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Standard Deviation

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Logistic distribution standard deviation.

The standard deviation for a logistic random variable with location μ and scale s > 0 is

Standard deviation for a logistic distribution.


npm install @stdlib/stats-base-dists-logistic-stdev


var stdev = require( '@stdlib/stats-base-dists-logistic-stdev' );

stdev( mu, s )

Returns the standard deviation for a logistic distribution with location parameter mu and scale parameter s.

var y = stdev( 2.0, 1.0 );
// returns ~1.814

y = stdev( 0.0, 1.0 );
// returns ~1.814

y = stdev( -1.0, 4.0 );
// returns ~7.255

If provided NaN as any argument, the function returns NaN.

var y = stdev( NaN, 1.0 );
// returns NaN

y = stdev( 0.0, NaN );
// returns NaN

If provided s <= 0, the function returns NaN.

var y = stdev( 0.0, 0.0 );
// returns NaN

y = stdev( 0.0, -1.0 );
// returns NaN


var randu = require( '@stdlib/random-base-randu' );
var stdev = require( '@stdlib/stats-base-dists-logistic-stdev' );

var mu;
var s;
var y;
var i;

for ( i = 0; i < 10; i++ ) {
    mu = ( randu()*10.0 ) - 5.0;
    s = randu() * 20.0;
    y = stdev( mu, s );
    console.log( 'µ: %d, s: %d, SD(X;µ,s): %d', mu.toFixed( 4 ), s.toFixed( 4 ), y.toFixed( 4 ) );


This package is part of stdlib, a standard library for JavaScript and Node.js, with an emphasis on numerical and scientific computing. The library provides a collection of robust, high performance libraries for mathematics, statistics, streams, utilities, and more.

For more information on the project, filing bug reports and feature requests, and guidance on how to develop stdlib, see the main project repository.






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