The discrete Kalman filter applied to linear regression models: statistical considerations and an application
作者:
Pieter W. Otter,
期刊:
Statistica Neerlandica
(WILEY Available online 1978)
卷期:
Volume 32,
issue 1
页码: 41-56
ISSN:0039-0402
年代: 1978
DOI:10.1111/j.1467-9574.1978.tb01383.x
出版商: Blackwell Publishing Ltd
数据来源: WILEY
摘要:
AbstractIn 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 predicti
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