Chi-squared distribution standard deviation.
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> [Chi-squared][chisquare-distribution] distribution [standard deviation][stdev].
The [standard deviation][stdev] for a [chi-squared][chisquare-distribution] random variable is
where k >= 0 is the degrees of freedom.
``bash`
npm install @stdlib/stats-base-dists-chisquare-stdev
`javascript`
var stdev = require( '@stdlib/stats-base-dists-chisquare-stdev' );
#### stdev( k )
Returns the [standard deviation][stdev] of a [chi-squared][chisquare-distribution] distribution with degrees of freedom k.
`javascript
var v = stdev( 9.0 );
// returns ~4.243
v = stdev( 0.5 );
// returns 1.0
`
If provided k < 0, the function returns NaN.
`javascript`
var v = stdev( -1.0 );
// returns NaN
`javascript
var uniform = require( '@stdlib/random-array-uniform' );
var logEachMap = require( '@stdlib/console-log-each-map' );
var stdev = require( '@stdlib/stats-base-dists-chisquare-stdev' );
var opts = {
'dtype': 'float64'
};
var k = uniform( 10, 0.0, 20.0, opts );
logEachMap( 'k: %0.4f, SD(X;k): %0.4f', k, stdev );
`
*
`c`
#include "stdlib/stats/base/dists/chisquare/stdev.h"
#### stdlib_base_dists_chisquare_stdev( k )
Returns the [standard deviation][stdev] of a [chi-squared][chisquare-distribution] distribution with degrees of freedom k.
`c`
double out = stdlib_base_dists_chisquare_stdev( 9.0 );
// returns ~4.243
The function accepts the following arguments:
- k: [in] double degrees of freedom.
`c`
double stdlib_base_dists_chisquare_stdev( const double k );
`c
#include "stdlib/stats/base/dists/chisquare/stdev.h"
#include
#include
static double random_uniform( const double min, const double max ) {
double v = (double)rand() / ( (double)RAND_MAX + 1.0 );
return min + ( v*(max-min) );
}
int main( void ) {
double k;
double y;
int i;
for ( i = 0; i < 25; i++ ) {
k = random_uniform( 0.0, 20.0 );
y = stdlib_base_dists_chisquare_stdev( k );
printf( "k: %lf, SD(X;k): %lf\n", k, y );
}
}
`
*
This package is part of [stdlib][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][stdlib], see the main project [repository][stdlib].
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---
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[chisquare-distribution]: https://en.wikipedia.org/wiki/Chi-squared_distribution
[stdev]: https://en.wikipedia.org/wiki/Standard_deviation