國立虎尾科技大學 |

Probability for statisticians

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Probability for statisticians/ by Galen R. Shorack.
作者:	Shorack, Galen R.
出版者:	Cham :Springer International Publishing : : 2017.,
面頁冊數:	xxii, 510 p. :ill. (some col.), digital ; : 24 cm.;
Contained By:	Springer eBooks
標題:	Probabilities. -
電子資源:	http://dx.doi.org/10.1007/978-3-319-52207-4
ISBN:	9783319522074

Probability for statisticians
Shorack, Galen R.

Probability for statisticians[electronic resource] /by Galen R. Shorack. - 2nd ed. - Cham :Springer International Publishing :2017. - xxii, 510 p. :ill. (some col.), digital ;24 cm. - Springer texts in statistics,1431-875X. - Springer texts in statistics..

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.

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.

ISBN: 9783319522074

Standard No.: 10.1007/978-3-319-52207-4doiSubjects--Topical Terms:

527847
Probabilities.

LC Class. No.: QA273

Dewey Class. No.: 519.2

Probability for statisticians
LDR:03826nam a2200337 a 4500 001 924318
003 DE-He213
005 20180327172826.0
006 m d
007 cr nn 008maaau
008 190625s2017 gw s 0 eng d
020 $a 9783319522074 $q (electronic bk.)
020 $a 9783319522067 $q (paper)
024 7 $a 10.1007/978-3-319-52207-4 $2 doi
035 $a 978-3-319-52207-4
040 $a GP $c GP
041 0 $a eng
050 4 $a QA273
072 7 $a PBT $2 bicssc
072 7 $a MAT029000 $2 bisacsh
082 0 4 $a 519.2 $2 23
090 $a QA273 $b .S559 2017
100 1 $a Shorack, Galen R. $3 1201252
245 1 0 $a Probability for statisticians $h [electronic resource] / $c by Galen R. Shorack.
250 $a 2nd ed.
260 $a Cham : $c 2017. $b Springer International Publishing : $b Imprint: Springer,
300 $a xxii, 510 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Springer texts in statistics, $x 1431-875X
505 0 $a 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.
520 $a 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.
650 0 $a Probabilities. $3 527847
650 1 4 $a Statistics. $3 556824
650 2 4 $a Statistical Theory and Methods. $3 671396
650 2 4 $a Probability Theory and Stochastic Processes. $3 593945
650 2 4 $a Measure and Integration. $3 672015
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer eBooks
830 0 $a Springer texts in statistics. $3 595279
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-52207-4
950 $a Mathematics and Statistics (Springer-11649)