time-to-botec/squiggle/node_modules/@stdlib/stats/base/dists/pareto-type1

Pareto (Type I)

Pareto (Type I) distribution.

Usage

var pareto1 = require( '@stdlib/stats/base/dists/pareto-type1' );

pareto1

Pareto (Type I) distribution.

var dist = pareto1;
// returns {...}

The namespace contains the following distribution functions:

• cdf( x, alpha, beta ): Pareto (Type I) distribution cumulative distribution function.
• logcdf( x, alpha, beta ): evaluate the natural logarithm of the cumulative distribution function for a Pareto (Type I) distribution.
• logpdf( x, alpha, beta ): evaluate the natural logarithm of the probability density function (PDF) for a Pareto (Type I) distribution.
• pdf( x, alpha, beta ): Pareto (Type I) distribution probability density function (PDF).
• quantile( p, alpha, beta ): Pareto (Type I) distribution quantile function.

The namespace contains the following functions for calculating distribution properties:

• entropy( alpha, beta ): Pareto (Type I) distribution differential entropy.
• kurtosis( alpha, beta ): Pareto (Type I) distribution excess kurtosis.
• mean( alpha, beta ): Pareto (Type I) distribution expected value.
• median( alpha, beta ): Pareto (Type I) distribution median.
• mode( alpha, beta ): Pareto (Type I) distribution mode.
• skewness( alpha, beta ): Pareto (Type I) distribution skewness.
• stdev( alpha, beta ): Pareto (Type I) distribution standard deviation.
• variance( alpha, beta ): Pareto (Type I) distribution variance.

The namespace contains a constructor function for creating a Pareto (Type I) distribution object.

• Pareto1( [alpha, beta] ): Pareto (Type I) distribution constructor.

var Pareto1 = require( '@stdlib/stats/base/dists/pareto-type1' ).Pareto1;

var dist = new Pareto1( 2.0, 4.0 );

var y = dist.cdf( 3.5 );
// returns 0.0

Examples

var objectKeys = require( '@stdlib/utils/keys' );
var pareto1 = require( '@stdlib/stats/base/dists/pareto-type1' );

console.log( objectKeys( pareto1 ) );