"In this chapter we consider elements of matrix algebra, knowledge of which is essential for our future work. This body of mathematics centres around the concepts of Kronecker products and vecs of a matrix. From the elements of a matrix and a matrix the Kronecker product forms a new matrix. The...

Simple theorems based on a mathematical property of vecY/vecX provide powerful tools for obtaining matrix calculus results. By way of illustration, new results are obtained for matrix derivatives involving vecA, vechA, v(A) and vecX where X is a symmetric matrix. The analysis explains exactly...

Machine generated contents note: 1 Classical Statistical Procedures -- 1.1 Introduction -- 1.2 The Score Vector, the Information Matrix, and the Cramer-Rao -- Lower Bound -- 1.3 Maximum Likelihood Estimators and Test Procedures -- 1.4 Nuisance Parameters -- 1.5 Differentiation and Asymptotics --...