I am trying to model a poisson process. When I histogram the inter-event times, the distribution is exponential. I want to prove that the simulation is Poissonian. How can I calculate the Fano-factor?I have a list of waiting times and spiketimes.

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while duration <= Total_time
randNumbers = rand(1,1); IVI = -log(randNumbers)/rate;
SpikeTime = duration + IVI;
duration = duration + IVI; SpikeTimes = [SpikeTimes; SpikeTime];
counter = counter + 1;
IVI_hist(counter,1) = IVI;
end
figure(1) hist(IVI_hist, sqrt(length(IVI_hist)))

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