README.md (2851B)
1 <!-- 2 3 @license Apache-2.0 4 5 Copyright (c) 2018 The Stdlib Authors. 6 7 Licensed under the Apache License, Version 2.0 (the "License"); 8 you may not use this file except in compliance with the License. 9 You may obtain a copy of the License at 10 11 http://www.apache.org/licenses/LICENSE-2.0 12 13 Unless required by applicable law or agreed to in writing, software 14 distributed under the License is distributed on an "AS IS" BASIS, 15 WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. 16 See the License for the specific language governing permissions and 17 limitations under the License. 18 19 --> 20 21 # Standard Deviation 22 23 > [Normal][normal-distribution] distribution [standard deviation][standard-deviation]. 24 25 <!-- Package usage documentation. --> 26 27 <section class="usage"> 28 29 ## Usage 30 31 ```javascript 32 var stdev = require( '@stdlib/stats/base/dists/normal/stdev' ); 33 ``` 34 35 #### stdev( mu, sigma ) 36 37 Returns the [standard deviation][standard-deviation] for a [normal][normal-distribution] distribution with parameters `mu` (mean) and `sigma` (standard deviation). 38 39 ```javascript 40 var y = stdev( 2.0, 1.0 ); 41 // returns 1.0 42 43 y = stdev( -1.0, 4.0 ); 44 // returns 4.0 45 ``` 46 47 If provided `NaN` as any argument, the function returns `NaN`. 48 49 ```javascript 50 var y = stdev( NaN, 1.0 ); 51 // returns NaN 52 53 y = stdev( 0.0, NaN ); 54 // returns NaN 55 ``` 56 57 If provided `sigma <= 0`, the function returns `NaN`. 58 59 ```javascript 60 var y = stdev( 0.0, 0.0 ); 61 // returns NaN 62 63 y = stdev( 0.0, -1.0 ); 64 // returns NaN 65 ``` 66 67 </section> 68 69 <!-- /.usage --> 70 71 <!-- Package usage notes. Make sure to keep an empty line after the `section` element and another before the `/section` close. --> 72 73 <section class="notes"> 74 75 </section> 76 77 <!-- /.notes --> 78 79 <!-- Package usage examples. --> 80 81 <section class="examples"> 82 83 ## Examples 84 85 <!-- eslint no-undef: "error" --> 86 87 ```javascript 88 var randu = require( '@stdlib/random/base/randu' ); 89 var stdev = require( '@stdlib/stats/base/dists/normal/stdev' ); 90 91 var sigma; 92 var mu; 93 var y; 94 var i; 95 96 for ( i = 0; i < 10; i++ ) { 97 mu = ( randu()*10.0 ) - 5.0; 98 sigma = randu() * 20.0; 99 y = stdev( mu, sigma ); 100 console.log( 'µ: %d, σ: %d, Var(X;µ,σ): %d', mu.toFixed( 4 ), sigma.toFixed( 4 ), y.toFixed( 4 ) ); 101 } 102 ``` 103 104 </section> 105 106 <!-- /.examples --> 107 108 <!-- Section to include cited references. If references are included, add a horizontal rule *before* the section. Make sure to keep an empty line after the `section` element and another before the `/section` close. --> 109 110 <section class="references"> 111 112 </section> 113 114 <!-- /.references --> 115 116 <!-- Section for all links. Make sure to keep an empty line after the `section` element and another before the `/section` close. --> 117 118 <section class="links"> 119 120 [normal-distribution]: https://en.wikipedia.org/wiki/Normal_distribution 121 122 [standard-deviation]: https://en.wikipedia.org/wiki/Standard_deviation 123 124 </section> 125 126 <!-- /.links -->