Accession Number : AD0780105

Title :   Least Squares and Linear Unbiased Minimum Variance Estimation in Euclidean Space and Hilbert Space.

Descriptive Note : Interim rept.,

Corporate Author : MICHIGAN UNIV ANN ARBOR DEPT OF AEROSPACE ENGINEERING

Personal Author(s) : Fiske,Philip H. ; Root,William L.

Report Date : JAN 1974

Pagination or Media Count : 53

Abstract : The estimation of an unknown vector-valued parameter in a linear model with additive noise is treated. The least-squares theory is given for the case both parameter and observation are elements of Hilbert space, and the solution is put in recursive form. A Gauss-Markov type theorem for linear unbiased minimum variance estimation is proved, again for the case both parameter and observation are elements of Hilbert space, and the solution is put in recursive form for the finite-dimensional case only. A modification of the linear unbiased minimum variance estimate which accounts for some prior information is given. (Author)

Descriptors :   *Least squares method, *Analysis of variance, *Estimates, *Hilbert space, Signal processing, Kalman filtering, Matrices(Mathematics), Theorems

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE