The Resource Probability for statisticians, by Galen R. Shorack, (electronic resource)
Probability for statisticians, by Galen R. Shorack, (electronic resource)
Resource Information
The item Probability for statisticians, by Galen R. Shorack, (electronic resource) 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 Probability for statisticians, by Galen R. Shorack, (electronic resource) 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
 This 2nd edition textbook offers a rigorous introduction to measure theoretic probability with particular attention to topics of interest to mathematical statisticians—a textbook for courses in probability for students in mathematical statistics. It is recommended to anyone interested in the probability underlying modern statistics, providing a solid grounding in the probabilistic tools and techniques necessary to do theoretical research in statistics. For the teaching of probability theory to post graduate statistics students, this is one of the most attractive books available. Of particular interest is a presentation of the major central limit theorems via Stein's method either prior to or alternative to a characteristic function presentation. Additionally, there is considerable emphasis placed on the quantile function as well as the distribution function. The bootstrap and trimming are both presented. Martingale coverage includes coverage of censored data martingales. The text includes measure theoretic preliminaries, from which the authors own course typically includes selected coverage. This is a heavily reworked and considerably shortened version of the first edition of this textbook. "Extra" and background material has been either removed or moved to the appendices and important rearrangement of chapters has taken place to facilitate this book's intended use as a textbook. New to this edition: Still up front and central in the book, Chapters 15 provide the "measure theory" necessary for the rest of the textbook and Chapters 67 adapt that measuretheoretic background to the special needs of probability theory Develops both mathematical tools and specialized probabilistic tools Chapters organized by number of lectures to cover requisite topics, optional lectures, and selfstudy Exercises interspersed within the text Guidance provided to instructors to help in choosing topics of emphasis.
 Language
 eng
 Edition
 2nd edition, 2017.
 Extent
 1 online resource (XXII, 510 pages)
 Contents

 Preface
 Use of This Text
 Definition of Symbols
 Chapter 1. Measures
 Chapter 2. Measurable Functions and Convergence
 Chapter 3. Integration
 Chapter 4 Derivatives via Signed Measures
 Chapter 5. Measures and Processes on Products
 Chapter 6. Distribution and Quantile Functions
 Chapter 7. Independence and Conditional Distributions
 Chapter 8. WLLN, SLLN, LIL, and Series
 Chapter 9. Characteristic Functions and Determining Classes
 Chapter 10. CLTs via Characteristic Functions
 Chapter 11. Infinitely Divisible and Stable Distributions
 Chapter 12. Brownian Motion and Empirical Processes
 Chapter 13. Martingales
 Chapter 14. Convergence in Law on Metric Spaces
 Chapter 15. Asymptotics Via Empirical Processes
 Appendix A. Special Distributions
 Appendix B. General Topology and Hilbert Space
 Appendix C. More WLLN and CLT
 References
 Index
 Isbn
 9783319522074
 Label
 Probability for statisticians
 Title
 Probability for statisticians
 Statement of responsibility
 by Galen R. Shorack
 Language
 eng
 Summary
 This 2nd edition textbook offers a rigorous introduction to measure theoretic probability with particular attention to topics of interest to mathematical statisticians—a textbook for courses in probability for students in mathematical statistics. It is recommended to anyone interested in the probability underlying modern statistics, providing a solid grounding in the probabilistic tools and techniques necessary to do theoretical research in statistics. For the teaching of probability theory to post graduate statistics students, this is one of the most attractive books available. Of particular interest is a presentation of the major central limit theorems via Stein's method either prior to or alternative to a characteristic function presentation. Additionally, there is considerable emphasis placed on the quantile function as well as the distribution function. The bootstrap and trimming are both presented. Martingale coverage includes coverage of censored data martingales. The text includes measure theoretic preliminaries, from which the authors own course typically includes selected coverage. This is a heavily reworked and considerably shortened version of the first edition of this textbook. "Extra" and background material has been either removed or moved to the appendices and important rearrangement of chapters has taken place to facilitate this book's intended use as a textbook. New to this edition: Still up front and central in the book, Chapters 15 provide the "measure theory" necessary for the rest of the textbook and Chapters 67 adapt that measuretheoretic background to the special needs of probability theory Develops both mathematical tools and specialized probabilistic tools Chapters organized by number of lectures to cover requisite topics, optional lectures, and selfstudy Exercises interspersed within the text Guidance provided to instructors to help in choosing topics of emphasis.
 Assigning source
 Provided by publisher
 http://library.link/vocab/creatorDate
 1939
 http://library.link/vocab/creatorName
 Shorack, Galen R.
 Image bit depth
 0
 Literary form
 non fiction
 Nature of contents
 dictionaries
 Series statement

 Springer eBooks
 Springer Texts in Statistics
 http://library.link/vocab/subjectName

 Statistics
 Measure theory
 Probabilities
 Label
 Probability for statisticians, by Galen R. Shorack, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Preface  Use of This Text  Definition of Symbols  Chapter 1. Measures  Chapter 2. Measurable Functions and Convergence  Chapter 3. Integration  Chapter 4 Derivatives via Signed Measures  Chapter 5. Measures and Processes on Products  Chapter 6. Distribution and Quantile Functions  Chapter 7. Independence and Conditional Distributions  Chapter 8. WLLN, SLLN, LIL, and Series  Chapter 9. Characteristic Functions and Determining Classes  Chapter 10. CLTs via Characteristic Functions  Chapter 11. Infinitely Divisible and Stable Distributions  Chapter 12. Brownian Motion and Empirical Processes  Chapter 13. Martingales  Chapter 14. Convergence in Law on Metric Spaces  Chapter 15. Asymptotics Via Empirical Processes  Appendix A. Special Distributions  Appendix B. General Topology and Hilbert Space  Appendix C. More WLLN and CLT  References  Index
 Control code
 9783319522074
 Dimensions
 unknown
 Edition
 2nd edition, 2017.
 Extent
 1 online resource (XXII, 510 pages)
 File format
 multiple file formats
 Form of item

 online
 electronic
 Governing access note
 Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, noncommercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
 Isbn
 9783319522074
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9783319522074
 Other physical details
 19 illustrations, 15 illustrations in color.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)1005133263
 Label
 Probability for statisticians, by Galen R. Shorack, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Preface  Use of This Text  Definition of Symbols  Chapter 1. Measures  Chapter 2. Measurable Functions and Convergence  Chapter 3. Integration  Chapter 4 Derivatives via Signed Measures  Chapter 5. Measures and Processes on Products  Chapter 6. Distribution and Quantile Functions  Chapter 7. Independence and Conditional Distributions  Chapter 8. WLLN, SLLN, LIL, and Series  Chapter 9. Characteristic Functions and Determining Classes  Chapter 10. CLTs via Characteristic Functions  Chapter 11. Infinitely Divisible and Stable Distributions  Chapter 12. Brownian Motion and Empirical Processes  Chapter 13. Martingales  Chapter 14. Convergence in Law on Metric Spaces  Chapter 15. Asymptotics Via Empirical Processes  Appendix A. Special Distributions  Appendix B. General Topology and Hilbert Space  Appendix C. More WLLN and CLT  References  Index
 Control code
 9783319522074
 Dimensions
 unknown
 Edition
 2nd edition, 2017.
 Extent
 1 online resource (XXII, 510 pages)
 File format
 multiple file formats
 Form of item

 online
 electronic
 Governing access note
 Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, noncommercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
 Isbn
 9783319522074
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9783319522074
 Other physical details
 19 illustrations, 15 illustrations in color.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)1005133263
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