Compute a weighted arithmetic mean incrementally.
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Compute a [weighted arithmetic mean][weighted-arithmetic-mean] incrementally.
math
\bar{x} = \frac{\displaystyle\sum_{i=0}^{n-1} w_{i} x_{i}}{\displaystyle\sum_{i=0}^{n-1} w_{i}}
bash
npm install @stdlib/stats-incr-wmean
script
tag without installation and bundlers, use the [ES Module][es-module] available on the [esm
][esm-url] branch (see [README][esm-readme]).deno
][deno-url] branch (see [README][deno-readme] for usage intructions).umd
][umd-url] branch (see [README][umd-readme]).javascript
var incrwmean = require( '@stdlib/stats-incr-wmean' );
function
which incrementally computes a [weighted arithmetic mean][weighted-arithmetic-mean].javascript
var accumulator = incrwmean();
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.javascript
var accumulator = incrwmean();
var mu = accumulator( 2.0, 1.0 );
// returns 2.0
mu = accumulator( 2.0, 0.5 );
// returns 2.0
mu = accumulator( 3.0, 1.5 );
// returns 2.5
mu = accumulator();
// returns 2.5
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.javascript
var randu = require( '@stdlib/random-base-randu' );
var incrwmean = require( '@stdlib/stats-incr-wmean' );
var accumulator;
var v;
var w;
var i;
// Initialize an accumulator:
accumulator = incrwmean();
// For each simulated datum, update the weighted mean...
for ( i = 0; i < 100; i++ ) {
v = randu() * 100.0;
w = randu() * 100.0;
accumulator( v, w );
}
console.log( accumulator() );