Chapter

Modern Multivariate Statistical Techniques

Part of the series Springer Texts in Statistics pp 45-74

Random Vectors and Matrices

  • Alan Julian IzenmanAffiliated withDepartment of Statistics, Temple University

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Abstract

This chapter builds the foundation for the statistical analysis of multivariate data. We first give the notation we use in this book, followed by a quick review of the rules for manipulating vectors and matrices. Then, we learn about random vectors and matrices, which are the fundamental building blocks for multivariate analysis. We then describe the properties of a variety of estimators of an unknown mean vector and unknown covariance matrix of a multivariate Gaussian distribution.