After a lot of research on Kalman filter I can't find anywhere how exactly the filter works on timeseries.Specifically, I want to know about fοrecasting with Kalman filter on Timeseries, point estimation and forecast intervals or a simple example.If my question sounds general, it would be nice if someone tells me where to search about this topic. Sorry for my bad english
2025-01-13 00:10:50.1736727050
Kalman filter on Timeseries
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For time series use the discrete Kalman filter as described the chapter 4.1. here.
I guess the point is how to formulate a given problem as a Kalman problem which means achieving the following formulation out of the initial formulation of the problem:
I learned this problem reformulating challenge, especially when developing my answer here.
The solution itself is IMHO well documented in the references. It’s executing or implementing the following algorithm: