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Non-Asymptotic Analysis of Approximations for Multivariate Statistics (JSS Research Series in Statistics) - Softcover

 
9789811326158: Non-Asymptotic Analysis of Approximations for Multivariate Statistics (JSS Research Series in Statistics)

Synopsis

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.

 

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About the Author

Yasunori Fujikoshi, Hiroshima University
Vladimir  V. Ulyanov, Moscow State University

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  • PublisherSpringer
  • Publication date2020
  • ISBN 10 9811326150
  • ISBN 13 9789811326158
  • BindingPaperback
  • LanguageEnglish
  • Edition number1
  • Number of pages139

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Taschenbuch. Condition: Neu. Neuware -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. 130 pp. Englisch. Seller Inventory # 9789811326158

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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Seller Inventory # 9789811326158

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Kartoniert / Broschiert. Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Is the first book on non-asymptotic approximations and computable error bounds in multivariate analysisFocuses on the errors in high-dimensional approximations as well as large sample approximations for classical and modern mult. Seller Inventory # 238283411

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