Deriving Kalman Filter - An Easy Algorithm

Authors

  • Amaresh Das

, state-space forecasting

Abstract

The Kalman filter may be easily understood by the econometricians, and forecasters if it is cast as a problem in Bayesian inference and if along the way some well-known results in multivariate statistics are employed. The aim is to motivate the readers by providing an exposition of the key notions of the predictive tool and by laying its derivation in a few easy steps. The paper does not deal with many other ad hoc techniques used in adaptive Kalman filtering.

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How to Cite

Deriving Kalman Filter - An Easy Algorithm. (2017). Global Journal of Science Frontier Research, 17(F3), 1-6. https://www.journalofscience.org/index.php/GJSFR/article/view/2021

References

G E P Box, G M Jenkins (1970) Time Series Analysis, Forecasting and Control.

C Chui, G Chen (1990) Kalman Filtering with Real-Time Applications.

Arnaud Doucet, Simon Godsill, Christophe Andrieu (2000) On sequential Monte Carlo sampling methods for Bayesian filtering. 10(3), 197-208.

D B Duncan, S Horn (1972) Linear Dynamic Recursive Estimation from the Viewpoint of Regression Analysis. 67(340), 815-821.

P Harrison, C Stevens (1971) A Bayesian Approach to Short-Term Forecasting. 22(4), 341.

A Grossmann, J Morlet (1984) Decomposition of Hardy Functions into Square Integrable Wavelets of Constant Shape. 15(4), 723-736.

F Johnson, P Harrison (1980) An Application of Forecasting in the Alcoholic Drinks Industry. 31, 699-709.

R Kalmam, S Bucyr (1961) New Results in Linear Filtering and Predictions. 83, 95-108.

R Mehra (1979) North-Holland-TIMS Studies in the Management Sciences. 23(2), 218-220.

Mein, N Singpurwalla (1983) Understanding the Kalman Filter. 37(2).

Simo Sarakka (2013) Bayesian Filtering and Smoothing.

Deriving Kalman Filter - An Easy Algorithm

Published

2017-05-30

How to Cite

Deriving Kalman Filter - An Easy Algorithm. (2017). Global Journal of Science Frontier Research, 17(F3), 1-6. https://www.journalofscience.org/index.php/GJSFR/article/view/2021