RANDP Generate Poisson Random Variable
Section: Random Number Generation
Usage
Generates a vector Poisson random variables with the given parameters. The general syntax for its use isy = randp(nu),
where nu
is an array containing the rate parameters
for the generated random variables.
Function Internals
A Poisson random variable is generally defined by taking the limit of a binomial distribution as the sample size becomes large, with the expected number of successes being fixed (so that the probability of success decreases as1/N
).
The Poisson distribution is given by
Example
Here is an exmaple of usingrandp
to generate some Poisson
random variables, and also using randbin
to do the same
using N=1000
trials to approximate the Poisson result.
--> randp(33*ones(1,10)) ans = 31 33 34 44 32 29 34 30 32 32 --> randbin(1000*ones(1,10),33/1000*ones(1,10)) ans = 32 36 36 39 33 34 41 33 42 32