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Author : Yuen-Kwok Chan
Publisher : Cambridge University Press
Page : 627 pages
File Size : 48,7 Mb
Release : 2021-05-27
Category : Mathematics
ISBN : 9781108835435
This book provides a systematic and general theory of probability within the framework of constructive mathematics.
Author : Olav Kallenberg
Publisher : Springer Science & Business Media
Page : 523 pages
File Size : 41,6 Mb
Release : 2006-05-10
Category : Mathematics
ISBN : 9780387227047
Unique for its broad and yet comprehensive coverage of modern probability theory, ranging from first principles and standard textbook material to more advanced topics. In spite of the economical exposition, careful proofs are provided for all main results. After a detailed discussion of classical limit theorems, martingales, Markov chains, random walks, and stationary processes, the author moves on to a modern treatment of Brownian motion, L=82vy processes, weak convergence, It=93 calculus, Feller processes, and SDEs. The more advanced parts include material on local time, excursions, and additive functionals, diffusion processes, PDEs and potential theory, predictable processes, and general semimartingales. Though primarily intended as a general reference for researchers and graduate students in probability theory and related areas of analysis, the book is also suitable as a text for graduate and seminar courses on all levels, from elementary to advanced. Numerous easy to more challenging exercises are provided, especially for the early chapters. From the author of "Random Measures".
Author : A. N. Kolmogorov
Publisher : American Mathematical Soc.
Page : 84 pages
File Size : 40,7 Mb
Release : 2019-06-04
Category : Education
ISBN : 9781470452995
AMS Chelsea Publishing: An Imprint of the American Mathematical Society
Author : Douglas Bridges,Hajime Ishihara,Michael Rathjen,Helmut Schwichtenberg
Publisher : Cambridge University Press
Page : 863 pages
File Size : 42,5 Mb
Release : 2023-03-31
Category : Mathematics
ISBN : 9781316510865
Gives a complete overview of modern constructive mathematics and its applications through surveys by leading experts.
Author : Hans Reichenbach
Publisher : Univ of California Press
Page : 516 pages
File Size : 49,5 Mb
Release : 1971
Category : Electronic
ISBN : 8210379456XXX
Author : Alfred Renyi
Publisher : Courier Corporation
Page : 386 pages
File Size : 46,7 Mb
Release : 2007-01-01
Category : Mathematics
ISBN : 9780486462615
Introducing many innovations in content and methods, this book involves the foundations, basic concepts, and fundamental results of probability theory. Geared toward readers seeking a firm basis for study of mathematical statistics or information theory, it also covers the mathematical notions of experiments and independence. 1970 edition.
Author : Terrence L. Fine
Publisher : Academic Press
Page : 276 pages
File Size : 50,6 Mb
Release : 2014-05-10
Category : Mathematics
ISBN : 9781483263892
Theories of Probability: An Examination of Foundations reviews the theoretical foundations of probability, with emphasis on concepts that are important for the modeling of random phenomena and the design of information processing systems. Topics covered range from axiomatic comparative and quantitative probability to the role of relative frequency in the measurement of probability. Computational complexity and random sequences are also discussed. Comprised of nine chapters, this book begins with an introduction to different types of probability theories, followed by a detailed account of axiomatic formalizations of comparative and quantitative probability and the relations between them. Subsequent chapters focus on the Kolmogorov formalization of quantitative probability; the common interpretation of probability as a limit of the relative frequency of the number of occurrences of an event in repeated, unlinked trials of a random experiment; an improved theory for repeated random experiments; and the classical theory of probability. The book also examines the origin of subjective probability as a by-product of the development of individual judgments into decisions. Finally, it suggests that none of the known theories of probability covers the whole domain of engineering and scientific practice. This monograph will appeal to students and practitioners in the fields of mathematics and statistics as well as engineering and the physical and social sciences.
Author : E. Bishop,Douglas Bridges
Publisher : Springer Science & Business Media
Page : 490 pages
File Size : 48,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642616679
This work grew out of Errett Bishop's fundamental treatise 'Founda tions of Constructive Analysis' (FCA), which appeared in 1967 and which contained the bountiful harvest of a remarkably short period of research by its author. Truly, FCA was an exceptional book, not only because of the quantity of original material it contained, but also as a demonstration of the practicability of a program which most ma thematicians believed impossible to carry out. Errett's book went out of print shortly after its publication, and no second edition was produced by its publishers. Some years later, 'by a set of curious chances', it was agreed that a new edition of FCA would be published by Springer Verlag, the revision being carried out by me under Errett's supervision; at the same time, Errett gener ously insisted that I become a joint author. The revision turned out to be much more substantial than we had anticipated, and took longer than we would have wished. Indeed, tragically, Errett died before the work was completed. The present book is the result of our efforts. Although substantially based on FCA, it contains so much new material, and such full revision and expansion of the old, that it is essentially a new book. For this reason, and also to preserve the integrity of the original, I decided to give our joint work a title of its own. Most of the new material outside Chapter 5 originated with Errett.
Author : Hans Reichenbach
Publisher : Unknown
Page : 492 pages
File Size : 45,6 Mb
Release : 1949
Category : Electronic
ISBN : OCLC:954508790
Author : F. Richman
Publisher : Springer
Page : 359 pages
File Size : 47,8 Mb
Release : 2006-11-14
Category : Mathematics
ISBN : 9783540387596
Author : William Leonard Harper,Clifford Alan Hooker
Publisher : Unknown
Page : 264 pages
File Size : 52,5 Mb
Release : 1976
Category : Mathematical statistics
ISBN : UOM:39015017129928
Author : W.L. Harper,Cliff Hooker
Publisher : Springer Science & Business Media
Page : 334 pages
File Size : 50,9 Mb
Release : 1976
Category : Gardening
ISBN : 9027706174
Proceedings of an International Research Colloquium held at the University of Western Ontario, 10-13 May 1973.
Author : V. P. Orevkov,N. A. Sanin
Publisher : American Mathematical Soc.
Page : 298 pages
File Size : 41,8 Mb
Release : 1972
Category : Mathematics
ISBN : 0821830139
Author : Michiel Hazewinkel
Publisher : Springer Science & Business Media
Page : 555 pages
File Size : 53,7 Mb
Release : 2013-12-01
Category : Mathematics
ISBN : 9789400959910
This ENCYCLOPAEDIA OF MATHEMATICS aims to be a reference work for all parts of mathe matics. It is a translation with updates and editorial comments of the Soviet Mathematical Encyclopaedia published by 'Soviet Encyclopaedia Publishing House' in five volumes in 1977-1985. The annotated translation consists of ten volumes including a special index volume. There are three kinds of articles in this ENCYCLOPAEDIA. First of all there are survey-type articles dealing with the various main directions in mathematics (where a rather fine subdivi sion has been used). The main requirement for these articles has been that they should give a reasonably complete up-to-date account of the current state of affairs in these areas and that they should be maximally accessible. On the whole, these articles should be understandable to mathematics students in their first specialization years, to graduates from other mathematical areas and, depending on the specific subject, to specialists in other domains of science, en gineers and teachers of mathematics. These articles treat their material at a fairly general level and aim to give an idea of the kind of problems, techniques and concepts involved in the area in question. They also contain background and motivation rather than precise statements of precise theorems with detailed definitions and technical details on how to carry out proofs and constructions. The second kind of article, of medium length, contains more detailed concrete problems, results and techniques.
Author : Andreĭ Nikolaevich Kolmogorov
Publisher : Unknown
Page : 108 pages
File Size : 51,5 Mb
Release : 1956
Category : Electronic
ISBN : STANFORD:20501466937