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* @license Apache-2.0
*
* Copyright (c) 2018 The Stdlib Authors.
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
'use strict';
// MODULES //
var gammaPDF = require( '@stdlib/stats/base/dists/gamma/pdf' );
// MAIN //
/**
* Evaluates the probability density function (PDF) for a chi-squared distribution with degrees of freedom `k` at a value `x`.
*
* @param {number} x - input value
* @param {NonNegativeNumber} k - degrees of freedom
* @returns {number} evaluated PDF
*
* @example
* var y = pdf( 0.3, 4.0 );
* // returns ~0.065
*
* @example
* var y = pdf( 0.7, 0.7 );
* // returns ~0.274
*
* @example
* var y = pdf( -1.0, 0.5 );
* // returns 0.0
*
* @example
* var y = pdf( 0.0, NaN );
* // returns NaN
*
* @example
* var y = pdf( NaN, 2.0 );
* // returns NaN
*
* @example
* // Negative degrees of freedom:
* var y = pdf( 2.0, -1.0 );
* // returns NaN
*/
function pdf( x, k ) {
return gammaPDF( x, k/2.0, 0.5 );
}
// EXPORTS //
module.exports = pdf;
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