Hi,

I'm doing a research on a variation of Recursive Bayesian Estimation- it's a Bayesian estimation with a 'time smoothing' term:

My question is not regarding the math itself, but regarding its context:

This recursive relationdoes notwork well as an estimator, but it does display some interesting behavior (clustering, bifurcations as function of sigma and eta)

Can anyone suggest a field or a case where this recursive relation is/could be manifested? maybe a natural or an artificial system where a recursive bayesian estimation is applied, but the system fails to completely "forget" its previous state, and therefor a time-smoothing term is present.

Thank you