# rndGeo¶

## Purpose¶

Computes geometric pseudo-random numbers with a choice of underlying random number generator.

## Format¶

y = rndGeo(r, c, prob)
{ y, newstate } = rndGeo(r, c, prob, state)
Parameters: r (scalar) – row dimension. c (scalar) – column dimension. prob (scalar or matrix) – probability parameter, scalar or matrix ExE conformable with r and c columns state (scalar or opaque vector) – Optional argument. scalar case state = starting seed value only. If -1, GAUSS computes the starting seed based on the system clock. opaque vector case state = the state vector returned from a previous call to one of the rnd random number functions. y (RxC matrix) – of geometrically distributed random numbers. newstate (Opaque vector) – the updated state.

## Remarks¶

The properties of the pseudo-random numbers in y are:

\begin{align}\begin{aligned}E(y) = \frac{1 - prob}{prob}\\Var(y) = \frac{1 - prob}{prob^2}\end{aligned}\end{align}

r and c will be truncated to integers if necessary.