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Catalogue Information
Field name	Details
Dewey Class	519.2
Title	Probability-1 ([EBook]) : Volume 1 / / by Albert N. Shiryaev.
Author	Shiryaev, Albert N.
Other name(s)	SpringerLink (Online service)
Edition statement	3rd ed. 2016.
Publication	New York, NY : : Springer New York : : Imprint: Springer, , 2016.
Physical Details	XVII, 486 p. 39 illus. : online resource.
Series	Graduate texts in mathematics 0072-5285 ; ; 95
ISBN	9780387722061
Summary Note	This book contains a systematic treatment of probability from the ground up, starting with intuitive ideas and gradually developing more sophisticated subjects, such as random walks, martingales, Markov chains, the measure-theoretic foundations of probability theory, weak convergence of probability measures, and the central limit theorem. Many examples are discussed in detail, and there are a large number of exercises. The book is accessible to advanced undergraduates and can be used as a text for independent study. To accommodate the greatly expanded material in the third edition of Probability, the book is now divided into two volumes. This first volume contains updated references and substantial revisions of the first three chapters of the second edition. In particular, new material has been added on generating functions, the inclusion-exclusion principle, theorems on monotonic classes (relying on a detailed treatment of “π-λ” systems), and the fundamental theorems of mathematical statistics.:
Contents note	Introduction -- Elementary Probability Theory -- Mathematical Foundations of Probability Theory -- Convergence of Probability Measures. Central Limit Theorem.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-0-387-72206-1
Links to Related Works	Subject References: Mathematics . Probabilities . Probability theory and stochastic processes . Authors: Shiryaev, Albert N. . See Also: Širjaev, Alʹbert N. . Širjaev, Alʹbert N., 1934- . Corporate Authors: SpringerLink (Online service) . Series: Graduate texts in mathematics . GTM . Classification: 519.2 .

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Probability-1: Volume 1

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