increwmean

Compute an exponentially weighted mean incrementally.

An exponentially weighted mean can be defined recursively as

Usage

var increwmean = require( '@stdlib/stats/incr/ewmean' );

increwmean( alpha )

Returns an accumulator function which incrementally computes an exponentially weighted mean, where alpha is a smoothing factor between 0 and 1.

var accumulator = increwmean( 0.5 );

accumulator( [x] )

If provided an input value x, the accumulator function returns an updated mean. If not provided an input value x, the accumulator function returns the current mean.

var accumulator = increwmean( 0.5 );

var v = accumulator();
// returns null

v = accumulator( 2.0 );
// returns 2.0

v = accumulator( 1.0 );
// returns 1.5

v = accumulator( 3.0 );
// returns 2.25

v = accumulator();
// returns 2.25

Notes

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.

Examples

var randu = require( '@stdlib/random/base/randu' );
var increwmean = require( '@stdlib/stats/incr/ewmean' );

var accumulator;
var v;
var i;

// Initialize an accumulator:
accumulator = increwmean( 0.5 );

// For each simulated datum, update the exponentially weighted mean...
for ( i = 0; i < 100; i++ ) {
    v = randu() * 100.0;
    accumulator( v );
}
console.log( accumulator() );