Kniha Multivariate Statistical Analysis V.I. Serdobolskii

Multivariate Statistical Analysis

A High-Dimensional Approach

Jazyk: Angličtina
Vazba: Pevná
Vydavatel: Springer
Dostupnost: Skladem u dodavatele
Odesíláme za 10-13 dnů
2 286
This book presents a new branch of mathematical statistics aimed at constructing unimprovable method...

Informace o knize

Jazyk
Angličtina
Vazba
Kniha - Pevná
Vydáno
2000
Stránek
244
EAN
9780792366430
ISBN
0792366433
Enbook ID
01396593
Vydavatel
Hmotnost
550
Rozměry
242 x 168 x 25

Kompletní popis

This book presents a new branch of mathematical statistics aimed at constructing unimprovable methods of multivariate analysis, multi-parametric estimation, and discriminant and regression analysis. In contrast to the traditional consistent Fisher method of statistics, the essentially multivariate technique is based on the decision function approach by A. Wald. Developing this new method for high dimensions, comparable in magnitude with sample size, provides stable approximately unimprovable procedures in some wide classes, depending on an arbitrary function. A remarkable fact is established: for high-dimensional problems, under some weak restrictions on the variable dependence, the standard quality functions of regularized multivariate procedures prove to be independent of distributions. For the first time in the history of statistics, this opens the possibility to construct unimprovable procedures free from distributions. Audience: This work will be of interest to researchers and graduate students whose work involves statistics and probability, reliability and risk analysis, econometrics, machine learning, medical statistics, and various applications of multivariate analysis.

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