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Cumulative Distribution Function
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[Degenerate distribution][degenerate-distribution] [cumulative distribution function][cdf].
µ
is the constant value of the distribution.
bash
npm install @stdlib/stats-base-dists-degenerate-cdf
javascript
var cdf = require( '@stdlib/stats-base-dists-degenerate-cdf' );
#### cdf( x, mu )
Evaluates the [CDF][cdf] of a [degenerate distribution][degenerate-distribution] centered at mu
.
javascript
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][cdf] of a [degenerate distribution][degenerate-distribution] centered at mu
.
javascript
var mycdf = cdf.factory( 10.0 );
var y = mycdf( 10.0 );
// returns 1.0
y = mycdf( 8.0 );
// returns 0.0
javascript
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 );
}