EAN: 9789811326158

SPRINGERBRIEFS IN STATISTICS NON-ASYMPTOTIC A...

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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