Non-Asymptotic Analysis of Approximations for Multivariate Statistics

Download or read book Non-Asymptotic Analysis of Approximations for Multivariate Statistics written by Yasunori Fujikoshi and published by Springer Nature. This book was released on 2020-06-28 with total page 133 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.