Student's t Random Numbers

Student's t-distributed pseudorandom numbers.

Usage

var t = require( '@stdlib/math/base/random/t' );

t( v )

Returns a pseudorandom number drawn from a Student's t-distribution with degrees of freedom v.

var r = t( 2.4 );
// returns <number>

If v <= 0 or v is NaN, the function returns NaN.

var r = t( -2.0 );
// returns NaN

r = t( NaN );
// returns NaN

t.factory( [v, ][options] )

Returns a pseudorandom number generator (PRNG) for generating pseudorandom numbers drawn from a Student's t-distribution.

var rand = t.factory();

var r = rand( 5.0 );
// returns <number>

If provided v, the returned generator returns random variates from the specified distribution.

var rand = t.factory( 1.0 );

var r = rand();
// returns <number>

r = rand();
// returns <number>

If not provided v, the returned generator requires that v be provided at each invocation.

var rand = t.factory();

var r = rand( 4.0 );
// returns <number>

r = rand( 3.14 );
// returns <number>

The function accepts the following options:

• seed: pseudorandom number generator seed.

To seed a pseudorandom number generator, set the seed option.

var rand = t.factory({
    'seed': 12345
});

var r = rand( 3.0 );
// returns <number>

rand = t.factory( 3.0, {
    'seed': 12345
});

r = rand();
// returns <number>

t.NAME

The generator name.

var name = t.NAME;
// returns 't'

t.PRNG

The underlying pseudorandom number generator.

var prng = t.PRNG;
// returns <Function>

t.SEED

The value used to seed t().

var rand;
var r;
var i;

// Generate pseudorandom values...
for ( i = 0; i < 100; i++ ) {
    r = t( 2.0 );
}

// Generate the same pseudorandom values...
rand = t.factory( 2.0, {
    'seed': t.SEED
});
for ( i = 0; i < 100; i++ ) {
    r = rand();
}

Examples

var t = require( '@stdlib/math/base/random/t' );

var seed;
var rand;
var i;

// Generate pseudorandom numbers...
console.log( '\nseed: %d', t.SEED );
for ( i = 0; i < 100; i++ ) {
    console.log( t( 1.0 ) );
}

// Create a new pseudorandom number generator...
seed = 1234;
rand = t.factory( 5.0, {
    'seed': seed
});
console.log( '\nseed: %d', seed );
for ( i = 0; i < 100; i++ ) {
    console.log( rand() );
}

// Create another pseudorandom number generator using a previous seed...
rand = t.factory( 1.0, {
    'seed': t.SEED
});
console.log( '\nseed: %d', t.SEED );
for ( i = 0; i < 100; i++ ) {
    console.log( rand() );
}