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* @license Apache-2.0
*
* Copyright (c) 2025 The Stdlib Authors.
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
'use strict';
// MODULES //
var isNumber = require( '@stdlib/assert/is-number' ).isPrimitive;
var incrmeanvar = require( '@stdlib/stats/incr/meanvar' );
var isnan = require( '@stdlib/math/base/assert/is-nan' );
// MAIN //
/**
* Returns an accumulator function which incrementally computes an arithmetic mean and unbiased sample variance, ignoring `NaN` value.
*
* ## References
*
* - Welford, B. P. 1962. "Note on a Method for Calculating Corrected Sums of Squares and Products." _Technometrics_ 4 (3). Taylor & Francis: 419–20. doi:[10.1080/00401706.1962.10490022](https://doi.org/10.1080/00401706.1962.10490022).
* - van Reeken, A. J. 1968. "Letters to the Editor: Dealing with Neely's Algorithms." _Communications of the ACM_ 11 (3): 149–50. doi:[10.1145/362929.362961](https://doi.org/10.1145/362929.362961).
*
* @param {Collection} [out] - output array
* @throws {TypeError} output argument must be array-like
* @returns {Function} accumulator function
*
* @example
* var accumulator = incrnanmeanvar();
*
* var mv = accumulator();
* // returns null
*
* mv = accumulator( 2.0 );
* // returns [ 2.0, 0.0 ]
*
* mv = accumulator( -5.0 );
* // returns [ -1.5, 24.5 ]
*
* mv = accumulator( 3.0 );
* // returns [ 0.0, 19.0 ]
*
* mv = accumulator( NaN );
* // returns [ 0.0, 19.0 ]
*
* mv = accumulator( 5.0 );
* // returns [ 1.25, ~18.92 ]
*
* mv = accumulator();
* // returns [ 1.25, ~18.92 ]
*/
function incrnanmeanvar( out ) {
var meanvar;
if ( arguments.length > 0 ) {
meanvar = incrmeanvar( out );
} else {
meanvar = incrmeanvar();
}
return accumulator;
/**
* If provided a value, the accumulator function returns updated results. If not provided a value, the accumulator function returns the current results.
*
* @private
* @param {number} [x] - input value
* @returns {(ArrayLikeObject|null)} output array or null
*/
function accumulator( x ) {
if ( arguments.length === 0 || isnan( x ) || !isNumber( x ) ) {
return meanvar();
}
return meanvar( x );
}
}
// EXPORTS //
module.exports = incrnanmeanvar;
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