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Probability for Statisticians

BuchKartoniert, Paperback
510 Seiten
Englisch
Springererschienen am03.10.20172. Aufl.
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.mehr
Verfügbare Formate
BuchKartoniert, Paperback
EUR160,49
E-BookPDF1 - PDF WatermarkE-Book
EUR149,79

Produkt

KlappentextThis 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.
Details
ISBN/GTIN978-3-319-52206-7
ProduktartBuch
EinbandartKartoniert, Paperback
Verlag
Erscheinungsjahr2017
Erscheinungsdatum03.10.2017
Auflage2. Aufl.
ReiheSpringer Texts in Statistics
Seiten510 Seiten
SpracheEnglisch
Gewicht1006 g
IllustrationenXXII, 510 p. 19 illus., 15 illus. in color.
Artikel-Nr.41774131

Inhalt/Kritik

Inhaltsverzeichnis
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.mehr
Kritik
"It discusses measure theoretic probability from the viewpoint of what a theoretical statistician needs to know, and includes many details that an applied statistician may need to look up on occasion. Reading it frequently feels like you are sitting next to the author, with him pointing out the important parts, and suggesting how to think about things. I enjoyed that aspect very much, and it helps to solidify the readers understanding." (Peter Rabinovitch, MAA Reviews, January, 2018)mehr

Schlagworte

Autor

Galen Shorack, PhD, is Professor Emeritus in the Department of Statistics (of which he was a founding member) and Adjunct Professor in the Department of Mathematics at the University of Washington, Seattle. He received his Bachelor of Science and Master of Science degrees in Mathematics from the University of Oregon and his PhD in Statistics from Stanford University. Dr. Shorack's research interests include limit theorems in statistics, the theory of empirical processes, trimming-Winsorizing, and regular variation. He has served as Associate Editor of the Annals of Mathematical Statistics (Annals of Statistics) and is Fellow of the Institute of Mathematical Statistics.
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Shorack, Galen