M. Loeve: Probability Theory I | Buch

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Cover: 9780387902104 | Probability Theory I | M. Loève | Buch | HC runder Rücken kaschiert

Bild: 9780387902104 | Probability Theory I | M. Loève | Buch | HC runder Rücken kaschiert

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Sprache: Englisch

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Beschreibung

This fourth edition contains several additions. The main ones con cern three closely related topics: Brownian motion, functional limit distributions, and random walks. Besides the power and ingenuity of their methods and the depth and beauty of their results, their importance is fast growing in Analysis as well as in theoretical and applied Proba bility. These additions increased the book to an unwieldy size and it had to be split into two volumes. About half of the first volume is devoted to an elementary introduc tion, then to mathematical foundations and basic probability concepts and tools. The second half is devoted to a detailed study of Independ ence which played and continues to playa central role both by itself and as a catalyst. The main additions consist of a section on convergence of probabilities on metric spaces and a chapter whose first section on domains of attrac tion completes the study of the Central limit problem, while the second one is devoted to random walks. About a third of the second volume is devoted to conditioning and properties of sequences of various types of dependence. The other two thirds are devoted to random functions; the last Part on Elements of random analysis is more sophisticated. The main addition consists of a chapter on Brownian motion and limit distributions.

Inhaltsverzeichnis

of Volume I.- Introductory Part: Elementary Probability Theory.- I. Intuitive Background.- II. Axioms; Independence and the Bernoulli Case.- III. Dependence and Chains.- Complements and Details.- One: Notions of Measure Theory.- I: Sets, Spaces, and Measures.- II: Measurable Functions and Integration.- Two: General Concepts and Tools of Probability Theory.- III: Probability Concepts.- IV: Distribution Functions and Characteristic Functions.- Three: Independence.- V: Sums of Independent Random Variables.- VI: Central Limit Problem.- VII: Independent Identically Distributed Summands.

Erscheinungsjahr:	1977
Fachbereich:	Wahrscheinlichkeitstheorie
Genre:	Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Seiten:	448
Reihe:	Graduate Texts in Mathematics
Inhalt:	xviii 428 S.
ISBN-13:	9780387902104
ISBN-10:	0387902104
Sprache:	Englisch
Ausstattung / Beilage:	HC runder Rücken kaschiert
Einband:	Gebunden
Autor:	Loeve, M.
Auflage:	4th ed. 1977
Hersteller:	Springer US Springer New York Graduate Texts in Mathematics
Maße:	240 x 161 x 30 mm
Von/Mit:	M. Loeve
Erscheinungsdatum:	29.03.1977
Gewicht:	0,836 kg

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