Coverart for item
The Resource Probability for statisticians, by Galen R. Shorack, (electronic resource)

Probability for statisticians, by Galen R. Shorack, (electronic resource)

Label
Probability for statisticians
Title
Probability for statisticians
Statement of responsibility
by Galen R. Shorack
Creator
Subject
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 1-5 provide the "measure theory" necessary for the rest of the textbook and Chapters 6-7 adapt that measure-theoretic 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 self-study Exercises interspersed within the text Guidance provided to instructors to help in choosing topics of emphasis.--
Member of
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)
Link
https://eui.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-3-319-52207-4
Instantiates
Publication
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
978-3-319-52207-4
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, non-commercial 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
10.1007/978-3-319-52207-4
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)
Link
https://eui.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-3-319-52207-4
Publication
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
978-3-319-52207-4
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, non-commercial 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
10.1007/978-3-319-52207-4
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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