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Structural Aspects In The Theory Of Probability
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Book Synopsis Structural Aspects in the Theory of Probability by : Herbert Heyer
Download or read book Structural Aspects in the Theory of Probability written by Herbert Heyer and published by World Scientific. This book was released on 2004 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis Structural Aspects in the Theory of Probability by : Herbert Heyer
Download or read book Structural Aspects in the Theory of Probability written by Herbert Heyer and published by World Scientific. This book was released on 2010 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Structural Aspects in the Theory of Probability by :
Download or read book Structural Aspects in the Theory of Probability written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Structural Aspects in the Theory of Probability by : Herbert Heyer
Download or read book Structural Aspects in the Theory of Probability written by Herbert Heyer and published by World Scientific. This book was released on 2004 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on the algebraic-topological aspects of probability theory, 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. The method applied within the setting of Banach spaces and of locally compact Abelian groups is that of the Fourier transform. This analytic tool along with the relevant parts of harmonic analysis makes it possible to study certain properties of stochastic processes in dependence of the algebraic-topological structure of their state spaces. Graduate students, lecturers and researchers may use the book as a primer in the theory of probability measures on groups and related structures.This book has been selected for coverage in: ? CC / Physical, Chemical & Earth Sciences? Index to Scientific Book Contents? (ISBC)
Book Synopsis The Structure of Probability Theory with Applications by :
Download or read book The Structure of Probability Theory with Applications written by and published by . This book was released on 1964 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Geometric Aspects of Probability Theory and Mathematical Statistics by : V.V. Buldygin
Download or read book Geometric Aspects of Probability Theory and Mathematical Statistics written by V.V. Buldygin and published by Springer Science & Business Media. This book was released on 2000-08-31 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book demonstrates the usefulness of geometric methods in probability theory and mathematical statistics, and shows close relationships between these disciplines and convex analysis. Deep facts and statements from the theory of convex sets are discussed with their applications to various questions arising in probability theory, mathematical statistics, and the theory of stochastic processes. The book is essentially self-contained, and the presentation of material is thorough in detail. Audience: The topics considered in the book are accessible to a wide audience of mathematicians, and graduate and postgraduate students, whose interests lie in probability theory and convex geometry.
Book Synopsis Probabilistic Theory of Structures by : Isaac Elishakoff
Download or read book Probabilistic Theory of Structures written by Isaac Elishakoff and published by Courier Corporation. This book was released on 1999-01-01 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: Well-written introduction covers the elements of the theory of probability from two or more random variables, the reliability of such multivariable structures, the theory of random function, Monte Carlo methods of treating problems incapable of exact solution, and more. No previous knowledge of the subject necessary. Numerous examples, illustrative figures.
Download or read book Tychomancy written by Michael Strevens and published by Harvard University Press. This book was released on 2013-06-03 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Random and Vector Measures by : Malempati Madhusudana Rao
Download or read book Random and Vector Measures written by Malempati Madhusudana Rao and published by World Scientific. This book was released on 2012 with total page 553 pages. Available in PDF, EPUB and Kindle. Book excerpt: Deals with the structural analysis of vector and random (or both) valued countably additive measures, and used for integral representations of random fields. This book analyzes several stationary aspects and related processes.
Book Synopsis A Modern Approach to Probability Theory by : Bert E. Fristedt
Download or read book A Modern Approach to Probability Theory written by Bert E. Fristedt and published by Springer Science & Business Media. This book was released on 2013-11-21 with total page 775 pages. Available in PDF, EPUB and Kindle. Book excerpt: Students and teachers of mathematics and related fields will find this book a comprehensive and modern approach to probability theory, providing the background and techniques to go from the beginning graduate level to the point of specialization in research areas of current interest. The book is designed for a two- or three-semester course, assuming only courses in undergraduate real analysis or rigorous advanced calculus, and some elementary linear algebra. A variety of applications—Bayesian statistics, financial mathematics, information theory, tomography, and signal processing—appear as threads to both enhance the understanding of the relevant mathematics and motivate students whose main interests are outside of pure areas.
Book Synopsis Probability on Compact Lie Groups by : David Applebaum
Download or read book Probability on Compact Lie Groups written by David Applebaum and published by Springer. This book was released on 2014-06-26 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: Probability theory on compact Lie groups deals with the interaction between “chance” and “symmetry,” a beautiful area of mathematics of great interest in its own sake but which is now also finding increasing applications in statistics and engineering (particularly with respect to signal processing). The author gives a comprehensive introduction to some of the principle areas of study, with an emphasis on applicability. The most important topics presented are: the study of measures via the non-commutative Fourier transform, existence and regularity of densities, properties of random walks and convolution semigroups of measures and the statistical problem of deconvolution. The emphasis on compact (rather than general) Lie groups helps readers to get acquainted with what is widely seen as a difficult field but which is also justified by the wealth of interesting results at this level and the importance of these groups for applications. The book is primarily aimed at researchers working in probability, stochastic analysis and harmonic analysis on groups. It will also be of interest to mathematicians working in Lie theory and physicists, statisticians and engineers who are working on related applications. A background in first year graduate level measure theoretic probability and functional analysis is essential; a background in Lie groups and representation theory is certainly helpful but the first two chapters also offer orientation in these subjects.
Book Synopsis The Structural Theory of Probability by : Paolo Rocchi
Download or read book The Structural Theory of Probability written by Paolo Rocchi and published by Springer. This book was released on 2003-01-31 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Structural Theory of Probability addresses the interpretation of probability, often debated in the scientific community. This problem has been examined for centuries; perhaps no other mathematical calculation suffuses mankind's efforts at survival as amply as probability. In the dawn of the 20th century David Hilbert included the foundations of the probability calculus within the most vital mathematical problems; Dr. Rocchi's topical and ever-timely volume proposes a novel, exhaustive solution to this vibrant issue. Paolo Rocchi, a versatile IBM scientist, outlines a new philosophical and mathematical approach inspired by well-tested software techniques. Through the prism of computer technology he provides an innovative view on the theory of probability. Dr. Rocchi discusses in detail the mathematical tools used to clarify the meaning of probability, integrating with care numerous examples and case studies. The comprehensiveness and originality of its mathematical development make this volume an inspiring read for researchers and students alike.
Book Synopsis Probability Theory and Mathematical Statistics for Engineers by : Paolo L. Gatti
Download or read book Probability Theory and Mathematical Statistics for Engineers written by Paolo L. Gatti and published by CRC Press. This book was released on 2004-11-10 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Aspects of Structural Reliability by : Michael H. Faber
Download or read book Aspects of Structural Reliability written by Michael H. Faber and published by Herbert Utz Verlag. This book was released on 2007 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Random Graphs, Geometry and Asymptotic Structure by : Michael Krivelevich
Download or read book Random Graphs, Geometry and Asymptotic Structure written by Michael Krivelevich and published by Cambridge University Press. This book was released on 2016-04-25 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of random graphs is a vital part of the education of any researcher entering the fascinating world of combinatorics. However, due to their diverse nature, the geometric and structural aspects of the theory often remain an obscure part of the formative study of young combinatorialists and probabilists. Moreover, the theory itself, even in its most basic forms, is often considered too advanced to be part of undergraduate curricula, and those who are interested usually learn it mostly through self-study, covering a lot of its fundamentals but little of the more recent developments. This book provides a self-contained and concise introduction to recent developments and techniques for classical problems in the theory of random graphs. Moreover, it covers geometric and topological aspects of the theory and introduces the reader to the diversity and depth of the methods that have been devised in this context.
Book Synopsis Probability-Based Structural Fire Load by : Leo Razdolsky
Download or read book Probability-Based Structural Fire Load written by Leo Razdolsky and published by Cambridge University Press. This book was released on 2014-08-25 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the subject of probabilistic analysis to engineers and can be used as a reference in applying this technology.
Book Synopsis Constructing Probability Boxes and Dempster-Shafer Structures by : Scott Ferson
Download or read book Constructing Probability Boxes and Dempster-Shafer Structures written by Scott Ferson and published by . This book was released on 2003 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: This report summarizes a variety of the most useful and commonly applied methods for obtaining Dempster-Shafer structures, and their mathematical kin probability boxes, from empirical information or theoretical knowledge. The report includes a review of the aggregation methods for handling agreement and conflict when multiple such objects are obtained from different sources.
