Probability With a View Towards Statistics, Volume II

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Publisher : Routledge
ISBN 13 : 1351421549
Total Pages : 296 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Probability With a View Towards Statistics, Volume II by : J. Hoffman-Jorgensen

Download or read book Probability With a View Towards Statistics, Volume II written by J. Hoffman-Jorgensen and published by Routledge. This book was released on 2017-11-22 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume II of this two-volume text and reference work concentrates on the applications of probability theory to statistics, e.g., the art of calculating densities of complicated transformations of random vectors, exponential models, consistency of maximum estimators, and asymptotic normality of maximum estimators. It also discusses topics of a pure probabilistic nature, such as stochastic processes, regular conditional probabilities, strong Markov chains, random walks, and optimal stopping strategies in random games. Unusual topics include the transformation theory of densities using Hausdorff measures, the consistency theory using the upper definition function, and the asymptotic normality of maximum estimators using twice stochastic differentiability. With an emphasis on applications to statistics, this is a continuation of the first volume, though it may be used independently of that book. Assuming a knowledge of linear algebra and analysis, as well as a course in modern probability, Volume II looks at statistics from a probabilistic point of view, touching only slightly on the practical computation aspects.

Probability With a View Towards Statistics, Volume I

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Author :
Publisher : Routledge
ISBN 13 : 1351421581
Total Pages : 630 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Probability With a View Towards Statistics, Volume I by : J. Hoffman-Jorgensen

Download or read book Probability With a View Towards Statistics, Volume I written by J. Hoffman-Jorgensen and published by Routledge. This book was released on 2017-11-22 with total page 630 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume I of this two-volume text and reference work begins by providing a foundation in measure and integration theory. It then offers a systematic introduction to probability theory, and in particular, those parts that are used in statistics. This volume discusses the law of large numbers for independent and non-independent random variables, transforms, special distributions, convergence in law, the central limit theorem for normal and infinitely divisible laws, conditional expectations and martingales. Unusual topics include the uniqueness and convergence theorem for general transforms with characteristic functions, Laplace transforms, moment transforms and generating functions as special examples. The text contains substantive applications, e.g., epidemic models, the ballot problem, stock market models and water reservoir models, and discussion of the historical background. The exercise sets contain a variety of problems ranging from simple exercises to extensions of the theory.

High-Dimensional Probability

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Publisher : Cambridge University Press
ISBN 13 : 1108415199
Total Pages : 299 pages
Book Rating : 4.1/5 (84 download)

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Book Synopsis High-Dimensional Probability by : Roman Vershynin

Download or read book High-Dimensional Probability written by Roman Vershynin and published by Cambridge University Press. This book was released on 2018-09-27 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: An integrated package of powerful probabilistic tools and key applications in modern mathematical data science.

Probability for Statisticians

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Publisher : Springer
ISBN 13 : 3319522078
Total Pages : 510 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Probability for Statisticians by : Galen R. Shorack

Download or read book Probability for Statisticians written by Galen R. Shorack and published by Springer. This book was released on 2017-09-21 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt: The choice of examples used in this text clearly illustrate its use for a one-year graduate course. The material to be presented in the classroom constitutes a little more than half the text, while the rest of the text provides background, offers different routes that could be pursued in the classroom, as well as additional material that is appropriate for self-study. Of particular interest is a presentation of the major central limit theorems via Steins method either prior to or alternative to a characteristic function presentation. Additionally, there is considerable emphasis placed on the quantile function as well as the distribution function, with both the bootstrap and trimming presented. The section on martingales covers censored data martingales.

Theory of Probability

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Publisher : John Wiley & Sons
ISBN 13 : 1119286379
Total Pages : 611 pages
Book Rating : 4.1/5 (192 download)

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Book Synopsis Theory of Probability by : Bruno de Finetti

Download or read book Theory of Probability written by Bruno de Finetti and published by John Wiley & Sons. This book was released on 2017-04-17 with total page 611 pages. Available in PDF, EPUB and Kindle. Book excerpt: First issued in translation as a two-volume work in 1975, this classic book provides the first complete development of the theory of probability from a subjectivist viewpoint. It proceeds from a detailed discussion of the philosophical mathematical aspects to a detailed mathematical treatment of probability and statistics. De Finetti's theory of probability is one of the foundations of Bayesian theory. De Finetti stated that probability is nothing but a subjective analysis of the likelihood that something will happen and that that probability does not exist outside the mind. It is the rate at which a person is willing to bet on something happening. This view is directly opposed to the classicist/ frequentist view of the likelihood of a particular outcome of an event, which assumes that the same event could be identically repeated many times over, and the 'probability' of a particular outcome has to do with the fraction of the time that outcome results from the repeated trials.

Probability with a View Toward Statistics

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (644 download)

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Book Synopsis Probability with a View Toward Statistics by : Jørgen Hoffmann-Jørgensen

Download or read book Probability with a View Toward Statistics written by Jørgen Hoffmann-Jørgensen and published by . This book was released on 1994 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction to Probability

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Author :
Publisher : Cambridge University Press
ISBN 13 : 110824498X
Total Pages : 447 pages
Book Rating : 4.1/5 (82 download)

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Book Synopsis Introduction to Probability by : David F. Anderson

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.

Probability With a View Towards Statistics

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Publisher : CRC Press
ISBN 13 : 9780412052316
Total Pages : 554 pages
Book Rating : 4.0/5 (523 download)

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Book Synopsis Probability With a View Towards Statistics by : J. Hoffman-Jorgensen

Download or read book Probability With a View Towards Statistics written by J. Hoffman-Jorgensen and published by CRC Press. This book was released on 1994-05-15 with total page 554 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume II of this two-volume text and reference work concentrates on the applications of probability theory to statistics, e.g., the art of calculating densities of complicated transformations of random vectors, exponential models, consistency of maximum estimators, and asymptotic normality of maximum estimators. It also discusses topics of a pure probabilistic nature, such as stochastic processes, regular conditional probabilities, strong Markov chains, random walks, and optimal stopping strategies in random games. Unusual topics include the transformation theory of densities using Hausdorff measures, the consistency theory using the upper definition function, and the asymptotic normality of maximum estimators using twice stochastic differentiability. With an emphasis on applications to statistics, this is a continuation of the first volume, though it may be used independently of that book. Assuming a knowledge of linear algebra and analysis, as well as a course in modern probability, Volume II looks at statistics from a probabilistic point of view, touching only slightly on the practical computation aspects.

Probability with Statistical Applications

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 081768249X
Total Pages : 349 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Probability with Statistical Applications by : Rinaldo B. Schinazi

Download or read book Probability with Statistical Applications written by Rinaldo B. Schinazi and published by Springer Science & Business Media. This book was released on 2011-12-15 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second edition textbook offers a practical introduction to probability for undergraduates at all levels with different backgrounds and views towards applications. Calculus is a prerequisite for understanding the basic concepts, however the book is written with a sensitivity to students’ common difficulties with calculus that does not obscure the thorough treatment of the probability content. The first six chapters of this text neatly and concisely cover the material traditionally required by most undergraduate programs for a first course in probability. The comprehensive text includes a multitude of new examples and exercises, and careful revisions throughout. Particular attention is given to the expansion of the last three chapters of the book with the addition of one entirely new chapter (9) on ’Finding and Comparing Estimators.’ The classroom-tested material presented in this second edition forms the basis for a second course introducing mathematical statistics.

A Modern Introduction to Probability and Statistics

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Publisher : Springer Science & Business Media
ISBN 13 : 1846281687
Total Pages : 488 pages
Book Rating : 4.8/5 (462 download)

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Book Synopsis A Modern Introduction to Probability and Statistics by : F.M. Dekking

Download or read book A Modern Introduction to Probability and Statistics written by F.M. Dekking and published by Springer Science & Business Media. This book was released on 2006-03-30 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: Suitable for self study Use real examples and real data sets that will be familiar to the audience Introduction to the bootstrap is included – this is a modern method missing in many other books

Probability Theory

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Publisher : Cambridge University Press
ISBN 13 : 1139494619
Total Pages : 550 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Probability Theory by : Daniel W. Stroock

Download or read book Probability Theory written by Daniel W. Stroock and published by Cambridge University Press. This book was released on 2010-12-31 with total page 550 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second edition of Daniel W. Stroock's text is suitable for first-year graduate students with a good grasp of introductory, undergraduate probability theory and a sound grounding in analysis. It is intended to provide readers with an introduction to probability theory and the analytic ideas and tools on which the modern theory relies. It includes more than 750 exercises. Much of the content has undergone significant revision. In particular, the treatment of Levy processes has been rewritten, and a detailed account of Gaussian measures on a Banach space is given.

Probability Theory

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Publisher : World Scientific Publishing Company
ISBN 13 : 9814678058
Total Pages : 224 pages
Book Rating : 4.8/5 (146 download)

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Book Synopsis Probability Theory by : Nikolai Dokuchaev

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.

Probability on Graphs

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Publisher : Cambridge University Press
ISBN 13 : 9780521147354
Total Pages : 260 pages
Book Rating : 4.1/5 (473 download)

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Book Synopsis Probability on Graphs by : Geoffrey Grimmett

Download or read book Probability on Graphs written by Geoffrey Grimmett and published by Cambridge University Press. This book was released on 2010-06-24 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introduction to some of the principal models in the theory of disordered systems leads the reader through the basics, to the very edge of contemporary research, with the minimum of technical fuss. Topics covered include random walk, percolation, self-avoiding walk, interacting particle systems, uniform spanning tree, random graphs, as well as the Ising, Potts, and random-cluster models for ferromagnetism, and the Lorentz model for motion in a random medium. Schramm-Löwner evolutions (SLE) arise in various contexts. The choice of topics is strongly motivated by modern applications and focuses on areas that merit further research. Special features include a simple account of Smirnov's proof of Cardy's formula for critical percolation, and a fairly full account of the theory of influence and sharp-thresholds. Accessible to a wide audience of mathematicians and physicists, this book can be used as a graduate course text. Each chapter ends with a range of exercises.

Probability With a View Towards Statistics, Volume II

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Author :
Publisher : Routledge
ISBN 13 : 1351421557
Total Pages : 552 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Probability With a View Towards Statistics, Volume II by : J. Hoffman-Jorgensen

Download or read book Probability With a View Towards Statistics, Volume II written by J. Hoffman-Jorgensen and published by Routledge. This book was released on 2017-11-22 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume II of this two-volume text and reference work concentrates on the applications of probability theory to statistics, e.g., the art of calculating densities of complicated transformations of random vectors, exponential models, consistency of maximum estimators, and asymptotic normality of maximum estimators. It also discusses topics of a pure probabilistic nature, such as stochastic processes, regular conditional probabilities, strong Markov chains, random walks, and optimal stopping strategies in random games. Unusual topics include the transformation theory of densities using Hausdorff measures, the consistency theory using the upper definition function, and the asymptotic normality of maximum estimators using twice stochastic differentiability. With an emphasis on applications to statistics, this is a continuation of the first volume, though it may be used independently of that book. Assuming a knowledge of linear algebra and analysis, as well as a course in modern probability, Volume II looks at statistics from a probabilistic point of view, touching only slightly on the practical computation aspects.

Elements of Probability and Statistics

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Publisher : Springer
ISBN 13 : 3319072544
Total Pages : 246 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Elements of Probability and Statistics by : Francesca Biagini

Download or read book Elements of Probability and Statistics written by Francesca Biagini and published by Springer. This book was released on 2016-01-22 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to elementary probability and to Bayesian statistics using de Finetti's subjectivist approach. One of the features of this approach is that it does not require the introduction of sample space – a non-intrinsic concept that makes the treatment of elementary probability unnecessarily complicate – but introduces as fundamental the concept of random numbers directly related to their interpretation in applications. Events become a particular case of random numbers and probability a particular case of expectation when it is applied to events. The subjective evaluation of expectation and of conditional expectation is based on an economic choice of an acceptable bet or penalty. The properties of expectation and conditional expectation are derived by applying a coherence criterion that the evaluation has to follow. The book is suitable for all introductory courses in probability and statistics for students in Mathematics, Informatics, Engineering, and Physics.

Introduction to Probability with R

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Publisher : CRC Press
ISBN 13 : 9781420065220
Total Pages : 384 pages
Book Rating : 4.0/5 (652 download)

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Book Synopsis Introduction to Probability with R by : Kenneth Baclawski

Download or read book Introduction to Probability with R written by Kenneth Baclawski and published by CRC Press. This book was released on 2008-01-24 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on a popular course taught by the late Gian-Carlo Rota of MIT, with many new topics covered as well, Introduction to Probability with R presents R programs and animations to provide an intuitive yet rigorous understanding of how to model natural phenomena from a probabilistic point of view. Although the R programs are small in length, they are just as sophisticated and powerful as longer programs in other languages. This brevity makes it easy for students to become proficient in R. This calculus-based introduction organizes the material around key themes. One of the most important themes centers on viewing probability as a way to look at the world, helping students think and reason probabilistically. The text also shows how to combine and link stochastic processes to form more complex processes that are better models of natural phenomena. In addition, it presents a unified treatment of transforms, such as Laplace, Fourier, and z; the foundations of fundamental stochastic processes using entropy and information; and an introduction to Markov chains from various viewpoints. Each chapter includes a short biographical note about a contributor to probability theory, exercises, and selected answers. The book has an accompanying website with more information.

Probably Not

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Publisher : John Wiley & Sons
ISBN 13 : 1119518105
Total Pages : 352 pages
Book Rating : 4.1/5 (195 download)

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Book Synopsis Probably Not by : Lawrence N. Dworsky

Download or read book Probably Not written by Lawrence N. Dworsky and published by John Wiley & Sons. This book was released on 2019-09-04 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: A revised edition that explores random numbers, probability, and statistical inference at an introductory mathematical level Written in an engaging and entertaining manner, the revised and updated second edition of Probably Not continues to offer an informative guide to probability and prediction. The expanded second edition contains problem and solution sets. In addition, the book’s illustrative examples reveal how we are living in a statistical world, what we can expect, what we really know based upon the information at hand and explains when we only think we know something. The author introduces the principles of probability and explains probability distribution functions. The book covers combined and conditional probabilities and contains a new section on Bayes Theorem and Bayesian Statistics, which features some simple examples including the Presecutor’s Paradox, and Bayesian vs. Frequentist thinking about statistics. New to this edition is a chapter on Benford’s Law that explores measuring the compliance and financial fraud detection using Benford’s Law. This book: Contains relevant mathematics and examples that demonstrate how to use the concepts presented Features a new chapter on Benford’s Law that explains why we find Benford’s law upheld in so many, but not all, natural situations Presents updated Life insurance tables Contains updates on the Gantt Chart example that further develops the discussion of random events Offers a companion site featuring solutions to the problem sets within the book Written for mathematics and statistics students and professionals, the updated edition of Probably Not: Future Prediction Using Probability and Statistical Inference, Second Edition combines the mathematics of probability with real-world examples. LAWRENCE N. DWORSKY, PhD, is a retired Vice President of the Technical Staff and Director of Motorola’s Components Research Laboratory in Schaumburg, Illinois, USA. He is the author of Introduction to Numerical Electrostatics Using MATLAB from Wiley.