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incrmmidrange
Compute a moving mid-range incrementally.
The mid-range, or mid-extreme, is the arithmetic mean of maximum and minimum values. Accordingly, the mid-range is the midpoint of the range and a measure of central tendency.
Usage
var incrmmidrange = require( '@stdlib/stats/incr/mmidrange' );
incrmmidrange( window )
Returns an accumulator function
which incrementally computes a moving mid-range. The window
parameter defines the number of values over which to compute the moving mid-range.
var accumulator = incrmmidrange( 3 );
accumulator( [x] )
If provided an input value x
, the accumulator function returns an updated mid-range. If not provided an input value x
, the accumulator function returns the current mid-range.
var accumulator = incrmmidrange( 3 );
var mr = accumulator();
// returns null
// Fill the window...
mr = accumulator( 2.0 ); // [2.0]
// returns 2.0
mr = accumulator( 1.0 ); // [2.0, 1.0]
// returns 1.5
mr = accumulator( 3.0 ); // [2.0, 1.0, 3.0]
// returns 2.0
// Window begins sliding...
mr = accumulator( -7.0 ); // [1.0, 3.0, -7.0]
// returns -2.0
mr = accumulator( -5.0 ); // [3.0, -7.0, -5.0]
// returns -2.0
mr = accumulator();
// returns -2.0
Notes
- Input values are not type checked. If provided
NaN
, the accumulated value isNaN
for at leastW-1
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. - As
W
values are needed to fill the window buffer, the firstW-1
returned values are calculated from smaller sample sizes. Until the window is full, each returned value is calculated from all provided values.
Examples
var randu = require( '@stdlib/random/base/randu' );
var incrmmidrange = require( '@stdlib/stats/incr/mmidrange' );
var accumulator;
var v;
var i;
// Initialize an accumulator:
accumulator = incrmmidrange( 5 );
// For each simulated datum, update the moving mid-range...
for ( i = 0; i < 100; i++ ) {
v = randu() * 100.0;
accumulator( v );
}
console.log( accumulator() );