Press n or j to go to the next uncovered block, b, p or k for the previous block.
| 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 | 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 4015x 4015x 4015x 4015x 4015x 4015x 4015x 4015x 4006x 4015x 11x 11x 4015x 3x 3x 4015x 1x 1x 4000x 4000x 4000x 4015x 2x 2x 2x 2x 2x | /**
* @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 betainc = require( '@stdlib/math/base/special/betainc' );
var isnan = require( '@stdlib/math/base/assert/is-nan' );
var floor = require( '@stdlib/math/base/special/floor' );
var PINF = require( '@stdlib/constants/float64/pinf' );
// MAIN //
/**
* Evaluates the cumulative distribution function (CDF) for a negative binomial distribution with number of successes until experiment is stopped `r` and success probability `p` at a value `x`.
*
* @param {number} x - input value
* @param {PositiveNumber} r - number of successes until experiment is stopped
* @param {Probability} p - success probability
* @returns {Probability} evaluated CDF
*
* @example
* var y = cdf( 5.0, 20.0, 0.8 );
* // returns ~0.617
*
* @example
* var y = cdf( 21.0, 20.0, 0.5 );
* // returns ~0.622
*
* @example
* var y = cdf( 5.0, 10.0, 0.4 );
* // returns ~0.034
*
* @example
* var y = cdf( 0.0, 10.0, 0.9 );
* // returns ~0.349
*
* @example
* var y = cdf( 21.0, 15.5, 0.5 );
* // returns ~0.859
*
* @example
* var y = cdf( 5.0, 7.4, 0.4 );
* // returns ~0.131
*
* @example
* var y = cdf( 2.0, 0.0, 0.5 );
* // returns NaN
*
* @example
* var y = cdf( 2.0, -2.0, 0.5 );
* // returns NaN
*
* @example
* var y = cdf( NaN, 20.0, 0.5 );
* // returns NaN
*
* @example
* var y = cdf( 0.0, NaN, 0.5 );
* // returns NaN
*
* @example
* var y = cdf( 0.0, 20.0, NaN );
* // returns NaN
*
* @example
* var y = cdf( 2.0, 20, -1.0 );
* // returns NaN
*
* @example
* var y = cdf( 2.0, 20, 1.5 );
* // returns NaN
*/
function cdf( x, r, p ) {
var xint;
if (
isnan( x ) ||
isnan( r ) ||
isnan( p ) ||
r <= 0.0 ||
p < 0.0 ||
p > 1.0
) {
return NaN;
}
if ( x < 0.0 ) {
return 0.0;
}
if ( x === PINF ) {
return 1.0;
}
// Ensure left-continuity:
xint = floor( x + 1e-7 );
return betainc( p, r, xint + 1.0 );
}
// EXPORTS //
module.exports = cdf;
|