Poisson arrivals and exponential inter-arrival times

I want generate events that follow Poisson arrivals and the inter-arrival time between events to be exponentially distributed?

which command should I use ?

Answer 1

[David Goodmanson]

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