PoissonV

Generates Poisson distributed random values with varying mean.

Syntax

Fortran:

status = virngpoissonv( method, stream, n, r, lambda )

C:

status = viRngPoissonV( method, stream, n, r, lambda );

Include Files

The FORTRAN 77 interfaces are specified in the mkl_vsl.f77 include file, the Fortran 90 interfaces are specified in the mkl_vsl.f90 include file, and the C interfaces are specified in the mkl_vsl_functions.h include file.

Input Parameters

Name

Type

Description

method

FORTRAN 77: INTEGER

Fortran 90: INTEGER, INTENT(IN)

C: const int

Generation method. The specific value is as follows: VSL_RNG_METHOD_POISSONV_POISNORM

See brief description of the POISNORM method in Table"Values of <method> in method parameter"

stream

FORTRAN 77: INTEGER*4 stream(2)

Fortran 90: TYPE (VSL_STREAM_STATE), INTENT(IN)

C: VSLStreamStatePtr

Fortran: Descriptor of the stream state structure.

C: Pointer to the stream state structure

n

FORTRAN 77: INTEGER

Fortran 90: INTEGER, INTENT(IN)

C: const int

Number of random values to be generated

lambda

FORTRAN 77: DOUBLE PRECISION

Fortran 90: DOUBLE PRECISION, INTENT(IN)

C: const double*

Array of n distribution parameters λi.

Output Parameters

Name

Type

Description

r

FORTRAN 77: INTEGER

Fortran 90: INTEGER, INTENT(OUT)

C: int*

Vector of n Poisson distributed random values

Description

The PoissonV function generates n Poisson distributed random numbers xi(i = 1, ..., n) with distribution parameter λi, where λiR; λi > 0.

The probability distribution is given by:


Equation

The cumulative distribution function is as follows:


Equation

Return Values

VSL_ERROR_OK, VSL_STATUS_OK

Indicates no error, execution is successful.

VSL_ERROR_NULL_PTR

stream is a NULL pointer.

VSL_RNG_ERROR_BAD_STREAM

stream is not a valid random stream.

VSL_RNG_ERROR_BAD_UPDATE

Callback function for an abstract BRNG returns an invalid number of updated entries in a buffer, that is, < 0 or > nmax.

VSL_RNG_ERROR_NO_NUMBERS

Callback function for an abstract BRNG returns 0 as the number of updated entries in a buffer.

VSL_RNG_ERROR_QRNG_PERIOD_ELAPSED

Period of the generator has been exceeded.


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