Probability : a graduate course /
Gut, Allan, 1944-
Probability : a graduate course / [recurso electrónico] Allan Gut. - 2nd ed. - New York, N.Y. : Springer, c2013 - 1 recurso en línea (619 p.) : texto/pdf 2.98 MB; texto/EPUB - Springer texts in statistics .
1. Introductory measure theory -- 2. Random variables -- 3. Inequalities -- 4. Characteristics functions -- 5. The law of large numbers -- 6.The central limit theorem -- 7. The Law of the Iterated logarithm -- 8. Limit Theorems: Extensions and Generalizations -- 9. Martingales -- Some useful mathematics -- References.
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.
9781461447085
PROBABILIDADES
ESTADISTICA
519.2
Probability : a graduate course / [recurso electrónico] Allan Gut. - 2nd ed. - New York, N.Y. : Springer, c2013 - 1 recurso en línea (619 p.) : texto/pdf 2.98 MB; texto/EPUB - Springer texts in statistics .
1. Introductory measure theory -- 2. Random variables -- 3. Inequalities -- 4. Characteristics functions -- 5. The law of large numbers -- 6.The central limit theorem -- 7. The Law of the Iterated logarithm -- 8. Limit Theorems: Extensions and Generalizations -- 9. Martingales -- Some useful mathematics -- References.
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.
9781461447085
PROBABILIDADES
ESTADISTICA
519.2