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Author : Jerzy Brzeziński
Publisher : Rodopi
ISBN 13 : 9789051836783
Total Pages : 264 pages
Book Rating : 4.8/5 (367 download)
Download or read book Probability in Theory-building written by Jerzy Brzeziński and published by Rodopi. This book was released on 1994 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jan von Plato
Publisher : Cambridge University Press
ISBN 13 : 9780521597357
Total Pages : 336 pages
Book Rating : 4.5/5 (973 download)
Download or read book Creating Modern Probability written by Jan von Plato and published by Cambridge University Press. This book was released on 1998-01-12 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book the author charts the history and development of modern probability theory.
Author : Michael Havbro Faber
Publisher : Springer Science & Business Media
ISBN 13 : 9400740565
Total Pages : 198 pages
Book Rating : 4.4/5 (7 download)
Download or read book Statistics and Probability Theory written by Michael Havbro Faber and published by Springer Science & Business Media. This book was released on 2012-03-23 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides the reader with the basic skills and tools of statistics and probability in the context of engineering modeling and analysis. The emphasis is on the application and the reasoning behind the application of these skills and tools for the purpose of enhancing decision making in engineering. The purpose of the book is to ensure that the reader will acquire the required theoretical basis and technical skills such as to feel comfortable with the theory of basic statistics and probability. Moreover, in this book, as opposed to many standard books on the same subject, the perspective is to focus on the use of the theory for the purpose of engineering model building and decision making. This work is suitable for readers with little or no prior knowledge on the subject of statistics and probability.
Author : S. R. S. Varadhan
Publisher : American Mathematical Soc.
ISBN 13 : 0821828525
Total Pages : 178 pages
Book Rating : 4.8/5 (218 download)
Download or read book Probability Theory written by S. R. S. Varadhan and published by American Mathematical Soc.. This book was released on 2001-09-10 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents topics in probability theory covered during a first-year graduate course given at the Courant Institute of Mathematical Sciences. The necessary background material in measure theory is developed, including the standard topics, such as extension theorem, construction of measures, integration, product spaces, Radon-Nikodym theorem, and conditional expectation. In the first part of the book, characteristic functions are introduced, followed by the study of weak convergence of probability distributions. Then both the weak and strong limit theorems for sums of independent random variables are proved, including the weak and strong laws of large numbers, central limit theorems, laws of the iterated logarithm, and the Kolmogorov three series theorem. The first part concludes with infinitely divisible distributions and limit theorems for sums of uniformly infinitesimal independent random variables. The second part of the book mainly deals with dependent random variables, particularly martingales and Markov chains. Topics include standard results regarding discrete parameter martingales and Doob's inequalities. The standard topics in Markov chains are treated, i.e., transience, and null and positive recurrence. A varied collection of examples is given to demonstrate the connection between martingales and Markov chains. Additional topics covered in the book include stationary Gaussian processes, ergodic theorems, dynamic programming, optimal stopping, and filtering. A large number of examples and exercises is included. The book is a suitable text for a first-year graduate course in probability.
Author : Rick Durrett
Publisher : Cambridge University Press
ISBN 13 : 113949113X
Total Pages : pages
Book Rating : 4.1/5 (394 download)
Download or read book Probability written by Rick Durrett and published by Cambridge University Press. This book was released on 2010-08-30 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic introduction to probability theory for beginning graduate students covers laws of large numbers, central limit theorems, random walks, martingales, Markov chains, ergodic theorems, and Brownian motion. It is a comprehensive treatment concentrating on the results that are the most useful for applications. Its philosophy is that the best way to learn probability is to see it in action, so there are 200 examples and 450 problems. The fourth edition begins with a short chapter on measure theory to orient readers new to the subject.
Author :
Publisher : Allied Publishers
ISBN 13 : 9788177644517
Total Pages : 436 pages
Book Rating : 4.6/5 (445 download)
Download or read book Probability Theory written by and published by Allied Publishers. This book was released on 2013 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: Probability theory
Author : Michael A. Proschan
Publisher : CRC Press
ISBN 13 : 131536235X
Total Pages : 328 pages
Book Rating : 4.3/5 (153 download)
Download or read book Essentials of Probability Theory for Statisticians written by Michael A. Proschan and published by CRC Press. This book was released on 2018-09-03 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: Essentials of Probability Theory for Statisticians provides graduate students with a rigorous treatment of probability theory, with an emphasis on results central to theoretical statistics. It presents classical probability theory motivated with illustrative examples in biostatistics, such as outlier tests, monitoring clinical trials, and using adaptive methods to make design changes based on accumulating data. The authors explain different methods of proofs and show how they are useful for establishing classic probability results. After building a foundation in probability, the text intersperses examples that make seemingly esoteric mathematical constructs more intuitive. These examples elucidate essential elements in definitions and conditions in theorems. In addition, counterexamples further clarify nuances in meaning and expose common fallacies in logic. This text encourages students in statistics and biostatistics to think carefully about probability. It gives them the rigorous foundation necessary to provide valid proofs and avoid paradoxes and nonsensical conclusions.
Author : A. N. Kolmogorov
Publisher : Martino Fine Books
ISBN 13 : 9781614275145
Total Pages : 96 pages
Book Rating : 4.2/5 (751 download)
Download or read book Foundations of the Theory of Probability written by A. N. Kolmogorov and published by Martino Fine Books. This book was released on 2013-11 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt: 2013 Reprint of 1956 Second Edition. Full facsimile of the original edition, not reproduced with Optical Recognition Software. "Foundations of the Theory of Probability" by Andrey Nikolaevich Kolmogorov is historically important in the history of mathematics. It is the foundation of modern probability theory. The monograph appeared as "Grundbegriffe der Wahrscheinlichkeitsrechnung" in 1933 and build up probability theory in a rigorous way similar to what Euclid did with geometry. With this treastise Kolmogorov laid the foundations for modern probability theory and established his reputation as the world's leading expert in this field.
Author : Richard von Mises
Publisher : Academic Press
ISBN 13 : 1483264025
Total Pages : 709 pages
Book Rating : 4.4/5 (832 download)
Download or read book Mathematical Theory of Probability and Statistics written by Richard von Mises and published by Academic Press. This book was released on 2014-05-12 with total page 709 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Author : Robert Azencott
Publisher : Springer Science & Business Media
ISBN 13 : 1461249120
Total Pages : 243 pages
Book Rating : 4.4/5 (612 download)
Download or read book Series of Irregular Observations written by Robert Azencott and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: At the university level, in probability and statistics departments or electrical engineering departments, this book contains enough material for a graduate course, or even for an upper-level undergraduate course if the asymptotic studies are reduced to a minimum. The prerequisites for most of the chapters (l - 12) are fairly limited: the elements of Hilbert space theory, and the basics of axiomatic probability theory including L 2-spaces, the notions of distributions, random variables and bounded measures. The standards of precision, conciseness, and mathematical rigour which we have maintained in this text are in clearcut contrast with the majority of similar texts on the subject. The main advantage of this choice should be a considerable gain of time for the noninitiated reader, provided he or she has a taste for mathematical language. On the other hand, being fully aware of the usefulness of ARMA models for applications, we present carefully and in full detail the essential algorithms for practical modelling and identification of ARMA processes. The experience gained from several graduate courses on these themes (Universities of Paris-Sud and of Paris-7) has shown that the mathematical material included here is sufficient to build reasonable computer programs of data analysis by ARMA modelling. To facilitate the reading, we have inserted a bibliographical guide at the end of each chapter and, indicated by stars (* ... *), a few intricate mathematical points which may be skipped over by nonspecialists.
Author : Daniel W. Stroock
Publisher : Cambridge University Press
ISBN 13 : 9780521663496
Total Pages : 558 pages
Book Rating : 4.6/5 (634 download)
Download or read book Probability Theory, an Analytic View written by Daniel W. Stroock and published by Cambridge University Press. This book was released on 1999 with total page 558 pages. Available in PDF, EPUB and Kindle. Book excerpt: This revised edition is suitable for a first-year graduate course on probability theory. It is intended for students with a good grasp of introductory, undergraduate probability and is a reasonably sophisticated introduction to modern analysis for those who want to learn what these two topics have to say about each other. The first part of the book deals with independent random variables, Central Limit phenomena, the general theory of weak convergence and several of its applications, as well as elements of both the Gaussian and Markovian theory of measures on function space. The introduction of conditional expectation values is postponed until the second part of the book where it is applied to the study of martingales. This section also explores the connection between martingales and various aspects of classical analysis and the connections between Wiener's measure and classical potential theory.
Author : James Jaccard
Publisher : Guilford Press
ISBN 13 : 1462542476
Total Pages : 546 pages
Book Rating : 4.4/5 (625 download)
Download or read book Theory Construction and Model-Building Skills, Second Edition written by James Jaccard and published by Guilford Press. This book was released on 2019-12-17 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt: This accessible, hands-on text has now been revised and updated, with expanded coverage of topics including how theory may emerge from exploratory data analysis. The book prepares graduate students, new researchers, and even seasoned investigators to develop their own theories and build on existing ones. Concrete strategies are provided to help readers generate ideas, define constructs, and think through relationships and processes that link constructs. Compelling examples from multiple disciplines illustrate the use of quantitative, qualitative, and mixed methods orientations to theory construction. The text also offers practical advice for writing effectively about theories in papers and grant applications. Readers learn by doing via application and concept exercises, demonstration boxes, and practical guidelines. The extensive companion website (www.theory-construction.com) includes PowerPoint slides of all of the book's figures, primers on advanced topics, video demonstrations, supplemental exercises, and other resources. New to This Edition *Emergent theory is now covered in mixed methods as well as qualitative approaches, plus in a new chapter on exploratory quantitative methods that can help generate new theory through data mining. *Chapter on whether and how to revise a theory when faced with disconfirmatory data. *Two chapters on the theoretical underpinnings of measurement practices. *New or expanded discussions of what constitutes a theoretical contribution, conceptual logic models, thought experiments, and more. Pedagogical Features *Application and concept exercises in every chapter. *Lists of key terms and engaging topical boxes. *Annotated suggestions for further reading. *New companion website with rich resources for students and instructors. *Chapters stand on their own and can be used in any order.
Author : John Chiasson
Publisher : Wiley
ISBN 13 : 9781118615102
Total Pages : 984 pages
Book Rating : 4.6/5 (151 download)
Download or read book Introduction to Probability Theory and Stochastic Processes written by John Chiasson and published by Wiley. This book was released on 2013-03-29 with total page 984 pages. Available in PDF, EPUB and Kindle. Book excerpt: A unique approach to stochastic processes that connects the mathematical formulation of random processes to their use in applications This book presents an innovative approach to teaching probability theory and stochastic processes based on the binary expansion of the unit interval. Departing from standard pedagogy, it uses the binary expansion of the unit interval to explicitly construct an infinite sequence of independent random variables (of any given distribution) on a single probability space. This construction then provides the framework to understand the mathematical formulation of probability theory for its use in applications. Features include: The theory is presented first for countable sample spaces (Chapters 1-3) and then for uncountable sample spaces (Chapters 4-18) Coverage of the explicit construction of i.i.d. random variables on a single probability space to explain why it is the distribution function rather than the functional form of random variables that matters when it comes to modeling random phenomena Explicit construction of continuous random variables to facilitate the "digestion" of random variables, i.e., how they are used in contrast to how they are defined Explicit construction of continuous random variables to facilitate the two views of expectation: as integration over the underlying probability space (abstract view) or as integration using the density function (usual view) A discussion of the connections between Bernoulli, geometric, and Poisson processes Incorporation of the Johnson-Nyquist noise model and an explanation of why (and when) it is valid to use a delta function to model its autocovariance Comprehensive, astute, and practical, Introduction to Probability Theory and Stochastic Processes is a clear presentation of essential topics for those studying communications, control, machine learning, digital signal processing, computer networks, pattern recognition, image processing, and coding theory.
Author : Jan von Plato
Publisher : Cambridge University Press
ISBN 13 : 1316583643
Total Pages : 336 pages
Book Rating : 4.3/5 (165 download)
Download or read book Creating Modern Probability written by Jan von Plato and published by Cambridge University Press. This book was released on 1994-01-28 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the only book to chart the history and development of modern probability theory. It shows how in the first thirty years of this century probability theory became a mathematical science. The author also traces the development of probabilistic concepts and theories in statistical and quantum physics. There are chapters dealing with chance phenomena, as well as the main mathematical theories of today, together with their foundational and philosophical problems. Among the theorists whose work is treated at some length are Kolmogorov, von Mises and de Finetti. The principal audience for the book comprises philosophers and historians of science, mathematicians concerned with probability and statistics, and physicists. The book will also interest anyone fascinated by twentieth-century scientific developments because the birth of modern probability is closely tied to the change from a determinist to an indeterminist world-view.
Author : Taha Sochi
Publisher : Taha Sochi
ISBN 13 :
Total Pages : 185 pages
Book Rating : 4./5 ( download)
Download or read book Introduction to the Probability Theory written by Taha Sochi and published by Taha Sochi. This book was released on 2023-02-07 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of notes and solved problems about probability theory. The book also contains proposed exercises attached to the solved problems as well as computer codes (in C++ language) added to some of these problems for the purpose of calculation, test and simulation. Illustrations (such as figures and tables) are added when necessary or appropriate to enhance clarity and improve understanding. In most cases intuitive arguments and methods are used to make the notes and solutions natural and instinctive. Like my previous books, maximum clarity was one of the main objectives and criteria in determining the style of writing, presenting and structuring the book as well as selecting its contents. However, the reader should notice that the book, in most parts, does not go beyond the basic probability and hence most subjects are presented and treated at their basic level. Accordingly, modest mathematical background knowledge is required for understanding most of the contents of the book. In fact, the book in most parts requires no more than a college or secondary school level of general mathematics. So, the intended readers of the book are primarily college (or A-level) students as well as junior undergraduate students (e.g. in mathematics or science or engineering). An interesting feature of the book is that it is written and designed, in part, to address practical calculational issues (e.g. through sample codes and suggested methods of solution) and hence it is especially useful to those who are interested in the calculational applications of the probability theory. The book can be used as a text or as a reference for an introductory course on this subject and may also be used for general reading in mathematics. The book may also be adopted as a source of pedagogical materials which can supplement, for instance, tutorial sessions (e.g. in undergraduate courses on mathematics or science).
Author : Nigel Kettley
Publisher : Bloomsbury Publishing
ISBN 13 : 1441150706
Total Pages : 225 pages
Book Rating : 4.4/5 (411 download)
Download or read book Theory Building in Educational Research written by Nigel Kettley and published by Bloomsbury Publishing. This book was released on 2013-02-14 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides comprehensive guidance on the subjects of concept generation and theory building in educational research. By deploying the conceptual, methodological and theoretical principles of the Cambridge School of Sociology, which underpin a range of contemporary empirical research, the author shows how theory building and theory in contemporary educational research are in a state of crisis. In his compelling analysis, Nigel Kettley develops an alternative approach to theory building in educational research, and explores a radical new system for facilitating the growth of knowledge and the development of sound policy recommendations in education studies.
Author : René Carmona
Publisher : Springer
ISBN 13 : 3319589202
Total Pages : 728 pages
Book Rating : 4.3/5 (195 download)
Download or read book Probabilistic Theory of Mean Field Games with Applications I written by René Carmona and published by Springer. This book was released on 2018-03-01 with total page 728 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two-volume book offers a comprehensive treatment of the probabilistic approach to mean field game models and their applications. The book is self-contained in nature and includes original material and applications with explicit examples throughout, including numerical solutions. Volume I of the book is entirely devoted to the theory of mean field games without a common noise. The first half of the volume provides a self-contained introduction to mean field games, starting from concrete illustrations of games with a finite number of players, and ending with ready-for-use solvability results. Readers are provided with the tools necessary for the solution of forward-backward stochastic differential equations of the McKean-Vlasov type at the core of the probabilistic approach. The second half of this volume focuses on the main principles of analysis on the Wasserstein space. It includes Lions' approach to the Wasserstein differential calculus, and the applications of its results to the analysis of stochastic mean field control problems. Together, both Volume I and Volume II will greatly benefit mathematical graduate students and researchers interested in mean field games. The authors provide a detailed road map through the book allowing different access points for different readers and building up the level of technical detail. The accessible approach and overview will allow interested researchers in the applied sciences to obtain a clear overview of the state of the art in mean field games.
