Probability: A Graduate Course A Graduate Course /

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,...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριος συγγραφέας: Gut, Allan (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: New York, NY : Springer New York : Imprint: Springer, 2013.
Έκδοση:2nd ed. 2013.
Σειρά:Springer Texts in Statistics, 75
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
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245 1 0 |a Probability: A Graduate Course  |h [electronic resource] :  |b A Graduate Course /  |c by Allan Gut. 
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300 |a XXVI, 602 p.  |b online resource. 
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490 1 |a Springer Texts in Statistics,  |x 1431-875X ;  |v 75 
505 0 |a 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. 
520 |a 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. 
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650 0 |a Probabilities. 
650 0 |a Statistics. 
650 1 4 |a Mathematics. 
650 2 4 |a Probability Theory and Stochastic Processes. 
650 2 4 |a Statistical Theory and Methods. 
650 2 4 |a Statistics, general. 
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830 0 |a Springer Texts in Statistics,  |x 1431-875X ;  |v 75 
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