisson processes and Continuous Time Discrete Markov Chains. This book also looks at making use of measure theory notations that unify all the presentation, in particular avoiding the separate treatment of continuous and discrete distributions. A First Course in Probability and Markov Chains: Presents the basic elements of probability. Explores elementary probability with combinatorics, uniform probability, the inclusion-exclusion principle, independence and convergence of random variables. Features applications of Law of Large Numbers. Introduces Bernoulli and Poisson processes as well as discrete and continuous time Markov Chains with discrete states. Includes illustrations and examples throughout, along with solutions to problems featured in this book. The authors present a unified and comprehensive overview of probability and Markov Chains aimed at educating engineers working with probability and statistics as well as advanced undergraduate students in sciences and engineering with a basic background in mathematical analysis and linear algebra.
| Author | : Peter Tillers |
| Publisher | : Springer |
| Total Pages | : 345 |
| Release | : 1988-09-30 |
| Genre | : Science |
| ISBN | : 9789027726896 |
This book explores the nature of factual inference in adjudication. The book should be useful to students of law in Continental Europe as well as to students of Anglo-American law. While a good many countries do not use the sorts of rules of evidence found in the Anglo-American legal tradition, their procedural systems nevertheless frequently use a variety of rules and principles to regulate and structure the acquisition, presentation, and evalu ation of evidence. In this sense, almost all legal systems have a law of proof. This book should also be useful to scholars in fields other than law. While the papers focus on inference in adjudication, they deal with a wide variety of issues that are important in disciplines such as the philosophy of science, statistics, and psychology. For example, there is extensive discussion of the role of generalizations and hypotheses in inference and of the significance of the fact that the actors who evaluate data also in some sense constitute the data that they evaluate. Furthermore, explanations of the manner in which some legal systems structure fact-finding processes may highlight features of inferential processes that have yet to be adequately tackled by scholars in fields other than law.
