1977
DOI: 10.1287/mnsc.23.7.768
|View full text |Cite
|
Sign up to set email alerts
|

Kalman Filtering Applied to Statistical Forecasting

Abstract: This paper describes the use of the Kalman Filter in a certain ciass of forecasting problems. The time series is assumed to be modeled as a time varying mean with additive noise. The mean of the time series is assumed to be a linear combination of known functions. The coefficients appearing in the linear combination are unknown. Under such assumptions, the time series can be described as a linear system with the state vector of the system being the unknown parameters and present value of the mean of the proces… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
3
1
1

Citation Types

0
20
0

Year Published

1983
1983
2023
2023

Publication Types

Select...
4
3
3

Relationship

0
10

Authors

Journals

citations
Cited by 53 publications
(20 citation statements)
references
References 5 publications
0
20
0
Order By: Relevance
“…Morisson and Pike (1977) also argue that in the case that the estimated coefficients do not vary over time, the Kalman filter and the least squares approach are expected to produce similar results. However in the presence of parameter instability, the Kalman filter can be proven superior to the least squares model (Morisson and Pike, 1977).…”
Section: General Issuesmentioning
confidence: 97%
“…Morisson and Pike (1977) also argue that in the case that the estimated coefficients do not vary over time, the Kalman filter and the least squares approach are expected to produce similar results. However in the presence of parameter instability, the Kalman filter can be proven superior to the least squares model (Morisson and Pike, 1977).…”
Section: General Issuesmentioning
confidence: 97%
“…has been suggested by Morrison and Pike (1977) and others (cf. Kendall (1973)) that the KF model provides an appropriate setting within which to parametrize smoothing and forecasting problems.…”
Section: Introductionmentioning
confidence: 52%
“…First, this approach is considered an ideal model for estimating regressions with variables whose impact changes over time (Slade, 1989). Second, the Kalman filter is believed to be superior to the least squares models, especially in the presence of parameter instability (Morisson and Pike, 1977). Third, this procedure can be used with non-stationarity data and it is predictive and adaptive (Inglesi-Lotz, 2011).…”
Section: Kalman Filter Estimation Strategymentioning
confidence: 99%