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January 1, 1962Journal of the Royal Statistical Society Series B (Statistical Methodology)

A Note on a Generalized Inverse of a Matrix with Applications to Problems in Mathematical Statistics

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Authors

CRC. Radhakrishna RaoAzienda ospedaliera "Bianchi-Melacrino-Morelli"

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Implication

Note discusses generalized inverses of matrices and their applications in mathematical statistics, suggesting unified approaches.

Key Points

  • This note aims to present results on generalized inverses of matrices and their applications in mathematical statistics.
  • Defined a pseudo inverse for singular matrices.
  • Collected mathematical results on the inversion of singular and rectangular matrices.
  • Discussed applications in the context of least squares theory.
  • Provided a unified framework for handling singular normal equations.
  • Illustrated the relevance of these inverses in estimating variances and covariances.

Cite This Study

C. Radhakrishna Rao (1962) studied this question.

synapsesocial.com/papers/6a11c9e9a54a38d693fd3984https://doi.org/10.1111/j.2517-6161.1962.tb00447.x
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Also Consider

Synapse has enriched 4 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1On best approximate solutions of linear matrix equations1956 · 804 citations
  2. 2A generalized inverse for matrices1955 · 4,595 citations
  3. 3The Pseudoinverse of a Rectangular or Singular Matrix and Its Application to the Solution of Systems of Linear Equations1959 · 253 citations
  4. 4Estimation of Missing Values for the Analysis of Incomplete Data1958 · 71 citations