A note on a generalized inverse of a matrix with applications to problems in mathematical statistics

Radhakrishna Rao, C. (1962) A note on a generalized inverse of a matrix with applications to problems in mathematical statistics Journal of the Royal Statistical Society - Series B: Statistical Methodology, 24 (1). pp. 152-158. ISSN 1369-7412

Full text not available from this repository.

Official URL: http://www.jstor.org/stable/2983755

Abstract

Some years ago the author defined a pseudo inverse of a singular matrix and used it in representing a solution of normal equations and for obtaining variances and covariances of estimates in the theory of least squares (Rao, 1955). This provided a unified approach to least squares theory, including the case when the normal equations become singular. This note attempts to collect a few mathematical results, some of which are known in literature, associated with the inversion of singular and rectangular matrices, and to indicate briefly their use in problems of mathematical statistics.

Item Type:Article
Source:Copyright of this article belongs to John Wiley and Sons.
ID Code:54758
Deposited On:12 Aug 2011 12:58
Last Modified:12 Aug 2011 12:58

Repository Staff Only: item control page