Download or read book Probability in Theory Building written by and published by BRILL. This book was released on 2023-03-13 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
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.
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.
Download or read book Probability Theory written by Nikolai Dokuchaev and published by World Scientific Publishing Company. This book was released on 2015-06-12 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a systematic, self-sufficient and yet short presentation of the mainstream topics on introductory Probability Theory with some selected topics from Mathematical Statistics. It is suitable for a 10- to 14-week course for second- or third-year undergraduate students in Science, Mathematics, Statistics, Finance, or Economics, who have completed some introductory course in Calculus. There is a sufficient number of problems and solutions to cover weekly tutorials.
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 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive exploration of the issues surrounding of concept generation and theory building in educational research, drawing on international research.
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.
Download or read book Theory Building written by Robert Dubin and published by . This book was released on 1978 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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
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.
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.
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).
Download or read book Building Theories written by David Danks and published by Springer. This book was released on 2018-01-18 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores new findings on the long-neglected topic of theory construction and discovery, and challenges the orthodox, current division of scientific development into discrete stages: the stage of generation of new hypotheses; the stage of collection of relevant data; the stage of justification of possible theories; and the final stage of selection from among equally confirmed theories. The chapters, written by leading researchers, offer an interdisciplinary perspective on various aspects of the processes by which theories rationally should, and descriptively are, built. They address issues such as the role of problem-solving and heuristic reasoning in theory-building; how inferences and models shape the pursuit of scientific knowledge; the relation between problem-solving and scientific discovery; the relative values of the syntactic, semantic, and pragmatic view of theories in understanding theory construction; and the relation between ampliative inferences, heuristic reasoning, and models as a means for building new theories and knowledge. Through detailed arguments and examinations, the volume collectively challenges the orthodox view’s main tenets by characterizing the ways in which the different “stages” are logically, temporally, and psychologically intertwined. As a group, the chapters provide several attempts to answer long-standing questions about the possibility of a unified conceptual framework for building theories and formulating hypotheses.
Download or read book Radically Elementary Probability Theory written by Edward Nelson and published by Princeton University Press. This book was released on 1987 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt: Using only the very elementary framework of finite probability spaces, this book treats a number of topics in the modern theory of stochastic processes. This is made possible by using a small amount of Abraham Robinson's nonstandard analysis and not attempting to convert the results into conventional form.
Download or read book Probability Theory in Finance written by Seán Dineen and published by American Mathematical Soc.. This book was released on 2013-05-22 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: The use of the Black-Scholes model and formula is pervasive in financial markets. There are very few undergraduate textbooks available on the subject and, until now, almost none written by mathematicians. Based on a course given by the author, the goal of
Download or read book Theory Construction in Second Language Acquisition written by Geoff Jordan and published by John Benjamins Publishing. This book was released on 2004-01-01 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recently, many SLA researchers have adopted a postmodernist approach which challenges the assumption that SLA research is a rationalist, scientific endeavour. The resulting epistemological arguments, plus problems of theory proliferation, contradicting theories, and theory domain, hinder progress towards a unified theory of SLA. Theory Construction in SLA addresses these problems by returning to first principles; it asks whether there is such a thing as reliable knowledge, what is special about scientific method, and how we can best explain SLA. It is the first book to use the philosophy of science in order to examine the epistemological underpinnings of SLA research and evaluate rival theories of SLA. Part One explores the central issues in the philosophy of science, defends rationality against relativists, and offers Guidelines for theory assessment. Part Two examines different theories of SLA and evaluates them in terms of how well they stand up to the Guidelines.
Download or read book Introduction to Probability written by David F. Anderson and published by Cambridge University Press. This book was released on 2017-11-02 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
