語系:
繁體中文
English
說明(常見問題)
登入
回首頁
切換:
標籤
|
MARC模式
|
ISBD
Uniform central limit theorems
~
Dudley, R. M.
Uniform central limit theorems
紀錄類型:
書目-語言資料,印刷品 : Monograph/item
正題名/作者:
Uniform central limit theorems/ R.M. Dudley.
作者:
Dudley, R. M.
出版者:
Cambridge :Cambridge University Press, : 2014.,
面頁冊數:
xii, 472 p. :ill., digital ; : 24 cm.;
標題:
Central limit theorem. -
電子資源:
https://doi.org/10.1017/CBO9781139014830
ISBN:
9781139014830
Uniform central limit theorems
Dudley, R. M.
Uniform central limit theorems
[electronic resource] /R.M. Dudley. - 2nd ed. - Cambridge :Cambridge University Press,2014. - xii, 472 p. :ill., digital ;24 cm. - Cambridge studies in advanced mathematics ;142. - Cambridge studies in advanced mathematics ;134..
Machine generated contents note: 1. Donsker's theorem and inequalities; 2. Gaussian processes; sample continuity; 3. Definition of Donsker classes; 4. Vapnik-Cervonenkis combinatorics; 5. Measurability; 6. Limit theorems for VC-type classes; 7. Metric entropy with bracketing; 8. Approximation of functions and sets; 9. Two samples and the bootstrap; 10. Uniform and universal limit theorems; 11. Classes too large to be Donsker; Appendix A. Differentiating under an integral sign; Appendix B. Multinomial distributions; Appendix C. Measures on nonseparable metric spaces; Appendix D. An extension of Lusin's theorem; Appendix E. Bochner and Pettis integrals; Appendix F. Non-existence of some linear forms; Appendix G. Separation of analytic sets; Appendix H. Young-Orlicz spaces; Appendix I. Versions of isonormal processes.
In this new edition of a classic work on empirical processes the author, an acknowledged expert, gives a thorough treatment of the subject with the addition of several proved theorems not included in the first edition, including the Bretagnolle-Massart theorem giving constants in the Komlos-Major-Tusnady rate of convergence for the classical empirical process, Massart's form of the Dvoretzky-Kiefer-Wolfowitz inequality with precise constant, Talagrand's generic chaining approach to boundedness of Gaussian processes, a characterization of uniform Glivenko-Cantelli classes of functions, Gine and Zinn's characterization of uniform Donsker classes, and the Bousquet-Koltchinskii-Panchenko theorem that the convex hull of a uniform Donsker class is uniform Donsker. The book will be an essential reference for mathematicians working in infinite-dimensional central limit theorems, mathematical statisticians, and computer scientists working in computer learning theory. Problems are included at the end of each chapter so the book can also be used as an advanced text.
ISBN: 9781139014830Subjects--Topical Terms:
782437
Central limit theorem.
LC Class. No.: QA273.67 / .D84 2014
Dewey Class. No.: 519.2
Uniform central limit theorems
LDR
:02762nam a2200289 a 4500
001
894015
003
UkCbUP
005
20181005134207.0
006
m d
007
cr nn 008maaau
008
181114s2014 enk s 0 eng d
020
$a
9781139014830
$q
(electronic bk.)
020
$a
9780521498845
$q
(hardback)
020
$a
9780521738415
$q
(paperback)
035
$a
CR9781139014830
040
$a
UkCbUP
$b
eng
$c
UkCbUP
$d
GP
041
0
$a
eng
050
4
$a
QA273.67
$b
.D84 2014
082
0 4
$a
519.2
$2
23
090
$a
QA273.67
$b
.D848 2014
100
1
$a
Dudley, R. M.
$3
685667
245
1 0
$a
Uniform central limit theorems
$h
[electronic resource] /
$c
R.M. Dudley.
250
$a
2nd ed.
260
$a
Cambridge :
$b
Cambridge University Press,
$c
2014.
300
$a
xii, 472 p. :
$b
ill., digital ;
$c
24 cm.
490
1
$a
Cambridge studies in advanced mathematics ;
$v
142
505
8
$a
Machine generated contents note: 1. Donsker's theorem and inequalities; 2. Gaussian processes; sample continuity; 3. Definition of Donsker classes; 4. Vapnik-Cervonenkis combinatorics; 5. Measurability; 6. Limit theorems for VC-type classes; 7. Metric entropy with bracketing; 8. Approximation of functions and sets; 9. Two samples and the bootstrap; 10. Uniform and universal limit theorems; 11. Classes too large to be Donsker; Appendix A. Differentiating under an integral sign; Appendix B. Multinomial distributions; Appendix C. Measures on nonseparable metric spaces; Appendix D. An extension of Lusin's theorem; Appendix E. Bochner and Pettis integrals; Appendix F. Non-existence of some linear forms; Appendix G. Separation of analytic sets; Appendix H. Young-Orlicz spaces; Appendix I. Versions of isonormal processes.
520
$a
In this new edition of a classic work on empirical processes the author, an acknowledged expert, gives a thorough treatment of the subject with the addition of several proved theorems not included in the first edition, including the Bretagnolle-Massart theorem giving constants in the Komlos-Major-Tusnady rate of convergence for the classical empirical process, Massart's form of the Dvoretzky-Kiefer-Wolfowitz inequality with precise constant, Talagrand's generic chaining approach to boundedness of Gaussian processes, a characterization of uniform Glivenko-Cantelli classes of functions, Gine and Zinn's characterization of uniform Donsker classes, and the Bousquet-Koltchinskii-Panchenko theorem that the convex hull of a uniform Donsker class is uniform Donsker. The book will be an essential reference for mathematicians working in infinite-dimensional central limit theorems, mathematical statisticians, and computer scientists working in computer learning theory. Problems are included at the end of each chapter so the book can also be used as an advanced text.
650
0
$a
Central limit theorem.
$3
782437
830
0
$a
Cambridge studies in advanced mathematics ;
$v
134.
$3
1133579
856
4 0
$u
https://doi.org/10.1017/CBO9781139014830
筆 0 讀者評論
多媒體
評論
新增評論
分享你的心得
Export
取書館別
處理中
...
變更密碼[密碼必須為2種組合(英文和數字)及長度為10碼以上]
登入