Cumulative Distribution Function
The cumulative distribution function for a degenerate random variable is
where µ is the constant value of the distribution.
Usage
var cdf = require( '@stdlib/stats/base/dists/degenerate/cdf' );
cdf( x, mu )
Evaluates the CDF of a degenerate distribution centered at mu.
var y = cdf( 2.0, 8.0 );
// returns 0.0
y = cdf( 8.0, 8.0 );
// returns 1.0
y = cdf( 10.0, 8.0 );
// returns 1.0
cdf.factory( mu )
Returns a function for evaluating the cumulative distribution function of a degenerate distribution centered at mu.
var mycdf = cdf.factory( 10.0 );
var y = mycdf( 10.0 );
// returns 1.0
y = mycdf( 8.0 );
// returns 0.0
Examples
var randu = require( '@stdlib/random/base/randu' );
var round = require( '@stdlib/math/base/special/round' );
var cdf = require( '@stdlib/stats/base/dists/degenerate/cdf' );
var mu;
var x;
var y;
var i;
for ( i = 0; i < 100; i++ ) {
x = round( randu()*10.0 );
mu = round( randu()*10.0 );
y = cdf( x, mu );
console.log( 'x: %d, µ: %d, F(x;µ): %d', x, mu, y );
}