# Prediction processes

Some kind of weird time series formalism

April 9, 2021 — April 9, 2021

dynamical systems

energy

mind

probability

statistics

statmech

Placeholder. I don’t really know, but Cosma Shalizi has opinions on unifying some interesting ideas in this area using chains with complete connections. Maybe related (?) predictive processing as a model of the mind.

## 1 References

Blasques, Koopman, and Lucas. 2015. “Information-Theoretic Optimality of Observation-Driven Time Series Models for Continuous Responses.”

*Biometrika*.
Cox, Gudmundsson, Lindgren, et al. 1981. “Statistical Analysis of Time Series: Some Recent Developments [with Discussion and Reply].”

*Scandinavian Journal of Statistics*.
Davis, and Liu. 2012. “Theory and Inference for a Class of Observation-Driven Models with Application to Time Series of Counts.”

*arXiv:1204.3915 [Math, Stat]*.
Douc, Roueff, and Sim. 2015. “Handy Sufficient Conditions for the Convergence of the Maximum Likelihood Estimator in Observation-Driven Models.”

*arXiv:1506.01831 [Math, Stat]*.
Fernández, and Maillard. n.d. “Chains with Complete Connections: General Theory, Uniqueness, Loss of Memory and Mixing Properties.”

*Journal of Statistical Physics*.