TY  - BOOK
AU  - Gut,Allan
ED  - SpringerLink (Online service)
TI  - Probability: A Graduate Course: A Graduate Course 
T2  - Springer Texts in Statistics,
SN  - 9781461447085
AV  - QA273.A1-274.9 
U1  - 519.2 23
PY  - 2013///
CY  - New York, NY
PB  - Springer New York, Imprint: Springer
KW  - Mathematics
KW  - Probabilities
KW  - Statistics
KW  - Probability Theory and Stochastic Processes
KW  - Statistical Theory and Methods
KW  - Statistics, general
N1  - 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
N2  - 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
UR  - http://dx.doi.org/10.1007/978-1-4614-4708-5
ER  -