The Resource A basic course in measure and probability : theory for applications, Ross Leadbetter, Stamatis Cambanis, Vladas Pipiras
A basic course in measure and probability : theory for applications, Ross Leadbetter, Stamatis Cambanis, Vladas Pipiras
Resource Information
The item A basic course in measure and probability : theory for applications, Ross Leadbetter, Stamatis Cambanis, Vladas Pipiras represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.This item is available to borrow from 1 library branch.
Resource Information
The item A basic course in measure and probability : theory for applications, Ross Leadbetter, Stamatis Cambanis, Vladas Pipiras represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.
This item is available to borrow from 1 library branch.
 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

 Preface; Acknowledgements; 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; References; Index
 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, Stamatis Cambanis, Vladas Pipiras
 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
 CDX
 http://library.link/vocab/creatorName
 Leadbetter, M. R
 Index
 no index present
 Literary form
 non fiction
 http://library.link/vocab/relatedWorkOrContributorDate
 19431995
 http://library.link/vocab/relatedWorkOrContributorName

 Cambanis, Stamatis
 Pipiras, Vladas
 http://library.link/vocab/subjectName

 Measure theory
 Probabilities
 Label
 A basic course in measure and probability : theory for applications, Ross Leadbetter, Stamatis Cambanis, Vladas Pipiras
 Carrier category
 volume
 Carrier category code

 nc
 Carrier MARC source
 rdacarrier.
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent.
 Contents
 Preface; Acknowledgements; 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; References; Index
 Control code
 FIEb17548068
 Dimensions
 24 cm.
 Extent
 xiv, 360 pages
 Isbn
 9781107652521
 Media category
 unmediated
 Media MARC source
 rdamedia.
 Media type code

 n
 System control number
 (OCoLC)880967785
 Label
 A basic course in measure and probability : theory for applications, Ross Leadbetter, Stamatis Cambanis, Vladas Pipiras
 Carrier category
 volume
 Carrier category code

 nc
 Carrier MARC source
 rdacarrier.
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent.
 Contents
 Preface; Acknowledgements; 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; References; Index
 Control code
 FIEb17548068
 Dimensions
 24 cm.
 Extent
 xiv, 360 pages
 Isbn
 9781107652521
 Media category
 unmediated
 Media MARC source
 rdamedia.
 Media type code

 n
 System control number
 (OCoLC)880967785
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.eui.eu/portal/Abasiccourseinmeasureandprobability/Q6xc9ZLGkQ/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.eui.eu/portal/Abasiccourseinmeasureandprobability/Q6xc9ZLGkQ/">A basic course in measure and probability : theory for applications, Ross Leadbetter, Stamatis Cambanis, Vladas Pipiras</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.eui.eu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.eui.eu/">European University Institute</a></span></span></span></span></div>