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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
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The item 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 represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.This item is available to borrow from all library branches.
Resource Information
The item 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 represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.
This item is available to borrow from all library branches.
 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 twoterm course or for selfstudy. 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 'takeoff point' for them as they specialize in areas that exploit mathematical machinery"
 Language
 eng
 Extent
 xiv, 360 pages
 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, Lpspaces
 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
 Isbn
 9781107652521
 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
 Subject

 Measure theory
 Probabilities
 Lehrnbuch
 Probabilities
 Wahrscheinlichkeitsrechnung
 MATHEMATICS  Probability & Statistics  General
 Measure theory
 Wahrscheinlichkeitstheorie
 Probabilities
 Measure theory
 Maßtheorie
 Wahrscheinlichkeitsrechnung
 Wahrscheinlichkeitstheorie
 Probabilities
 Measure theory
 Maßtheorie
 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 twoterm course or for selfstudy. 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 'takeoff 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
 19431995
 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
 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, Lpspaces  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
 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, Lpspaces  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
Subject
 Lehrnbuch
 MATHEMATICS  Probability & Statistics  General
 Maßtheorie
 Maßtheorie
 Measure theory
 Measure theory
 Measure theory
 Measure theory
 Probabilities
 Probabilities
 Probabilities
 Probabilities
 Wahrscheinlichkeitsrechnung
 Wahrscheinlichkeitsrechnung
 Wahrscheinlichkeitstheorie
 Wahrscheinlichkeitstheorie
Genre
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