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Poisson arrivals and exponential inter-arrival times

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zeezo
zeezo 2017-7-27
编辑： David Goodmanson 2017-7-27
I want generate events that follow Poisson arrivals and the inter-arrival time between events to be exponentially distributed?
which command should I use ?

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David Goodmanson
David Goodmanson 2017-7-27
编辑：David Goodmanson 2017-7-27
Hi zeezo,
Not doubt there is something in one or more of the toolboxes, but for a set of time intervals with the exponential distribution, with mean time t0:
n = 1e7
t = -log(rand(1,n))*t0;
The fraction of occurrences with t > t0 should be exp(-1):
>> (1/n)*sum(t>t0)
ans = 0.3680
>> exp(-1)
ans = 0.3679

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