dev.nm.stat.random.rng.univariate.uniform.linear

Class MRG

java.lang.Object

dev.nm.stat.random.rng.univariate.uniform.linear.MRG

All Implemented Interfaces:

RandomLongGenerator, RandomNumberGenerator, LinearCongruentialGenerator, Seedable

public class MRG
extends Object
implements LinearCongruentialGenerator

A Multiple Recursive Generator (MRG) is a linear congruential generator which takes this form: \[ \begin{gathered} x_{i} = (a_{1} \cdot x_{i-1} + a_{2} \cdot x_{i-2} + \ldots + a_{k} \cdot x_{i-k}) \operatorname{mod} m \\ u_{i} = x_{i} / m \end{gathered} \]

See Also:

"Paul Glasserman, "p. 44," Monte Carlo Methods in Financial Engineering, 2004."

Constructor Summary

Constructors

Constructor and Description
MRG(long m, long... a) Construct a Multiple Recursive Generator.

Method Summary

Modifier and Type	Method and Description
long	modulus() Get the modulus of this linear congruential generator.
double	nextDouble() Get the next random double.
long	nextLong() Get the next random long.
int	order() Get the order of recursion.
void	seed(long... x) Seed the random number/vector/scenario generator to produce repeatable experiments.

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Detail

MRG

public MRG(long m,
           long... a)

Construct a Multiple Recursive Generator.

Parameters:

m - the modulus

a - multipliers for the Lehmer rng (a long)

Method Detail

seed

public void seed(long... x)

Description copied from interface: Seedable

Seed the random number/vector/scenario generator to produce repeatable experiments.

Specified by:

seed in interface Seedable

Parameters:

x - the seeds

order

public int order()

Description copied from interface: LinearCongruentialGenerator

Get the order of recursion.

Specified by:

order in interface LinearCongruentialGenerator

Returns:

the order of recursion

modulus

public long modulus()

Description copied from interface: LinearCongruentialGenerator

Get the modulus of this linear congruential generator.

Specified by:

modulus in interface LinearCongruentialGenerator

Returns:

the modulus

nextLong

public long nextLong()

Description copied from interface: RandomLongGenerator

Get the next random long.

Specified by:

nextLong in interface RandomLongGenerator

Returns:

the next random long

nextDouble

public double nextDouble()

Description copied from interface: RandomNumberGenerator

Get the next random double.

Specified by:

nextDouble in interface RandomNumberGenerator

Returns:

the next random number