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The Resource Probability for statisticians, Galen R. Shorack

Probability for statisticians, Galen R. Shorack

Label
Probability for statisticians
Title
Probability for statisticians
Statement of responsibility
Galen R. Shorack
Creator
Subject
Language
eng
Summary
  • "Probability for Statisticians is intended as a text for a one year graduate course aimed especially at students in statistics. The choice of examples illustrates this intention clearly. The material to be presented in the classroom constitutes a bit more than half the text, and the choices the author makes at the University of Washington in Seattle are spelled out. The rest of the text provides background, offers different routes that could be pursued in the classroom, ad offers additional material that is appropriate for self-study. Of particular interest is a presentation of the major central limit theorems via Stein's method either prior to or alternative to a characteristic funcion presentation. Additionally, there is considerable emphasis placed on the quantile function as well as the distribution function. The bootstrap and trimming are both presented. The martingale coverage includes coverage of censored data martingales. The text includes measure theoretic preliminaries, from which the authors own course typically includes selected coverage. The author is a professor of Statistics and adjunct professor of Mathematics at the University of Washington in Seattle. He served as chair of the Department of Statistics 1986-- 1989. He received his PhD in Statistics from Stanford University. He is a fellow of the Institute of Mathematical Statistics, and is a former associate editor of the Annals of Statistics."--Back cover
  • "The choice of examples used in this text clearly illustrate its use for a one-year graduate course. The material to be presented in the classroom constitutes a little more than half the text, while the rest of the text provides background, offers different routes that could be pursued in the classroom, as well as additional material that is appropriate for self-study. Of particular interest is a presentation of the major central limit theorems via Stein 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, with both the bootstrap and trimming presented. The section on martingales covers censored data martingales."--BOOK JACKET
Member of
Cataloging source
DLC
http://library.link/vocab/creatorDate
1939-
http://library.link/vocab/creatorName
Shorack, Galen R.
Dewey number
519.2
Illustrations
illustrations
Index
index present
LC call number
QA273
LC item number
.S548 2000
Literary form
non fiction
Nature of contents
bibliography
Series statement
Springer texts in statistics
http://library.link/vocab/subjectName
Probabilities
Label
Probability for statisticians, Galen R. Shorack
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 568-574) 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. Measures -- 2. Measurable Functions and Convergence -- 3. Integration -- 4. Derivatives via Signed Measures -- 5. Measures and Processes on Products -- 6. General Topology and Hilbert Space -- 7. Distribution and Quantile Functions -- 8. Independence and Conditional Distributions -- 9. Special Distributions -- 10. WLLN, SLLN, LIL, and Series -- 11. Convergence in Distribution -- 12. Brownian Motion and Empirical Processes -- 13. Characteristic Functions -- 14. CLTs via Characteristic -- 15. Infinitely Divisible and Stable Distributions -- 16. Asymptotics via Empirical Processes -- 17. Asymptotics via Stein's Approach -- 18. Martingales -- 19. Convergence in Law on Metric Spaces
Control code
42683038
Dimensions
24 cm
Extent
xvii, 585 pages
Isbn
9780387989532
Isbn Type
(hc : acid-free paper)
Lccn
99053670
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
Label
Probability for statisticians, Galen R. Shorack
Publication
Bibliography note
Includes bibliographical references (pages 568-574) 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. Measures -- 2. Measurable Functions and Convergence -- 3. Integration -- 4. Derivatives via Signed Measures -- 5. Measures and Processes on Products -- 6. General Topology and Hilbert Space -- 7. Distribution and Quantile Functions -- 8. Independence and Conditional Distributions -- 9. Special Distributions -- 10. WLLN, SLLN, LIL, and Series -- 11. Convergence in Distribution -- 12. Brownian Motion and Empirical Processes -- 13. Characteristic Functions -- 14. CLTs via Characteristic -- 15. Infinitely Divisible and Stable Distributions -- 16. Asymptotics via Empirical Processes -- 17. Asymptotics via Stein's Approach -- 18. Martingales -- 19. Convergence in Law on Metric Spaces
Control code
42683038
Dimensions
24 cm
Extent
xvii, 585 pages
Isbn
9780387989532
Isbn Type
(hc : acid-free paper)
Lccn
99053670
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations

Library Locations

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      38.944491 -92.326012
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