Probability: a graduate course

Book Cover
Publisher:
Springer,
Pub. Date:
[2005]
Language:
English
Description
This textbook on the theory of probability 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 explanations of the three main subjects in probability: 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.
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ISBN:
9780387228334
9780387273327
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Grouping Information

Grouped Work ID 982ac38d-ee48-d96e-d15c-5c30efdcf2a6
Full title probability a graduate course
Author gut allan
Grouping Category book
Last Update 2018-06-05 01:24:06AM
Last Indexed 2018-06-19 04:47:23AM

Solr Details

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author Gut, Allan, 1944-
author2-role SpringerLink (Online service)
author_display Gut, Allan
available_at_ccu CCU Electronic Resources
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display_description "This textbook on the theory of probability is aimed at graduate students, with the ideology 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 chapters on inequalities, characteristic functions, convergence, followed by the three main subjects, 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 main feature of this book is the combination of rigor and detail. Instead of being sketchy and leaving lots of technicalities to be filled in by the reader or as easy exercises, a more solid foundation is obtained by providing more of those not so trivial matters and by integrating some of those not so simple exercises and problems into the body of text."--Jacket.
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owning_library_ccu Colorado Christian University Online
owning_location_ccu CCU Electronic Resources
primary_isbn 9780387228334
publishDate 2005
record_details external_econtent:ils:.b29579156|eBook|eBook||English|Springer,|[2005]|1 online resource (xxiii, 603 pages).
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series Springer texts in statistics
series_with_volume Springer texts in statistics|
subject_facet Distribution (Probability theory), Distribution (Théorie des probabilités), Electronic books, MATHEMATICS -- Probability & Statistics -- General, Nombres, Théorie probabiliste des, Probabilidade, Probabilistic number theory, Probabilités, Probabilities, Verdelingen (statistiek), Waarschijnlijkheidstheorie
title_display Probability a graduate course
title_full Probability [electronic resource] : a graduate course / Allan Gut
title_short Probability
title_sub a graduate course
topic_facet Distribution (Probability theory), Distribution (Théorie des probabilités), General, MATHEMATICS, Nombres, Théorie probabiliste des, Probabilidade, Probabilistic number theory, Probabilités, Probabilities, Probability & Statistics, Verdelingen (statistiek), Waarschijnlijkheidstheorie