# 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.

Returns
• 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.