FreeMat: RANDP Generate Poisson Random Variable

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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 is

       y = randp(nu),

where `nu` is an array containing the rate parameters for the generated random variables.

# 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 as `1/N`). The Poisson distribution is given by

# Example

Here is an exmaple of using `randp` 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 =
     39 39 27 27 35 31 29 28 33 25

    --> randbin(1000*ones(1,10),33/1000*ones(1,10))

    ans =
     31 17 42 19 34 36 34 41 30 30