Open Access
December, 1972 Error Formulae for Optimal Linear Filtering, Prediction and Interpolation of Stationary Time Series
Jakov Snyders
Ann. Math. Statist. 43(6): 1935-1943 (December, 1972). DOI: 10.1214/aoms/1177690864

Abstract

Several explicit expressions are presented for the minimum mean square error in linear causal filtering, prediction and interpolation of weakly stationary discrete-time processes corrupted by additive noise. A general procedure for deriving error expressions of this kind is established.

Citation

Download Citation

Jakov Snyders. "Error Formulae for Optimal Linear Filtering, Prediction and Interpolation of Stationary Time Series." Ann. Math. Statist. 43 (6) 1935 - 1943, December, 1972. https://doi.org/10.1214/aoms/1177690864

Information

Published: December, 1972
First available in Project Euclid: 27 April 2007

zbMATH: 0255.60030
MathSciNet: MR353442
Digital Object Identifier: 10.1214/aoms/1177690864

Rights: Copyright © 1972 Institute of Mathematical Statistics

Vol.43 • No. 6 • December, 1972
Back to Top