Proves LAN for the spiking rate parameter in mean-field neuron systems with resets, yielding asymptotic efficiency and local minimax optimality of the MLE.
and Ost, G., Mean field limits for nonlinear spatially extended Hawkes processes with exponential memory kernels, Stoch
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LAN property for the parameter of the jump rate in mean field interacting systems of neurons
Proves LAN for the spiking rate parameter in mean-field neuron systems with resets, yielding asymptotic efficiency and local minimax optimality of the MLE.