Non-Asymptotic Analysis of Approximations for Multivariate Statistics

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...

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Bibliographic Details
Main Authors: Fujikoshi, Yasunori, Ulyanov, Vladimir V. (Author)
Format: eBook
Language:English
Published: Singapore Springer Nature Singapore 2020, 2020
Edition:1st ed. 2020
Series:JSS Research Series in Statistics
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • 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