Accession Number : AD0726692

Title :   The Penrose Moore Pseudo Inverse with Statistical Applications. Part II. Statistical Applications.

Descriptive Note : Technical rept.,

Corporate Author : STANFORD UNIV CALIF DEPT OF STATISTICS

Personal Author(s) : Albert,Arthur

Report Date : 15 JUN 1971

Pagination or Media Count : 140

Abstract : The Penrose-Moore Pseudo Inverse extends the notion of 'inverse' for square nonsingular matrices to the class of all rectangular matrices. In these reports the author develops the essential properties with applications to the theory of equations, constrained and unconstrained least squares, nonnegative definiteness, perturbation theory and the singular decomposition theorem. Various computational algorithms are developed and additional results are derived which apply to various statistical topics, such as the General Linear Hypothesis (BLUE'S, Orthogonal Designs, tests and confidence sets) Conditional Expectations for vector normal variables and Kalman Filtering. (Author)

Descriptors :   (*STATISTICAL ANALYSIS, *MATRICES(MATHEMATICS)), ANALYSIS OF VARIANCE, REGRESSION ANALYSIS, STOCHASTIC PROCESSES, LEAST SQUARES METHOD, RANDOM VARIABLES, THEOREMS

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE