rndWeibull#

Purpose#

Computes Weibull pseudo-random numbers with the choice of underlying random number generator.

Format#

x = rndWeibull(r, c, shape, scale)#
{ x, newstate } = rndWeibull(r, c, shape, scale, state)
Parameters:
  • r (scalar) – number of rows of resulting matrix.

  • c (scalar) – number of columns of resulting matrix.

  • shape (matrix or vector or scalar) – shape parameter, ExE conformable matrix with r and c.

  • scale (matrix or vector or scalar) – scale parameter, ExE conformable matrix with r and c.

  • 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:
  • x (RxC matrix) – Weibull distributed random numbers.

  • newstate (Opaque vector) – the updated state.

Remarks#

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

E(x)=scaleΓ(1+1/shape)Var(x)=scale2(Γ(1+2shape)(Γ(1+1shape))2)

r and c will be truncated to integers if necessary.

See also

Functions rndCreateState(), rndStateSkip()