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Catalogue Information
Field name	Details
Dewey Class	519.5
Title	Non-Asymptotic Analysis of Approximations for Multivariate Statistics ([EBook]) / by Yasunori Fujikoshi, Vladimir V. Ulyanov.
Author	Fujikoshi, Yasunori
Added Personal Name	Ulyanov, Vladimir V.
Other name(s)	SpringerLink (Online service)
Edition statement	1st ed. 2020.
Publication	Singapore : Springer Singapore , 2020.
Physical Details	IX, 130 pages: 16 illus. : online resource.
Series	JSS Research Series in Statistics 2364-0057
ISBN	9789811326165
Summary Note	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. .:
Contents note	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.
Mode of acces to digital resource	Digital book. Cham Springer Nature 2020. - Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	https://doi.org/10.1007/978-981-13-2616-5
Links to Related Works	Subject References: Applied Statistics . Statistical Theory and Methods . Statistics . Statistics and Computing/Statistics Programs . Authors: author . Fujikoshi, Yasunori . Ulyanov, Vladimir V. . Corporate Authors: SpringerLink (Online service) . Series: JSS Research Series in Statistics . Classification: 519.5 .

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Non-Asymptotic Analysis of Approximations for Multivariate Statistics

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