@stdlib/stats/base/dists/geometric/kurtosis/lib/main.js

Standard library statistical functions.

/**
* @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 isnan = require( '@stdlib/math/base/assert/is-nan' );


// MAIN //

/**
* Returns the excess kurtosis of a geometric distribution.
*
* @param {Probability} p - success probability
* @returns {PositiveNumber} kurtosis
*
* @example
* var v = kurtosis( 0.1 );
* // returns ~6.011
*
* @example
* var v = kurtosis( 0.5 );
* // returns 6.5
*
* @example
* var v = kurtosis( 1.1 );
* // returns NaN
*
* @example
* var v = kurtosis( NaN );
* // returns NaN
*/
function kurtosis( p ) {
	if (
		isnan( p ) ||
		p <= 0.0 ||
		p >= 1.0
	) {
		return NaN;
	}
	return 6.0 + ( ( p*p ) / ( 1.0-p ) );
}


// EXPORTS //

module.exports = kurtosis;