README.md (3321B)
1 <!-- 2 3 @license Apache-2.0 4 5 Copyright (c) 2019 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 # incrwmean 22 23 > Compute a [weighted arithmetic mean][weighted-arithmetic-mean] incrementally. 24 25 <section class="intro"> 26 27 The [weighted arithmetic mean][weighted-arithmetic-mean] is defined as 28 29 <!-- <equation class="equation" label="eq:weighted_arithmetic_mean" align="center" raw="\bar{x} = \frac{\sum_{i=0}^{n-1} w_{i} x_{i}}{\sum_{i=0}^{n-1} w_{i}}" alt="Equation for the weighted arithmetic mean."> --> 30 31 <div class="equation" align="center" data-raw-text="\bar{x} = \frac{\sum_{i=0}^{n-1} w_{i} x_{i}}{\sum_{i=0}^{n-1} w_{i}}" data-equation="eq:weighted_arithmetic_mean"> 32 <img src="https://cdn.jsdelivr.net/gh/stdlib-js/stdlib@adbea9806383f70c982e3191475c874efba1296b/lib/node_modules/@stdlib/stats/incr/wmean/docs/img/equation_weighted_arithmetic_mean.svg" alt="Equation for the weighted arithmetic mean."> 33 <br> 34 </div> 35 36 <!-- </equation> --> 37 38 </section> 39 40 <!-- /.intro --> 41 42 <section class="usage"> 43 44 ## Usage 45 46 ```javascript 47 var incrwmean = require( '@stdlib/stats/incr/wmean' ); 48 ``` 49 50 #### incrwmean() 51 52 Returns an accumulator `function` which incrementally computes a [weighted arithmetic mean][weighted-arithmetic-mean]. 53 54 ```javascript 55 var accumulator = incrwmean(); 56 ``` 57 58 #### accumulator( \[x, w] ) 59 60 If provided an input value `x` and a weight `w`, the accumulator function returns an updated weighted mean. If not provided any input values, the accumulator function returns the current mean. 61 62 ```javascript 63 var accumulator = incrwmean(); 64 65 var mu = accumulator( 2.0, 1.0 ); 66 // returns 2.0 67 68 mu = accumulator( 2.0, 0.5 ); 69 // returns 2.0 70 71 mu = accumulator( 3.0, 1.5 ); 72 // returns 2.5 73 74 mu = accumulator(); 75 // returns 2.5 76 ``` 77 78 </section> 79 80 <!-- /.usage --> 81 82 <section class="notes"> 83 84 ## Notes 85 86 - Input values are **not** type checked. If provided `NaN` or a value which, when used in computations, results in `NaN`, the accumulated value is `NaN` for **all** future invocations. If non-numeric inputs are possible, you are advised to type check and handle accordingly **before** passing the value to the accumulator function. 87 88 </section> 89 90 <!-- /.notes --> 91 92 <section class="examples"> 93 94 ## Examples 95 96 <!-- eslint no-undef: "error" --> 97 98 ```javascript 99 var randu = require( '@stdlib/random/base/randu' ); 100 var incrwmean = require( '@stdlib/stats/incr/wmean' ); 101 102 var accumulator; 103 var v; 104 var w; 105 var i; 106 107 // Initialize an accumulator: 108 accumulator = incrwmean(); 109 110 // For each simulated datum, update the weighted mean... 111 for ( i = 0; i < 100; i++ ) { 112 v = randu() * 100.0; 113 w = randu() * 100.0; 114 accumulator( v, w ); 115 } 116 console.log( accumulator() ); 117 ``` 118 119 </section> 120 121 <!-- /.examples --> 122 123 <section class="links"> 124 125 [weighted-arithmetic-mean]: https://en.wikipedia.org/wiki/Weighted_arithmetic_mean 126 127 </section> 128 129 <!-- /.links -->