東華大學圖書館 |

語系: 繁體中文

說明(常見問題)

回圖書館首頁

手機版館藏查詢

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Non-asymptotic analysis of approxima...

Fujikoshi, Yasunori.

FindBook

Google Book

Amazon

博客來

Non-asymptotic analysis of approximations for multivariate statistics

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Non-asymptotic analysis of approximations for multivariate statistics/ by Yasunori Fujikoshi, Vladimir V. Ulyanov.
作者:	Fujikoshi, Yasunori.
其他作者:	Ulyanov, Vladimir V.
出版者:	Singapore :Springer Singapore : : 2020.,
面頁冊數:	ix, 130 p. :ill., digital ;24 cm.
內容註:	1. Introduction -- 2. Correlation Coefficient -- 3. MANOVA Test Statistics -- 4. Linear and Quadratic Discriminant Functions -- 5. Bootstrap Confidence Sets -- 6. Gaussian Comparison -- 7. Cornish-Fisher Expansions -- 8 Approximations for Statistics Based on Random Sample Sizes -- 9. Power-divergence Statistics -- 10.General Approach to Construct Non-asymptotic Bounds -- 11 - Other Topics -- Index.
Contained By:	Springer eBooks
標題:	Multivariate analysis. -
電子資源:	https://doi.org/10.1007/978-981-13-2616-5
ISBN:	9789811326165

Non-asymptotic analysis of approximations for multivariate statistics
Fujikoshi, Yasunori.

Non-asymptotic analysis of approximations for multivariate statistics[electronic resource] /by Yasunori Fujikoshi, Vladimir V. Ulyanov. - Singapore :Springer Singapore :2020. - ix, 130 p. :ill., digital ;24 cm. - SpringerBriefs in statistics, JSS research series in statistics. - SpringerBriefs in statistics.JSS research series in statistics..

1. Introduction -- 2. Correlation Coefficient -- 3. MANOVA Test Statistics -- 4. Linear and Quadratic Discriminant Functions -- 5. Bootstrap Confidence Sets -- 6. Gaussian Comparison -- 7. Cornish-Fisher Expansions -- 8 Approximations for Statistics Based on Random Sample Sizes -- 9. Power-divergence Statistics -- 10.General Approach to Construct Non-asymptotic Bounds -- 11 - Other Topics -- Index.

This book presents recent non-asymptotic results for approximations in multivariate statistical analysis. The book is unique in its focus on results with the correct error structure for all the parameters involved. Firstly, it discusses the computable error bounds on correlation coefficients, MANOVA tests and discriminant functions studied in recent papers. It then introduces new areas of research in high-dimensional approximations for bootstrap procedures, Cornish-Fisher expansions, power-divergence statistics and approximations of statistics based on observations with random sample size. Lastly, it proposes a general approach for the construction of non-asymptotic bounds, providing relevant examples for several complicated statistics. It is a valuable resource for researchers with a basic understanding of multivariate statistics.

ISBN: 9789811326165

Standard No.: 10.1007/978-981-13-2616-5doiSubjects--Topical Terms:

517467
Multivariate analysis.

LC Class. No.: QA278 / .F855 2020

Dewey Class. No.: 519.535

Non-asymptotic analysis of approximations for multivariate statistics
LDR:02337nmm a2200337 a 4500 001 2221279
003 DE-He213
005 20201029134556.0
006 m d
007 cr nn 008maaau
008 201216s2020 si s 0 eng d
020 $a 9789811326165 $q (electronic bk.)
020 $a 9789811326158 $q (paper)
024 7 $a 10.1007/978-981-13-2616-5 $2 doi
035 $a 978-981-13-2616-5
040 $a GP $c GP
041 0 $a eng
050 4 $a QA278 $b .F855 2020
072 7 $a PBT $2 bicssc
072 7 $a MAT029000 $2 bisacsh
072 7 $a PBT $2 thema
082 0 4 $a 519.535 $2 23
090 $a QA278 $b .F961 2020
100 1 $a Fujikoshi, Yasunori. $3 3459405
245 1 0 $a Non-asymptotic analysis of approximations for multivariate statistics $h [electronic resource] / $c by Yasunori Fujikoshi, Vladimir V. Ulyanov.
260 $a Singapore : $c 2020. $b Springer Singapore : $b Imprint: Springer,
300 $a ix, 130 p. : $b ill., digital ; $c 24 cm.
490 1 $a SpringerBriefs in statistics, JSS research series in statistics
505 0 $a 1. Introduction -- 2. Correlation Coefficient -- 3. MANOVA Test Statistics -- 4. Linear and Quadratic Discriminant Functions -- 5. Bootstrap Confidence Sets -- 6. Gaussian Comparison -- 7. Cornish-Fisher Expansions -- 8 Approximations for Statistics Based on Random Sample Sizes -- 9. Power-divergence Statistics -- 10.General Approach to Construct Non-asymptotic Bounds -- 11 - Other Topics -- Index.
520 $a This book presents recent non-asymptotic results for approximations in multivariate statistical analysis. The book is unique in its focus on results with the correct error structure for all the parameters involved. Firstly, it discusses the computable error bounds on correlation coefficients, MANOVA tests and discriminant functions studied in recent papers. It then introduces new areas of research in high-dimensional approximations for bootstrap procedures, Cornish-Fisher expansions, power-divergence statistics and approximations of statistics based on observations with random sample size. Lastly, it proposes a general approach for the construction of non-asymptotic bounds, providing relevant examples for several complicated statistics. It is a valuable resource for researchers with a basic understanding of multivariate statistics.
650 0 $a Multivariate analysis. $3 517467
650 0 $a Approximation theory. $3 628068
650 1 4 $a Statistical Theory and Methods. $3 891074
650 2 4 $a Statistics and Computing/Statistics Programs. $3 894293
650 2 4 $a Applied Statistics. $3 3300946
700 1 $a Ulyanov, Vladimir V. $3 3459406
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a SpringerBriefs in statistics. $p JSS research series in statistics. $3 3451569
856 4 0 $u https://doi.org/10.1007/978-981-13-2616-5
950 $a Mathematics and Statistics (Springer-11649)