Title :
The effect of uncertainties in the noise covariance matrices on the maximum likelihood estimate of a vector
Author :
Nash, Raymond A., Jr. ; Tuteur, Franz B.
Author_Institution :
Dynamics Research Corporation, Stoneham, MA, USA
fDate :
2/1/1968 12:00:00 AM
Abstract :
The maximum likelihood estimate of a vector, given noisy observations of linear combinations of the vector´s components, is a function of the covariance matrices of the noise. Often the matrices are not exactly known, and consequently the maximum likelihood estimate will be in error. An algorithm is developed for computing the covariances of the errors in the maximum likelihood estimate due to uncertainties in the noise covariance matrices. It is assumed that the uncertainties are small and can be described statistically.
Keywords :
Covariance matrices; Vector analysis; maximum-likelihood (ML) estimation; Couplings; Covariance matrix; Maximum likelihood estimation; Noise measurement; Nonlinear equations; Particle measurements; Random variables; Symmetric matrices; Uncertainty; Vectors;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1968.1098799
