Описание: This book provides the mathematical background required for the study of fractal topics. It deals with integration in the modern sense and with mathematical
probability. The emphasis is on the particular results that aid the discussion of fractals.
The book follows on Edgar's Measure, Topology, and Fractal Geometry. With exercises
throughout the text, it is ideal for beginning graduate students both in the classroom setting and for self-study.
Описание: The theory of correlation finds its origins in the pioneering work of Francis Galton. Lark Pearson and R. A. Fisher did much to develop the foundations of the subject in the early part of the twentieth century as the theory of mathematical statistics and its applications took shape. This book dates back to the 1930s, meeting the requirements of the time by providing tables of correlation coefficients to a considerable degree of accuracy, whilst also discussing a number of illustrative examples that employ the tables to provide a guide in drawing inference from observation.
Автор: Taylor Название: An Introduction to Measure and Probability ISBN: 0387948309 ISBN-13(EAN): 9780387948300 Издательство: Springer Рейтинг: Цена: 6791 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The contributors to this book examine the role and status of foreign ministries in 12 countries together with their place within the European Union. Information on the response of the foreign policy machinery to change at both the domestic and international levels is provided. Many students in mathematics, statistics, finance, business, and engineering need an introduction to measure theory. This book provides a self-contained introduction that provides students with the mathematical background needed to study applications in their areas.
Автор: Billingsley, Patrick Название: Probability and measure ISBN: 0471007102 ISBN-13(EAN): 9780471007104 Издательство: Wiley Рейтинг: Цена: 11082 р. Наличие на складе: Нет в наличии.
Описание: Now in its new third edition, "Probability and Measure" offers advanced students, scientists, and engineers an integrated introduction to measure theory and probability.
Автор: David Pollard Название: A User`s Guide to Measure Theoretic Probability ISBN: 0521802423 ISBN-13(EAN): 9780521802420 Издательство: Cambridge Academ Рейтинг: Цена: 11273 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Rigorous probabilistic arguments, built on the foundation of measure theory introduced seventy years ago by Kolmogorov, have invaded many fields. Students of statistics, biostatistics, econometrics, finance, and other changing disciplines now find themselves needing to absorb theory beyond what they might have learned in the typical undergraduate, calculus-based probability course. This book grew from a one-semester course offered for many years to a mixed audience of graduate and undergraduate students who have not had the luxury of taking a course in measure theory. The core of the book covers the basic topics of independence, conditioning, martingales, convergence in distribution, and Fourier transforms. In addition there are numerous sections treating topics traditionally thought of as more advanced, such as coupling and the KMT strong approximation, option pricing via the equivalent martingale measure, and the isoperimetric inequality for Gaussian processes. The book is not just a presentation of mathematical theory, but is also a discussion of why that theory takes its current form. It will be a secure starting point for anyone who needs to invoke rigorous probabilistic arguments and understand what they mean.
Автор: Kelley Название: Measure and Integral ISBN: 0387966331 ISBN-13(EAN): 9780387966335 Издательство: Springer Рейтинг: Цена: 6996 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The material presented includes the theory of Borel measures and integration for ~n, the general theory of integration for locally compact Hausdorff spaces, and the first dozen results about invariant measures for groups.
Автор: Koralov Название: Theory of Probability and Random Processes ISBN: 3540254846 ISBN-13(EAN): 9783540254843 Издательство: Springer Рейтинг: Цена: 6269 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: A one-year course in probability theory and the theory of random processes, taught at Princeton University to undergraduate and graduate students, forms the core of the content of this bookIt is structured in two parts: the first part providing a detailed discussion of Lebesgue integration, Markov chains, random walks, laws of large numbers, limit theorems, and their relation to Renormalization Group theory. The second part includes the theory of stationary random processes, martingales, generalized random processes, Brownian motion, stochastic integrals, and stochastic differential equations. One section is devoted to the theory of Gibbs random fields.This material is essential to many undergraduate and graduate courses. The book can also serve as a reference for scientists using modern probability theory in their research.
Автор: Durrett, Rick Название: Elementary probability for applications ISBN: 0521867568 ISBN-13(EAN): 9780521867566 Издательство: Cambridge Academ Рейтинг: Цена: 6901 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This clear and lively introduction to probability theory concentrates on the results that are the most useful for applications, including combinatorial probability and Markov chains. Concise and focused, it is designed for a one-semester introductory course in probability for students who have some familiarity with basic calculus. Reflecting the author's philosophy that the best way to learn probability is to see it in action, there are more than 350 problems and 200 examples. The examples contain all the old standards such as the birthday problem and Monty Hall, but also include a number of applications not found in other books, from areas as broad ranging as genetics, sports, finance, and inventory management.
Автор: Leadbetter Название: A Basic Course in Measure and Probability ISBN: 1107652529 ISBN-13(EAN): 9781107652521 Издательство: Cambridge Academ Рейтинг: Цена: 4370 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Originating from the authors' own graduate course at the University of North Carolina, this material has been thoroughly tried and tested over many years, making the book perfect for a two-term course or for self-study. It provides a concise introduction that covers all of the measure theory and probability most useful for statisticians, including Lebesgue integration, limit theorems in probability, martingales, and some theory of stochastic processes. Readers can test their understanding of the material through the 300 exercises provided. The book is especially useful for graduate students in statistics and related fields of application (biostatistics, econometrics, finance, meteorology, machine learning, and so on) who want to shore up their mathematical foundation. The authors establish common ground for students of varied interests which will serve as a firm 'take-off point' for them as they specialize in areas that exploit mathematical machinery.
Автор: Luis A. Santal? Название: Integral geometry and geometric probability ISBN: 0521523443 ISBN-13(EAN): 9780521523448 Издательство: Cambridge Academ Рейтинг: Цена: 7706 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Now available in the Cambridge Mathematical Library, the classic work from Luis Santalo. Integral geometry originated with problems on geometrical probability and convex bodies. Its later developments, however, have proved to be useful in several fields ranging from pure mathematics (measure theory, continuous groups) to technical and applied disciplines (pattern recognition, stereology). The book is a systematic exposition of the theory and a compilation of the main results in the field. The volume can be used to complement courses on differential geometry, Lie groups or probability or differential geometry. It is ideal both as a reference and for those wishing to enter the field.
Автор: Kingman Название: Introdction to Measure and Probability ISBN: 0521090326 ISBN-13(EAN): 9780521090322 Издательство: Cambridge Academ Рейтинг: Цена: 5176 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The authors believe that a proper treatment of probability theory requires an adequate background in the theory of finite measures in general spaces.
Описание: An Introduction to Measure-Theoretic Probability, Second Edition, employs a classical approach to teaching the basics of measure theoretic probability. This book provides in a concise, yet detailed way, the bulk of the probabilistic tools that a student working toward an advanced degree in statistics, probability and other related areas should be equipped with. This edition requires no prior knowledge of measure theory, covers all its topics in great detail, and includes one chapter on the basics of ergodic theory and one chapter on two cases of statistical estimation. Topics range from the basic properties of a measure to modes of convergence of a sequence of random variables and their relationships; the integral of a random variable and its basic properties; standard convergence theorems; standard moment and probability inequalities; the Hahn-Jordan Decomposition Theorem; the Lebesgue Decomposition T; conditional expectation and conditional probability; theory of characteristic functions; sequences of independent random variables; and ergodic theory. There is a considerable bend toward the way probability is actually used in statistical research, finance, and other academic and nonacademic applied pursuits. Extensive exercises and practical examples are included, and all proofs are presented in full detail. Complete and detailed solutions to all exercises are available to the instructors on the book companion site. This text will be a valuable resource for graduate students primarily in statistics, mathematics, electrical and computer engineering or other information sciences, as well as for those in mathematical economics/finance in the departments of economics.
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