Coverart for item
The Resource Probability theory : a comprehensive course, Achim Klenke

Probability theory : a comprehensive course, Achim Klenke

Label
Probability theory : a comprehensive course
Title
Probability theory
Title remainder
a comprehensive course
Statement of responsibility
Achim Klenke
Creator
Contributor
Author
Subject
Genre
Language
  • eng
  • ger
  • eng
Summary
Probabilistic concepts play an increasingly important role in mathematics, physics, biology, financial engineering and computer science. They help us to understand magnetism, amorphous media, genetic diversity and the perils of random developments on the financial markets, and they guide us in constructing more efficient algorithms." "This text is a comprehensive course in modern probability theory and its measure-theoretical foundations. Aimed primarily at graduate students and researchers, the book covers a wide variety of topics, many of which are not usually found in introductory textbooks." "The theory is developed rigorously and in a self-contained way, with the chapters on measure theory interlaced with the probabilistic chapters in order to display the power of the abstract concepts in the world of probability theory. In addition, plenty of figures, computer simulations, biographic details of key mathematicians, and a wealth of examples support and enliven the presentation."--Jacket
Member of
Cataloging source
GW5XE
http://library.link/vocab/creatorName
Klenke, Achim
Dewey number
519.2
Illustrations
illustrations
Index
index present
Language note
English
LC call number
QA273.18
LC item number
.K5413 2014
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
NLM call number
Online Book
http://library.link/vocab/relatedWorkOrContributorName
Klenke, Achim
Series statement
Universitext
http://library.link/vocab/subjectName
  • Probabilities
  • Probability Theory
  • Probabilities
  • Wahrscheinlichkeitstheorie
  • Probabilidade
  • Cálculo de probabilidade
Label
Probability theory : a comprehensive course, Achim Klenke
Instantiates
Publication
Copyright
Antecedent source
unknown
Bibliography note
Includes bibliographical references and indexes
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Martingales
  • Optional Sampling Theorems
  • Martingale Convergence Theorems and Their Applications
  • Backwards Martingales and Exchangeability
  • Convergence of Measures
  • Probability Measures on Product Spaces
  • Characteristic Functions and the Central Limit Theorem
  • Infinitely Divisible Distributions
  • Markov Chains
  • Convergence of Markov Chains
  • Basic Measure Theory
  • Markov Chains and Electrical Networks
  • Ergodic Theory
  • Independence
  • Generating Functions
  • The Integral
  • Moments and Laws of Large Numbers
  • Convergence Theorems
  • L p -Spaces and the Radon-Nikodym Theorem
  • Conditional Expectations
Control code
857716711
Dimensions
unknown
Edition
Second edition.
Extent
1 online resource (xii, 638 pages)
File format
unknown
Form of item
online
Isbn
9781447153603
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-1-4471-5361-0
Other physical details
illustrations
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)857716711
Label
Probability theory : a comprehensive course, Achim Klenke
Publication
Copyright
Antecedent source
unknown
Bibliography note
Includes bibliographical references and indexes
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Martingales
  • Optional Sampling Theorems
  • Martingale Convergence Theorems and Their Applications
  • Backwards Martingales and Exchangeability
  • Convergence of Measures
  • Probability Measures on Product Spaces
  • Characteristic Functions and the Central Limit Theorem
  • Infinitely Divisible Distributions
  • Markov Chains
  • Convergence of Markov Chains
  • Basic Measure Theory
  • Markov Chains and Electrical Networks
  • Ergodic Theory
  • Independence
  • Generating Functions
  • The Integral
  • Moments and Laws of Large Numbers
  • Convergence Theorems
  • L p -Spaces and the Radon-Nikodym Theorem
  • Conditional Expectations
Control code
857716711
Dimensions
unknown
Edition
Second edition.
Extent
1 online resource (xii, 638 pages)
File format
unknown
Form of item
online
Isbn
9781447153603
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-1-4471-5361-0
Other physical details
illustrations
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)857716711

Library Locations

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      1020 Lowry Street, Columbia, MO, 65201, US
      38.944491 -92.326012
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