fBasics (version 4041.97)

lcg: Generator for Portable random innovations

Description

Functions to generate portable random innovations. The functions run under R and S-Plus and generate the same sequence of random numbers. Supported are uniform, normal and Student-t distributed random numbers.

The functions are:

set.lcgseed	Set initial random seed,
get.lcgseed	Get the current valus of the random seed,
runif.lcg	Uniform linear congruational generator,
rnorm.lcg	Normal linear congruational generator,
rt.lcg	Student-t linear congruential generator.

Usage

set.lcgseed(seed = 4711)
get.lcgseed()
runif.lcg(n, min = 0, max = 1)
rnorm.lcg(n, mean = 0, sd = 1)
rt.lcg(n, df)

Value

A vector of generated random innovations. The value of the current seed is stored in the variable lcg.seed.

Arguments

seed

an integer value, the random number seed.

n

an integer, the number of random innovations to be generated.

df

degrees of freedom, a positive number, may be non-integer.

mean, sd

mean and standard deviation of the normally distributed innovations.

min, max

lower and upper limits of the uniformly distributed innovations.

Details

A simple portable random number generator for use in R and SPlus. We recommend to use this generator only for comparisons of calculations in R and Splus.

The generator is a linear congruential generator with parameters LCG(a=13445, c=0, m=2^31-1, X=0). It is a simple random number generator which passes the bitwise randomness test.

References

Altman, N.S. (1988); Bitwise Behavior of Random Number Generators, SIAM J. Sci. Stat. Comput., 9(5), September, 941--949.

Examples

set.lcgseed(seed = 65890)
 
## runif.lcg, rnorm.lcg, rt.lcg
cbind(runif.lcg(10), rnorm.lcg(10), rt.lcg(10, df = 4))

get.lcgseed()  
   
## Note, to overwrite rnorm, use
   # rnorm = rnorm.lcg
   # Going back to rnorm
   # rm(rnorm)