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.
"Sinopsis" puede pertenecer a otra edición de este libro.
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.
"Sobre este título" puede pertenecer a otra edición de este libro.
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Hardcover. Condición: Very Good. 4th Edition. Loeve at Berkeley w.Jersy Nayman, Lehman, and Black; you will love this copy; still tight, sturdy; with owner's stamp 4x AMPola; 425 pages, no marks on text pages; light outer wear; Nº de ref. del artículo: 005444
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Hardcover. Condición: Fine. No Jacket. 4th Edition. 425 pp, hardbound, 4th edition, F/none, like new -- no folds, no creases, no markings, no soiling -- NOT EXLIB, Graduate Texts in Mathematics #45. Nº de ref. del artículo: 9872
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Librería: Coffee Cat Books, Chapel Hill, NC, Estados Unidos de America
Hardcover. Condición: GOOD. 4th Edition. 4th. Vol 45. 1977. Springer-Verlag. Good. Hardcover. Text with scattered markings, underlining & formula notations (most pages clean, a few heavier); name stamp of prior owner (professor) endpages. Yellow and white cloth boards, clean & bright, a bit of light red soiling to back upper corner, otherwise, light edge & shelf wear. Binding solid & square. From the personal collection of former Computer, Engineering & Electrical Dept. Professor. ISBN 0387902104. 425 pp. Detailed index. Formulas throughout, illustrated. Fourth edition graduate textbook on probability theory by M. Loeve covering random variables, limit theorems, martingales, and convergence theory with rigorous mathematical foundations, formulas throughout, and detailed index. Ships from the USA, quickly and with care. ______________________________________________________________________________________________________________ _______________ SYNOPSIS & HISTORY: This fourth edition of Probability Theory I represents a comprehensive graduate-level treatment of probability theory foundations, covering fundamental concepts essential for advanced study in mathematics, statistics, engineering, and computer science. The text systematically develops mathematical probability from axiomatic foundations through convergence of probabilities, random variables, independence, and limit theorems. Special emphasis is placed on rigorous mathematical methods and the depth and beauty of probability theory, making it invaluable for both theoretical understanding and practical applications in analysis and applied fields. Nº de ref. del artículo: 0G-sam011926G12
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