The discrete Kalman filter applied to linear regression models: statistical considerations and an application

Pieter W. Otter

Statistica Neerlandica, 1978, vol. 32, issue 1, 41-56

Abstract: In this paper we show how the Kalman filter, which is a recursive estimation procedure, can be applied to the standard linear regression model. The resulting “Kalman estimator” is compared with the classical least‐squares estimator. The applicability and (dis)advantages of the filter are illustrated by means of a case study which consists of two parts. In the first part we apply the filter to a regression model with constant parameters and in the second part the filter is applied to a regression model with time‐varying stochastic parameters. The prediction‐powers of various “Kalman predictors” are compared with “least‐squares predictors” by using Theil‘s prediction‐error coefficient U.

Date: 1978
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https://doi.org/10.1111/j.1467-9574.1978.tb01383.x

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