Algebre Et Probabilites

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Probability through Algebra

Author : Bowen Kerins
Publisher : American Mathematical Soc.
ISBN 13 : 1470419254
Total Pages : 172 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Probability through Algebra by : Bowen Kerins

Download or read book Probability through Algebra written by Bowen Kerins and published by American Mathematical Soc.. This book was released on 2015-10-02 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed for precollege teachers by a collaborative of teachers, educators, and mathematicians, Probability through Algebra is based on a course offered in the Summer School Teacher Program at the Park City Mathematics Institute. But this book isn't a "course" in the traditional sense. It consists of a carefully sequenced collection of problem sets designed to develop several interconnected mathematical themes, and one of the goals of the problem sets is for readers to uncover these themes for themselves. The specific themes developed in Probability through Algebra introduce readers to the algebraic properties of expected value and variance through analysis of games, to the use of generating functions and formal algebra as combinatorial tools, and to some applications of these ideas to questions in probabilistic number theory. Probability through Algebra is a volume of the book series "IAS/PCMI-The Teacher Program Series" published by the American Mathematical Society. Each volume in that series covers the content of one Summer School Teacher Program year and is independent of the rest. Titles in this series are co-published with the Institute for Advanced Study/Park City Mathematics Institute. Members of the Mathematical Association of America (MAA) and the National Council of Teachers of Mathematics (NCTM) receive a 20% discount from list price.

Linear Algebra and Probability for Computer Science Applications

Author : Ernest Davis
Publisher : CRC Press
ISBN 13 : 1466501553
Total Pages : 433 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Linear Algebra and Probability for Computer Science Applications by : Ernest Davis

Download or read book Linear Algebra and Probability for Computer Science Applications written by Ernest Davis and published by CRC Press. This book was released on 2012-05-02 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on the author’s course at NYU, Linear Algebra and Probability for Computer Science Applications gives an introduction to two mathematical fields that are fundamental in many areas of computer science. The course and the text are addressed to students with a very weak mathematical background. Most of the chapters discuss relevant MATLAB® functions and features and give sample assignments in MATLAB; the author’s website provides the MATLAB code from the book. After an introductory chapter on MATLAB, the text is divided into two sections. The section on linear algebra gives an introduction to the theory of vectors, matrices, and linear transformations over the reals. It includes an extensive discussion on Gaussian elimination, geometric applications, and change of basis. It also introduces the issues of numerical stability and round-off error, the discrete Fourier transform, and singular value decomposition. The section on probability presents an introduction to the basic theory of probability and numerical random variables; later chapters discuss Markov models, Monte Carlo methods, information theory, and basic statistical techniques. The focus throughout is on topics and examples that are particularly relevant to computer science applications; for example, there is an extensive discussion on the use of hidden Markov models for tagging text and a discussion of the Zipf (inverse power law) distribution. Examples and Programming Assignments The examples and programming assignments focus on computer science applications. The applications covered are drawn from a range of computer science areas, including computer graphics, computer vision, robotics, natural language processing, web search, machine learning, statistical analysis, game playing, graph theory, scientific computing, decision theory, coding, cryptography, network analysis, data compression, and signal processing. Homework Problems Comprehensive problem sections include traditional calculation exercises, thought problems such as proofs, and programming assignments that involve creating MATLAB functions.

Lectures on Probability Theory

Author : Philippe Biane
Publisher : Springer
ISBN 13 : 3540494022
Total Pages : 217 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Lectures on Probability Theory by : Philippe Biane

Download or read book Lectures on Probability Theory written by Philippe Biane and published by Springer. This book was released on 2006-11-14 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains two of the three lectures given at the Saint-Flour Summer School of Probability Theory during the period August 18 to September 4, 1993.

Applied Linear Algebra, Probability and Statistics

Author : Ravindra B. Bapat
Publisher : Springer Nature
ISBN 13 : 9819923107
Total Pages : 540 pages
Book Rating : 4.8/5 (199 download)

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Book Synopsis Applied Linear Algebra, Probability and Statistics by : Ravindra B. Bapat

Download or read book Applied Linear Algebra, Probability and Statistics written by Ravindra B. Bapat and published by Springer Nature. This book was released on 2023-07-31 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on research in linear algebra, statistics, matrices, graphs and their applications. Many chapters in the book feature new findings due to applications of matrix and graph methods. The book also discusses rediscoveries of the subject by using new methods. Dedicated to Prof. Calyampudi Radhakrishna Rao (C.R. Rao) who has completed 100 years of legendary life and continues to inspire us all and Prof. Arbind K. Lal who has sadly departed us too early, it has contributions from collaborators, students, colleagues and admirers of Professors Rao and Lal. With many chapters on generalized inverses, matrix analysis, matrices and graphs, applied probability and statistics, and the history of ancient mathematics, this book offers a diverse array of mathematical results, techniques and applications. The book promises to be especially rewarding for readers with an interest in the focus areas of applied linear algebra, probability and statistics.

Probability and Random Variables: Theory and Applications

Author : Iickho Song
Publisher : Springer Nature
ISBN 13 : 3030976793
Total Pages : 506 pages
Book Rating : 4.0/5 (39 download)

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Book Synopsis Probability and Random Variables: Theory and Applications by : Iickho Song

Download or read book Probability and Random Variables: Theory and Applications written by Iickho Song and published by Springer Nature. This book was released on 2022-05-24 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses diverse concepts and notions – and their applications – concerning probability and random variables at the intermediate to advanced level. It explains basic concepts and results in a clearer and more complete manner than the extant literature. In addition to a range of concepts and notions concerning probability and random variables, the coverage includes a number of key advanced concepts in mathematics. Readers will also find unique results on e.g. the explicit general formula of joint moments and the expected values of nonlinear functions for normal random vectors. In addition, interesting applications of the step and impulse functions in discussions on random vectors are presented. Thanks to a wealth of examples and a total of 330 practice problems of varying difficulty, readers will have the opportunity to significantly expand their knowledge and skills. The book is rounded out by an extensive index, allowing readers to quickly and easily find what they are looking for. Given its scope, the book will appeal to all readers with a basic grasp of probability and random variables who are looking to go one step further. It also offers a valuable reference guide for experienced scholars and professionals, helping them review and refine their expertise.

In Memoriam Paul-André Meyer - Séminaire de Probabilités XXXIX

Author : Marc Yor
Publisher : Springer
ISBN 13 : 3540355138
Total Pages : 423 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis In Memoriam Paul-André Meyer - Séminaire de Probabilités XXXIX by : Marc Yor

Download or read book In Memoriam Paul-André Meyer - Séminaire de Probabilités XXXIX written by Marc Yor and published by Springer. This book was released on 2006-10-17 with total page 423 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 39th volume of Séminaire de Probabilités is a tribute to the memory of Paul André Meyer. His life and achievements are recalled in this book, and tributes are paid by his friends and colleagues. This volume also contains mathematical contributions to classical and quantum stochastic calculus, the theory of processes, martingales and their applications to mathematical finance and Brownian motion. These contributions provide an overview on the current trends of stochastic calculus.

Lectures on Probability Theory and Statistics

Author : M. Emery
Publisher : Springer
ISBN 13 : 3540450297
Total Pages : 359 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Lectures on Probability Theory and Statistics by : M. Emery

Download or read book Lectures on Probability Theory and Statistics written by M. Emery and published by Springer. This book was released on 2007-05-06 with total page 359 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains lectures given at the Saint-Flour Summer School of Probability Theory during 17th Aug. - 3rd Sept. 1998. The contents of the three courses are the following: - Continuous martingales on differential manifolds. - Topics in non-parametric statistics. - Free probability theory. The reader is expected to have a graduate level in probability theory and statistics. This book is of interest to PhD students in probability and statistics or operators theory as well as for researchers in all these fields. The series of lecture notes from the Saint-Flour Probability Summer School can be considered as an encyclopedia of probability theory and related fields.

Boole's Logic and Probability

Author : T. Hailperin
Publisher : Elsevier
ISBN 13 : 0080880053
Total Pages : 441 pages
Book Rating : 4.0/5 (88 download)

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Book Synopsis Boole's Logic and Probability by : T. Hailperin

Download or read book Boole's Logic and Probability written by T. Hailperin and published by Elsevier. This book was released on 1986-10-01 with total page 441 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the publication of the first edition in 1976, there has been a notable increase of interest in the development of logic. This is evidenced by the several conferences on the history of logic, by a journal devoted to the subject, and by an accumulation of new results. This increased activity and the new results - the chief one being that Boole's work in probability is best viewed as a probability logic - were influential circumstances conducive to a new edition.Chapter 1, presenting Boole's ideas on a mathematical treatment of logic, from their emergence in his early 1847 work on through to his immediate successors, has been considerably enlarged. Chapter 2 includes additional discussion of the ``uninterpretable'' notion, both semantically and syntactically. Chapter 3 now includes a revival of Boole's abandoned propositional logic and, also, a discussion of his hitherto unnoticed brush with ancient formal logic. Chapter 5 has an improved explanation of why Boole's probability method works. Chapter 6, Applications and Probability Logic, is a new addition. Changes from the first edition have brought about a three-fold increase in the bibliography.

Foundations of Quantitative Finance Book II: Probability Spaces and Random Variables

Author : Robert R. Reitano
Publisher : CRC Press
ISBN 13 : 100078827X
Total Pages : 276 pages
Book Rating : 4.0/5 (7 download)

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Book Synopsis Foundations of Quantitative Finance Book II: Probability Spaces and Random Variables by : Robert R. Reitano

Download or read book Foundations of Quantitative Finance Book II: Probability Spaces and Random Variables written by Robert R. Reitano and published by CRC Press. This book was released on 2022-12-28 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: Every financial professional wants and needs an advantage. A firm foundation in advanced mathematics can translate into dramatic advantages to professionals willing to obtain it. Many are not—and that is the advantage these books offer the astute reader. Published under the collective title of Foundations of Quantitative Finance, this set of ten books presents the advanced mathematics finance professionals need to advantage their careers, these books present the theory most do not learn in graduate finance programs, or in most financial mathematics undergraduate and graduate courses. As a high-level industry executive and authoritative instructor, Robert R. Reitano presents the mathematical theories he encountered in nearly three decades working in the financial industry and two decades teaching in highly respected graduate programs. Readers should be quantitatively literate and familiar with the developments in the first book in the set, Foundations of Quantitative Finance Book I: Measure Spaces and Measurable Functions.

Probability and Social Science

Author : Daniel Courgeau
Publisher : Springer Science & Business Media
ISBN 13 : 9400728786
Total Pages : 333 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Probability and Social Science by : Daniel Courgeau

Download or read book Probability and Social Science written by Daniel Courgeau and published by Springer Science & Business Media. This book was released on 2012-02-23 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work examines in depth the methodological relationships that probability and statistics have maintained with the social sciences from their emergence. It covers both the history of thought and current methods. First it examines in detail the history of the different paradigms and axioms for probability, from their emergence in the seventeenth century up to the most recent developments of the three major concepts: objective, subjective and logicist probability. It shows the statistical inference they permit, different applications to social sciences and the main problems they encounter. On the other side, from social sciences—particularly population sciences—to probability, it shows the different uses they made of probabilistic concepts during their history, from the seventeenth century, according to their paradigms: cross-sectional, longitudinal, hierarchical, contextual and multilevel approaches. While the ties may have seemed loose at times, they have more often been very close: some advances in probability were driven by the search for answers to questions raised by the social sciences; conversely, the latter have made progress thanks to advances in probability. This dual approach sheds new light on the historical development of the social sciences and probability, and on the enduring relevance of their links. It permits also to solve a number of methodological problems encountered all along their history.

Probability and Finance

Author : Glenn Shafer
Publisher : John Wiley & Sons
ISBN 13 : 0471461717
Total Pages : 438 pages
Book Rating : 4.4/5 (714 download)

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Book Synopsis Probability and Finance by : Glenn Shafer

Download or read book Probability and Finance written by Glenn Shafer and published by John Wiley & Sons. This book was released on 2005-02-25 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Basic Principles and Applications of Probability Theory

Author : Valeriy Skorokhod
Publisher : Springer Science & Business Media
ISBN 13 : 3540263128
Total Pages : 276 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Basic Principles and Applications of Probability Theory by : Valeriy Skorokhod

Download or read book Basic Principles and Applications of Probability Theory written by Valeriy Skorokhod and published by Springer Science & Business Media. This book was released on 2005-12-05 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is an introduction to modern probability theory written by one of the famous experts in this area. Readers will learn about the basic concepts of probability and its applications, preparing them for more advanced and specialized works.

Infinite Dimensional Analysis, Quantum Probability And Related Topics, Qp38 - Proceedings Of The International Conference

Author : Noboru Watanabe
Publisher : World Scientific
ISBN 13 : 9811276005
Total Pages : 306 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Infinite Dimensional Analysis, Quantum Probability And Related Topics, Qp38 - Proceedings Of The International Conference by : Noboru Watanabe

Download or read book Infinite Dimensional Analysis, Quantum Probability And Related Topics, Qp38 - Proceedings Of The International Conference written by Noboru Watanabe and published by World Scientific. This book was released on 2023-10-25 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume aims to return to the starting point of the fields of infinite dimensional analysis and quantum probability, fields that are growing rapidly at present, and to seriously attempt mutual interaction between the two, with a view to enumerating and solving the many fundamental problems they entail. For such a purpose, we look for interdisciplinary bridges in mathematics including classical probability and to different branches of physics, in particular, research for new paradigms for information science on the basis of quantum theory.

Probability and Stochastic Processes

Author : Ionut Florescu
Publisher : John Wiley & Sons
ISBN 13 : 1118593200
Total Pages : 579 pages
Book Rating : 4.1/5 (185 download)

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Book Synopsis Probability and Stochastic Processes by : Ionut Florescu

Download or read book Probability and Stochastic Processes written by Ionut Florescu and published by John Wiley & Sons. This book was released on 2014-11-07 with total page 579 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive and accessible presentation of probability and stochastic processes with emphasis on key theoretical concepts and real-world applications With a sophisticated approach, Probability and Stochastic Processes successfully balances theory and applications in a pedagogical and accessible format. The book’s primary focus is on key theoretical notions in probability to provide a foundation for understanding concepts and examples related to stochastic processes. Organized into two main sections, the book begins by developing probability theory with topical coverage on probability measure; random variables; integration theory; product spaces, conditional distribution, and conditional expectations; and limit theorems. The second part explores stochastic processes and related concepts including the Poisson process, renewal processes, Markov chains, semi-Markov processes, martingales, and Brownian motion. Featuring a logical combination of traditional and complex theories as well as practices, Probability and Stochastic Processes also includes: Multiple examples from disciplines such as business, mathematical finance, and engineering Chapter-by-chapter exercises and examples to allow readers to test their comprehension of the presented material A rigorous treatment of all probability and stochastic processes concepts An appropriate textbook for probability and stochastic processes courses at the upper-undergraduate and graduate level in mathematics, business, and electrical engineering, Probability and Stochastic Processes is also an ideal reference for researchers and practitioners in the fields of mathematics, engineering, and finance.

Probability and Information

Author : A.M. Yaglom
Publisher : Springer Science & Business Media
ISBN 13 : 9789027715227
Total Pages : 454 pages
Book Rating : 4.7/5 (152 download)

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Book Synopsis Probability and Information by : A.M. Yaglom

Download or read book Probability and Information written by A.M. Yaglom and published by Springer Science & Business Media. This book was released on 1983-11-30 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Analysis and Probability

Author : Aurel Spataru
Publisher : Newnes
ISBN 13 : 0124017274
Total Pages : 459 pages
Book Rating : 4.1/5 (24 download)

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Book Synopsis Analysis and Probability by : Aurel Spataru

Download or read book Analysis and Probability written by Aurel Spataru and published by Newnes. This book was released on 2013-01-12 with total page 459 pages. Available in PDF, EPUB and Kindle. Book excerpt: Probability theory is a rapidly expanding field and is used in many areas of science and technology. Beginning from a basis of abstract analysis, this mathematics book develops the knowledge needed for advanced students to develop a complex understanding of probability. The first part of the book systematically presents concepts and results from analysis before embarking on the study of probability theory. The initial section will also be useful for those interested in topology, measure theory, real analysis and functional analysis. The second part of the book presents the concepts, methodology and fundamental results of probability theory. Exercises are included throughout the text, not just at the end, to teach each concept fully as it is explained, including presentations of interesting extensions of the theory. The complete and detailed nature of the book makes it ideal as a reference book or for self-study in probability and related fields. - Covers a wide range of subjects including f-expansions, Fuk-Nagaev inequalities and Markov triples. - Provides multiple clearly worked exercises with complete proofs. - Guides readers through examples so they can understand and write research papers independently.

Probability and Statistics with R

Author : Maria Dolores Ugarte
Publisher : CRC Press
ISBN 13 : 1466504404
Total Pages : 967 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Probability and Statistics with R by : Maria Dolores Ugarte

Download or read book Probability and Statistics with R written by Maria Dolores Ugarte and published by CRC Press. This book was released on 2015-07-21 with total page 967 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the publication of the popular first edition, the contributed R packages on CRAN have increased from around 1,000 to over 6,000. This second edition explores how some of these new packages make analysis easier and more intuitive as well as create more visually pleasing graphs. Along with adding new examples and exercises, this edition improves the existing examples, problems, concepts, data, and functions. Data sets, R functions, and more are available online.