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Lecture 27 | Poisson regression

STATS 200: introduction to Statistical InferenceAutumn 2016 Lecture 27 Poisson The Poisson log-linear modelExample in the central nervous system transmit signals via a series of actionpotentials, or spikes . The spiking of a single neuron may be measured by a microelectrode,and its sequence of spikes over time is called a spike train. A simple and commonly-usedstatistical model for a spike train is an inhomogeneous Poisson point process, which hasthe following property: Forntime windows of length , lettingYidenote the number ofspikes generated by the neuron in theithtime window, the random variablesY1,..,Ynareindependent and distributed asYi Poisson ( i ), where the parameter icontrols thespiking rate in theithtime window.

STATS 200: Introduction to Statistical Inference Autumn 2016 Lecture 27 | Poisson regression 27.1 The Poisson log-linear model Example 27.1. Neurons in the central nervous system transmit signals via a series of action

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