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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.
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.
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.
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
Includes supplementary material: [...]
| Erscheinungsjahr: | 2017 |
|---|---|
| Fachbereich: | Wahrscheinlichkeitstheorie |
| Genre: | Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Seiten: | 532 |
| Reihe: | Springer Texts in Statistics |
| Inhalt: |
xxii
510 S. 4 s/w Illustr. 15 farbige Illustr. 510 p. 19 illus. 15 illus. in color. |
| ISBN-13: | 9783319522067 |
| ISBN-10: | 331952206X |
| Sprache: | Englisch |
| Ausstattung / Beilage: | Paperback |
| Einband: | Kartoniert / Broschiert |
| Autor: | Shorack, Galen R. |
| Auflage: | 2nd ed. 2017 |
| Hersteller: |
Springer International Publishing
Springer International Publishing AG Springer Texts in Statistics |
| Maße: | 254 x 178 x 29 mm |
| Von/Mit: | Galen R. Shorack |
| Erscheinungsdatum: | 03.10.2017 |
| Gewicht: | 0,989 kg |
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.
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
Includes supplementary material: [...]
| Erscheinungsjahr: | 2017 |
|---|---|
| Fachbereich: | Wahrscheinlichkeitstheorie |
| Genre: | Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Seiten: | 532 |
| Reihe: | Springer Texts in Statistics |
| Inhalt: |
xxii
510 S. 4 s/w Illustr. 15 farbige Illustr. 510 p. 19 illus. 15 illus. in color. |
| ISBN-13: | 9783319522067 |
| ISBN-10: | 331952206X |
| Sprache: | Englisch |
| Ausstattung / Beilage: | Paperback |
| Einband: | Kartoniert / Broschiert |
| Autor: | Shorack, Galen R. |
| Auflage: | 2nd ed. 2017 |
| Hersteller: |
Springer International Publishing
Springer International Publishing AG Springer Texts in Statistics |
| Maße: | 254 x 178 x 29 mm |
| Von/Mit: | Galen R. Shorack |
| Erscheinungsdatum: | 03.10.2017 |
| Gewicht: | 0,989 kg |
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