Probability Theory

Srs Varadhan

16 valoraciones de Goodreads

Idioma: inglés

Editorial: American Mathematical Society, 2001

0821828525 / 9780821828526

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Librería: World of Books (was SecondSale), Montgomery, IL, Estados Unidos de AmericaWorld of Books (was SecondSale)

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Descripción del artículo del vendedor

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. …

N° de ref. del artículo 00106658218

Título
Probability Theory
Autor
Srs Varadhan
Editorial
American Mathematical Society
Año de publicación
2001
Estado
Good
Encuadernación
Paperback
Idioma
inglés
ISBN 10
0821828525
ISBN 13
9780821828526

World of Books (was SecondSale)

Montgomery, IL, Estados Unidos de America

Vendedor de 5 estrellas

Vendedor de IberLibro desde 20 de diciembre de 2007

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ArtículoDe 4 a 12 días hábilesDe 3 a 6 días hábiles
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Founded in 2002, World of Books is a leading online destination for buying and selling both preloved and new books, committed to making sustainable reading accessible to all. With a mission to help people read more and waste less, World of Books offers a huge range of affordable, high-quality books — giving both new and preloved titles a second life. The company also operates World of Books – Sell Your Books, an easy-to-use platform that allows customers to trade in unwanted books for cash, helping to keep books in circulation while promoting sustainability. As a Certified B Corp, World of Books is driven by a vision to become the world’s largest and most sustainable dedicated online bookstore. The company measures its success through the positive environmental impact it creates, the value it provides to customers, and its ability to operate profitably while supporting its sustainable mission …

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