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References in state space notebook

Open FelixNoessler opened this issue 11 months ago • 2 comments

Hello,

thanks for creating the package. I also really like the example notebooks. I looked into the notebook: Interface to statsmodels: state space time series models and really like the idea of calculating the difference between the solution of a process-based model (like the logistic growth model) and the data and calcuate the likelihood with a local level state space model (with process and observarional error parameters). I think it is in between a full state space approach with one step ahead prediction of the process-based model and directly updating the states and more simpler aprroaches like the AR1 likelihood that you also described.

My question is: Do you know any scientific articles that use this approach of calculting the likelihood with local level state space model from the difference of the solution of a process-based model and data? Maybe, some references could be linked in the notebook? This would be highly useful for me, because I could cite these articles for justifying the approach in my paper.

Best, Felix

FelixNoessler avatar Jan 25 '25 10:01 FelixNoessler

@ben18785 's the person to ask!

MichaelClerx avatar Jan 30 '25 12:01 MichaelClerx

@FelixNoessler Good question. I don't know actually of any papers where the model is anything but a simple, non-mechanistic process model. (Could be fertile ground for a research article :) .)

ben18785 avatar Jan 30 '25 14:01 ben18785