Probability: A Graduate Course

AvAllan Gut

Häftad, Engelska, 2014

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Beskrivning

Like its predecessor, this book starts from the premise that, rather than being a purely mathematical discipline, probability theory is an intimate companion of statistics. The book starts with the basic tools, and goes on to cover a number of subjects in detail, including chapters on inequalities, characteristic functions and convergence. This is followed by a thorough treatment of the three main subjects in probability theory: the law of large numbers, the central limit theorem, and the law of the iterated logarithm. After a discussion of generalizations and extensions, the book concludes with an extensive chapter on martingales. The new edition is comprehensively updated, including some new material as well as around a dozen new references.

Produktinformation

Utgivningsdatum:2014-11-09
Mått:155 x 235 x 34 mm
Vikt:937 g
Format:Häftad
Språk:Engelska
Serie:Springer Texts in Statistics
Antal sidor:602
Upplaga:2
Förlag:Springer-Verlag New York Inc.
ISBN:9781489997555

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Mer om författaren

Allan Gut is Professor of Mathematical Statistics in the Department of Mathematics at Uppsala University, Sweden.

Recensioner i media

From the reviews of the second edition: "This book of over 600 pages gives a self-contained presentation of modern probability theory. This is an updated edition of an elementary introductory book on probability theory ... . Suitable as a textbook for beginning students in mathematics, statistics, computer science or economics ... . Also, it will be very useful to students and researchers in mathematics or theoretical physics." (Teodora-Liliana Radulescu, zbMATH, Vol. 1267, 2013)

Innehållsförteckning

Preface to the First Edition.- Preface to the Second Edition.- Outline of Contents.- Notation and Symbols.- Introductory Measure Theory.- Random Variables.- Inequalities.- Characteristic Functions.- Convergence.- The Law of Large Numbers.- The Central Limit Theorem.- The Law of the Iterated Logarithm.- Limited Theorems.- Martingales.- Some Useful Mathematics.- References.- Index.