Coverart for item
The Resource A basic course in measure and probability : theory for applications, Ross Leadbetter, University of North Carolina, Chapel Hill, Stamatis Cambanis, University of North Carolina, Chapel Hill, Vladas Pipiras, University of North Carolina, Chapel Hill

A basic course in measure and probability : theory for applications, Ross Leadbetter, University of North Carolina, Chapel Hill, Stamatis Cambanis, University of North Carolina, Chapel Hill, Vladas Pipiras, University of North Carolina, Chapel Hill

Label
A basic course in measure and probability : theory for applications
Title
A basic course in measure and probability
Title remainder
theory for applications
Statement of responsibility
Ross Leadbetter, University of North Carolina, Chapel Hill, Stamatis Cambanis, University of North Carolina, Chapel Hill, Vladas Pipiras, University of North Carolina, Chapel Hill
Creator
Contributor
Author
Subject
Genre
Language
eng
Summary
"Originating from the authors' own graduate course at the University of North Carolina, this material has been thoroughly tried and tested over many years, making the book perfect for a two-term course or for self-study. It provides a concise introduction that covers all of the measure theory and probability most useful for statisticians, including Lebesgue integration, limit theorems in probability, martingales, and some theory of stochastic processes. Readers can test their understanding of the material through the 300 exercises provided. The book is especially useful for graduate students in statistics and related fields of application (biostatistics, econometrics, finance, meteorology, machine learning, and so on) who want to shore up their mathematical foundation. The authors establish common ground for students of varied interests which will serve as a firm 'take-off point' for them as they specialize in areas that exploit mathematical machinery"--
Assigning source
Provided by publisher
Cataloging source
DLC
http://library.link/vocab/creatorName
Leadbetter, M. R
Illustrations
illustrations
Index
index present
LC call number
QC20.7.M43
LC item number
L43 2014
Literary form
non fiction
Nature of contents
bibliography
NLM call number
QC 20.7 .M43 L434b 2014
http://library.link/vocab/relatedWorkOrContributorDate
1943-1995
http://library.link/vocab/relatedWorkOrContributorName
  • Cambanis, Stamatis
  • Pipiras, Vladas
http://library.link/vocab/subjectName
  • Measure theory
  • Probabilities
  • MATHEMATICS
  • Measure theory
  • Probabilities
  • Maßtheorie
  • Wahrscheinlichkeitsrechnung
  • Wahrscheinlichkeitstheorie
Label
A basic course in measure and probability : theory for applications, Ross Leadbetter, University of North Carolina, Chapel Hill, Stamatis Cambanis, University of North Carolina, Chapel Hill, Vladas Pipiras, University of North Carolina, Chapel Hill
Instantiates
Publication
Bibliography note
Includes bibliographical references (page 356) and index
Carrier category
volume
Carrier category code
nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
1. Point sets and certain classes of sets -- 2. Measures: general properties and extension -- 3. Measurable functions and transformations -- 4. The integral -- 5. Absolute continuity and related topics -- 6. Convergence of measurable functions, Lp-spaces -- 7. Product spaces -- 8. Integrating complex functions, Fourier theory and related topics -- 9. Foundations of probability -- 10. Independence -- 11. Convergence and related topics -- 12. Characteristic functions and central limit theorems -- 13. Conditioning -- 14. Martingales -- 15. Basic structure of stochastic processes
Dimensions
24 cm
Extent
xiv, 360 pages
Isbn
9781107652521
Lccn
##2013028841
Media category
unmediated
Media MARC source
rdamedia
Media type code
n
Other physical details
illustrations
System control number
  • (OCoLC)854541699
  • (OCoLC)ocn854541699
Label
A basic course in measure and probability : theory for applications, Ross Leadbetter, University of North Carolina, Chapel Hill, Stamatis Cambanis, University of North Carolina, Chapel Hill, Vladas Pipiras, University of North Carolina, Chapel Hill
Publication
Bibliography note
Includes bibliographical references (page 356) and index
Carrier category
volume
Carrier category code
nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
1. Point sets and certain classes of sets -- 2. Measures: general properties and extension -- 3. Measurable functions and transformations -- 4. The integral -- 5. Absolute continuity and related topics -- 6. Convergence of measurable functions, Lp-spaces -- 7. Product spaces -- 8. Integrating complex functions, Fourier theory and related topics -- 9. Foundations of probability -- 10. Independence -- 11. Convergence and related topics -- 12. Characteristic functions and central limit theorems -- 13. Conditioning -- 14. Martingales -- 15. Basic structure of stochastic processes
Dimensions
24 cm
Extent
xiv, 360 pages
Isbn
9781107652521
Lccn
##2013028841
Media category
unmediated
Media MARC source
rdamedia
Media type code
n
Other physical details
illustrations
System control number
  • (OCoLC)854541699
  • (OCoLC)ocn854541699

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