Erlang distribution constructor.
APACHE-2.0 License
Erlang distribution constructor.
npm install @stdlib/stats-base-dists-erlang-ctor
Alternatively,
script
tag without installation and bundlers, use the ES Module available on the esm
branch (see README).deno
branch (see README for usage intructions).umd
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To view installation and usage instructions specific to each branch build, be sure to explicitly navigate to the respective README files on each branch, as linked to above.
var Erlang = require( '@stdlib/stats-base-dists-erlang-ctor' );
Returns an Erlang distribution object.
var erlang = new Erlang();
var mode = erlang.mode;
// returns 0.0
By default, k = 1.0
and lambda = 1.0
. To create a distribution having a different k
(shape parameter) and lambda
(rate parameter), provide the corresponding arguments.
var erlang = new Erlang( 2, 4.0 );
var mode = erlang.mode;
// returns 0.25
An Erlang distribution object has the following properties and methods...
Shape parameter of the distribution. k
must be a positive integer.
var erlang = new Erlang();
var k = erlang.k;
// returns 1.0
erlang.k = 3.0;
k = erlang.k;
// returns 3.0
Rate parameter of the distribution. lambda
must be a positive number.
var erlang = new Erlang( 2, 4.0 );
var lambda = erlang.lambda;
// returns 4.0
erlang.lambda = 3.0;
lambda = erlang.lambda;
// returns 3.0
Returns the differential entropy.
var erlang = new Erlang( 4, 12.0 );
var entropy = erlang.entropy;
// returns ~-0.462
Returns the excess kurtosis.
var erlang = new Erlang( 4, 12.0 );
var kurtosis = erlang.kurtosis;
// returns 1.5
Returns the expected value.
var erlang = new Erlang( 4, 12.0 );
var mu = erlang.mean;
// returns ~0.333
Returns the mode.
var erlang = new Erlang( 4, 12.0 );
var mode = erlang.mode;
// returns 0.25
Returns the skewness.
var erlang = new Erlang( 4, 12.0 );
var skewness = erlang.skewness;
// returns 1.0
Returns the standard deviation.
var erlang = new Erlang( 4, 12.0 );
var s = erlang.stdev;
// returns ~0.167
Returns the variance.
var erlang = new Erlang( 4, 12.0 );
var s2 = erlang.variance;
// returns ~0.028
Evaluates the cumulative distribution function (CDF).
var erlang = new Erlang( 2, 4.0 );
var y = erlang.cdf( 0.5 );
// returns ~0.594
Evaluates the natural logarithm of the probability density function (PDF).
var erlang = new Erlang( 2, 4.0 );
var y = erlang.logpdf( 0.8 );
// returns ~-0.65
Evaluates the moment-generating function (MGF).
var erlang = new Erlang( 2, 4.0 );
var y = erlang.mgf( 0.5 );
// returns ~1.306
Evaluates the probability density function (PDF).
var erlang = new Erlang( 2, 4.0 );
var y = erlang.pdf( 0.8 );
// returns ~0.522
Evaluates the quantile function at probability p
.
var erlang = new Erlang( 2, 4.0 );
var y = erlang.quantile( 0.5 );
// returns ~0.42
y = erlang.quantile( 1.9 );
// returns NaN
var Erlang = require( '@stdlib/stats-base-dists-erlang-ctor' );
var erlang = new Erlang( 2, 4.0 );
var mu = erlang.mean;
// returns 0.5
var mode = erlang.mode;
// returns 0.25
var s2 = erlang.variance;
// returns 0.125
var y = erlang.cdf( 0.8 );
// returns ~0.829
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