A LIMIT-THEOREM AND ASYMPTOTICAL STATISTICAL CHARACTERISTICS FOR A SELECTIVE INTERACTION-MODEL OF A SINGLE NEURON

We consider in this article, interaction of two types of inputs, one excitatory and the other inhibitory arriving according to a stationary renewal point process, resulting in a renewal point process of events consisting of neural discharge (response yielding events). Apart from obtaining the explicit expressions for the asymptotical statistical characteristics of time for the first response yielding event, a limit theorem is proved.