Statistical Analysis of Observations of Increasing Dimension is devoted to the investigation of the limit distribution of the empirical generalized variance, covariance matrices, their eigenvalues and solutions of the system of linear algebraic equations with random coefficients, which are an import...

Full description

Bibliographic Details

Main Author:	Girko, V.L (Author)
Format:	Electronic eBook
Language:	English
Published:	Dordrecht Springer Netherlands 1995
Edition:	1st ed. 1995
Series:	Theory and Decision Library B, Mathematical and Statistical Methods 28
Subjects:	Statistical Theory and Methods Probability Theory and Stochastic Processes Linear and Multilinear Algebras, Matrix Theory Statistics  Probabilities Matrix theory Algebra
Online Access:	BTU01 Volltext
Summary:	Statistical Analysis of Observations of Increasing Dimension is devoted to the investigation of the limit distribution of the empirical generalized variance, covariance matrices, their eigenvalues and solutions of the system of linear algebraic equations with random coefficients, which are an important function of observations in multidimensional statistical analysis. A general statistical analysis is developed in which observed random vectors may not have density and their components have an arbitrary dependence structure. The methods of this theory have very important advantages in comparison with existing methods of statistical processing. The results have applications in nuclear and statistical physics, multivariate statistical analysis in the theory of the stability of solutions of stochastic differential equations, in control theory of linear stochastic systems, in linear stochastic programming, in the theory of experiment planning
Physical Description:	1 Online-Ressource (XXI, 290 p)
ISBN:	9789401585675
DOI:	10.1007/978-94-015-8567-5