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Probability-1

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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.

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Detail Information

Series Title

Graduate Texts in Mathematics

Call Number

519.2 SHI p

Publisher

New York, USA : 519.2., 2016

Collation

XVII, 486

Language

English

ISBN/ISSN

978-0-387-72206-1

Classification

519.2

Content Type

text

Media Type

computer

Carrier Type

online resource

Edition

3

Subject(s)

Probabilitas

Specific Detail Info

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Statement of Responsibility

Albert N. Shiryaev

Other Information

Cataloger

Erwin

Source

https://link.springer.com/10.1007/978-0-387-72206-1

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