The maximum likelihood approach to the identification of neuronal firing systems

@article{Brillinger1988TheML,
  title={The maximum likelihood approach to the identification of neuronal firing systems},
  author={David R. Brillinger},
  journal={Annals of Biomedical Engineering},
  year={1988},
  volume={16},
  pages={3-16}
}
The concern of this work is the identification of the (nonlinear) system of a neuron firing under the influence of a continuous input in one case, and firing under the influence of two other neurons in a second case. In the first case, suppose that the data consist of sample values Xt, Yt, t=0, ±1, ±2, ... with Yt=1 if the neuron fires in the time interval t to t+1 and Yt=0 otherwise, and with Xt denoting the (sampled) noise value at time t. Suppose that Ht denotes the history of the process to… CONTINUE READING