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010   $a981-13-2616-9
024 7 $a10.1007/978-981-13-2616-5
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035   $a(DE-He213)978-981-13-2616-5
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100   $a20200628d2020      u|         0
101 0 $aeng
135   $aurcnu||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aNon-Asymptotic Analysis of Approximations for Multivariate Statistics /$fby Yasunori Fujikoshi, Vladimir V. Ulyanov
205   $a1st ed. 2020.
210  1$aSingapore :$cSpringer Nature Singapore :$cImprint: Springer,$d2020.
215   $a1 online resource (133 pages)
225 1 $aJSS Research Series in Statistics,$x2364-0065
311 08$a981-13-2615-0 
320   $aIncludes bibliographical references.
327   $a1. 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.
330   $aThis book presents recent non-asymptotic results for approximations in multivariate statistical analysis. The book is unique in its focus on results with the correct error structure for all the parameters involved. Firstly, it discusses the computable error bounds on correlation coefficients, MANOVA tests and discriminant functions studied in recent papers. It then introduces new areas of research in high-dimensional approximations for bootstrap procedures, Cornish?Fisher expansions, power-divergence statistics and approximations of statistics based on observations with random sample size. Lastly, it proposes a general approach for the construction of non-asymptotic bounds, providing relevant examples for several complicated statistics. It is a valuable resource for researchers with a basic understanding of multivariate statistics. .
410  0$aJSS Research Series in Statistics,$x2364-0065
606   $aStatistics
606   $aMathematical statistics$xData processing
606   $aStatistics
606   $aStatistical Theory and Methods
606   $aStatistics and Computing
606   $aApplied Statistics
615  0$aStatistics.
615  0$aMathematical statistics$xData processing.
615  0$aStatistics.
615 14$aStatistical Theory and Methods.
615 24$aStatistics and Computing.
615 24$aApplied Statistics.
676   $a519.535
700   $aFujikoshi$b Yasunori$4aut$4http://id.loc.gov/vocabulary/relators/aut$0618912
702   $aUlyanov$b Vladimir V$4aut$4http://id.loc.gov/vocabulary/relators/aut
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910483118903321
996   $aNon-Asymptotic Analysis of Approximations for Multivariate Statistics$92351475
997   $aUNINA