LowDiscrepancy {fOptions}R Documentation

Low Discrepancy Sequences

Description

A collection and description of functions to compute Halton's and Sobol's low discrepancy sequences, distributed in form of a uniform or normal distribution.

The functions are:

runif.halton Uniform Halton sequence,
rnorm.halton Normal Halton sequence,
runif.sobol Uniform scrambled Sobol sequence,
rnorm.sobol Normal scrambled Sobol sequence,
runif.pseudo Uniform pseudo random numbers,
norma.pseudo Normal pseudo random numbers.

Usage

runif.halton(n, dimension, init) 
rnorm.halton(n, dimension, init)

runif.sobol(n, dimension, init, scrambling, seed) 
rnorm.sobol(n, dimension, init, scrambling, seed)

runif.pseudo(n, dimension, init)
rnorm.pseudo(n, dimension, init)

Arguments

dimension an integer value, the dimension of the sequence. The maximum value for the Sobol generator is 1111.
init a logical, if TRUE the sequence is initialized and restarts, otherwise not. By default TRUE.
n an integer value, the number of random deviates.
scrambling an integer value, if 1, 2 or 3 the sequence is scrambled otherwise not. If 1, Owen type type of scrambling is applied, if 2, Faure-Tezuka type of scrambling, is applied, and if 3, both Owen+Faure-Tezuka type of scrambling is applied. By default 0.
seed an integer value, the random seed for initialization of the scrambling process. By default 4711. On effective if scrambling>0.

Details

Halton's Low Discrepancy Sequences:

Calculates a matrix of uniform or normal deviated halton low left"> Unifop> Halton's Low Discrepancy Sequences:

Calculates a matrix of uniform or normal deviated halton low left"> Unifop> Halton's Low Discrepancy Sequences:

Calculates a matrix of uniform or normal deviated halton low left"> Unifop> Halton's Low Discrepancy Sequences:

Calculates a matrix of uniform or normal deviated halton low left"> Unifop> Halton's Low Discrepancy Sequences:

Calculates a matrix of uniform or normal deviated halton low left"> Unifop> Halton's Low Discrepancy Sequences:

Calculates a matrix of uniform or normal deviated halton low left"> Unifop> Halton's Low Discrepancy Sequences:

Calculates a matrix of uniform or normal deviated halton low left"> Unifop> Halton's Low Discrepancy Sequences:

Calculates a matrix of uniform or normal deviated halton low left"> Unifop> Halton's Low Discrepancy Sequences:

Calculates a matrix of uniform or normal deviated halton low left"> Unifop> Halton's Low Discrepancy Sequences:

Calculates a matrix of uniform or normal deviated halton low left"> Unifop> Halton's Low Discrepancy Sequences:

Calculates a matrix of uniform or normal deviated halton low left"> Unifop> Halton's Low Discrepancy Sequences:

Calculates a matrix of uniform or normal deviated halton low left"> Unifop> Halton's Low Discrepancy Sequences:

Calculates a matrix of uniform or normal deviated halton low left"> Unifop> Halton's Low Discrepancy Sequences:

Calculates a matrix of uniform or normal deviated halton low left"> Unifop> Halton's Low Discrepancy Sequences:

Calculates a matrix of uniform or normal deviated halton low left"> Unifop> Halton's Low Discrepancy Sequences:

Calculates a matrix of uniform or normal deviated halton low left"> Unifop> Halton's Low Discrepancy Sequences:

Calculates a matrix of uniform or normal deviated halton low left"> Unifop> Halton's Low Discrepancy Sequences:

Calculates a matrix of uniform or normal deviated halton low left"> Unifop> Halton's Low Discrepancy Sequences:

Calculates a matrix of uniform or normal deviated halton low left"> Unifop> Halton's Low Discrepancy Sequences:

Calculates a matrix of uniform or normal deviated halton low left"> Unifop> Halton's Low Discrepancy Sequences:

Calculates a matrix of uniform or normal deviated halton low left"> Unifop> Halton's Low Discrepancy Sequences:

Calculates a matrix of uniform or normal deviated halton low left"> Unifop> Halton's Low Discrep