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reading","robots_txt_status":"success","robots_txt_updated_at":"2025-07-24T06:49:26.215Z","robots_txt_url":"https://github.com/robots.txt","online":false,"can_crawl_api":true,"host_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub","repositories_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories","repository_names_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repository_names","owners_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners"}},"keywords":["arithmetic-mean","average","avg","central-tendency","javascript","math","mathematics","mean","moving-average","moving-mean","node","node-js","nodejs","sample","sample-variance","statistics","stats","stdlib","unbiased","variance"],"created_at":"2025-01-02T17:31:23.119Z","updated_at":"2026-03-06T22:05:35.606Z","avatar_url":"https://github.com/stdlib-js.png","language":"JavaScript","funding_links":["https://github.com/sponsors/stdlib-js","https://opencollective.com/stdlib","https://tidelift.com/funding/github/npm/@stdlib/stdlib"],"categories":[],"sub_categories":[],"readme":"\u003c!--\n\n@license Apache-2.0\n\nCopyright (c) 2018 The Stdlib Authors.\n\nLicensed under the Apache License, Version 2.0 (the \"License\");\nyou may not use this file except in compliance with the License.\nYou may obtain a copy of the License at\n\n   http://www.apache.org/licenses/LICENSE-2.0\n\nUnless required by applicable law or agreed to in writing, software\ndistributed under the License is distributed on an \"AS IS\" BASIS,\nWITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.\nSee the License for the specific language governing permissions and\nlimitations under the License.\n\n--\u003e\n\n\n\u003cdetails\u003e\n  \u003csummary\u003e\n    About stdlib...\n  \u003c/summary\u003e\n  \u003cp\u003eWe believe in a future in which the web is a preferred environment for numerical computation. To help realize this future, we've built stdlib. stdlib is a standard library, with an emphasis on numerical and scientific computation, written in JavaScript (and C) for execution in browsers and in Node.js.\u003c/p\u003e\n  \u003cp\u003eThe library is fully decomposable, being architected in such a way that you can swap out and mix and match APIs and functionality to cater to your exact preferences and use cases.\u003c/p\u003e\n  \u003cp\u003eWhen you use stdlib, you can be absolutely certain that you are using the most thorough, rigorous, well-written, studied, documented, tested, measured, and high-quality code out there.\u003c/p\u003e\n  \u003cp\u003eTo join us in bringing numerical computing to the web, get started by checking us out on \u003ca href=\"https://github.com/stdlib-js/stdlib\"\u003eGitHub\u003c/a\u003e, and please consider \u003ca href=\"https://opencollective.com/stdlib\"\u003efinancially supporting stdlib\u003c/a\u003e. We greatly appreciate your continued support!\u003c/p\u003e\n\u003c/details\u003e\n\n# incrmmeanstdev\n\n[![NPM version][npm-image]][npm-url] [![Build Status][test-image]][test-url] [![Coverage Status][coverage-image]][coverage-url] \u003c!-- [![dependencies][dependencies-image]][dependencies-url] --\u003e\n\n\u003e Compute a moving [arithmetic mean][arithmetic-mean] and [corrected sample standard deviation][standard-deviation] incrementally.\n\n\u003csection class=\"intro\"\u003e\n\nFor a window of size `W`, the [arithmetic mean][arithmetic-mean] is defined as\n\n\u003c!-- \u003cequation class=\"equation\" label=\"eq:arithmetic_mean\" align=\"center\" raw=\"\\bar{x} = \\frac{1}{W} \\sum_{i=0}^{W-1} x_i\" alt=\"Equation for the arithmetic mean.\"\u003e --\u003e\n\n```math\n\\bar{x} = \\frac{1}{W} \\sum_{i=0}^{W-1} x_i\n```\n\n\u003c!-- \u003cdiv class=\"equation\" align=\"center\" data-raw-text=\"\\bar{x} = \\frac{1}{W} \\sum_{i=0}^{W-1} x_i\" data-equation=\"eq:arithmetic_mean\"\u003e\n    \u003cimg src=\"https://cdn.jsdelivr.net/gh/stdlib-js/stdlib@10877053965ff3d0149611583ee50714bb64a8ea/lib/node_modules/@stdlib/stats/incr/mmeanstdev/docs/img/equation_arithmetic_mean.svg\" alt=\"Equation for the arithmetic mean.\"\u003e\n    \u003cbr\u003e\n\u003c/div\u003e --\u003e\n\n\u003c!-- \u003c/equation\u003e --\u003e\n\nand the [corrected sample standard deviation][standard-deviation] is defined as\n\n\u003c!-- \u003cequation class=\"equation\" label=\"eq:corrected_sample_standard_deviation\" align=\"center\" raw=\"s = \\sqrt{\\frac{1}{W-1} \\sum_{i=0}^{W-1} ( x_i - \\bar{x} )^2}\" alt=\"Equation for the corrected sample standard deviation.\"\u003e --\u003e\n\n```math\ns = \\sqrt{\\frac{1}{W-1} \\sum_{i=0}^{W-1} ( x_i - \\bar{x} )^2}\n```\n\n\u003c!-- \u003cdiv class=\"equation\" align=\"center\" data-raw-text=\"s = \\sqrt{\\frac{1}{W-1} \\sum_{i=0}^{W-1} ( x_i - \\bar{x} )^2}\" data-equation=\"eq:corrected_sample_standard_deviation\"\u003e\n    \u003cimg src=\"https://cdn.jsdelivr.net/gh/stdlib-js/stdlib@8284daf692badf90996becd5080db0dabf438411/lib/node_modules/@stdlib/stats/incr/mmeanstdev/docs/img/equation_corrected_sample_standard_deviation.svg\" alt=\"Equation for the corrected sample standard deviation.\"\u003e\n    \u003cbr\u003e\n\u003c/div\u003e --\u003e\n\n\u003c!-- \u003c/equation\u003e --\u003e\n\n\u003c/section\u003e\n\n\u003c!-- /.intro --\u003e\n\n\u003csection class=\"installation\"\u003e\n\n## Installation\n\n```bash\nnpm install @stdlib/stats-incr-mmeanstdev\n```\n\nAlternatively,\n\n-   To load the package in a website via a `script` tag without installation and bundlers, use the [ES Module][es-module] available on the [`esm`][esm-url] branch (see [README][esm-readme]).\n-   If you are using Deno, visit the [`deno`][deno-url] branch (see [README][deno-readme] for usage intructions).\n-   For use in Observable, or in browser/node environments, use the [Universal Module Definition (UMD)][umd] build available on the [`umd`][umd-url] branch (see [README][umd-readme]).\n\nThe [branches.md][branches-url] file summarizes the available branches and displays a diagram illustrating their relationships.\n\nTo view installation and usage instructions specific to each branch build, be sure to explicitly navigate to the respective README files on each branch, as linked to above.\n\n\u003c/section\u003e\n\n\u003csection class=\"usage\"\u003e\n\n## Usage\n\n```javascript\nvar incrmmeanstdev = require( '@stdlib/stats-incr-mmeanstdev' );\n```\n\n#### incrmmeanstdev( \\[out,] window )\n\nReturns an accumulator `function` which incrementally computes a moving [arithmetic mean][arithmetic-mean] and [corrected sample standard deviation][standard-deviation]. The `window` parameter defines the number of values over which to compute the moving [arithmetic mean][arithmetic-mean] and [corrected sample standard deviation][standard-deviation].\n\n```javascript\nvar accumulator = incrmmeanstdev( 3 );\n```\n\nBy default, the returned accumulator `function` returns the accumulated values as a two-element `array`. To avoid unnecessary memory allocation, the function supports providing an output (destination) object.\n\n```javascript\nvar Float64Array = require( '@stdlib/array-float64' );\n\nvar accumulator = incrmmeanstdev( new Float64Array( 2 ), 3 );\n```\n\n#### accumulator( \\[x] )\n\nIf provided an input value `x`, the accumulator function returns updated accumulated values. If not provided an input value `x`, the accumulator function returns the current accumulated values.\n\n```javascript\nvar accumulator = incrmmeanstdev( 3 );\n\nvar out = accumulator();\n// returns null\n\n// Fill the window...\nout = accumulator( 2.0 ); // [2.0]\n// returns [ 2.0, 0.0 ]\n\nout = accumulator( 1.0 ); // [2.0, 1.0]\n// returns [ 1.5, ~0.71 ]\n\nout = accumulator( 3.0 ); // [2.0, 1.0, 3.0]\n// returns [ 2.0, 1.0 ]\n\n// Window begins sliding...\nout = accumulator( -7.0 ); // [1.0, 3.0, -7.0]\n// returns [ -1.0, ~5.29 ]\n\nout = accumulator( -5.0 ); // [3.0, -7.0, -5.0]\n// returns [ -3.0, ~5.29 ]\n\nout = accumulator();\n// returns [ -3.0, ~5.29 ]\n```\n\n\u003c/section\u003e\n\n\u003c!-- /.usage --\u003e\n\n\u003csection class=\"notes\"\u003e\n\n## Notes\n\n-   Input values are **not** type checked. If provided `NaN`, the accumulated values are `NaN` for **at least** `W-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.\n-   As `W` values are needed to fill the window buffer, the first `W-1` returned values are calculated from smaller sample sizes. Until the window is full, each returned value is calculated from all provided values.\n\n\u003c/section\u003e\n\n\u003c!-- /.notes --\u003e\n\n\u003csection class=\"examples\"\u003e\n\n## Examples\n\n\u003c!-- eslint no-undef: \"error\" --\u003e\n\n```javascript\nvar randu = require( '@stdlib/random-base-randu' );\nvar Float64Array = require( '@stdlib/array-float64' );\nvar ArrayBuffer = require( '@stdlib/array-buffer' );\nvar incrmmeanstdev = require( '@stdlib/stats-incr-mmeanstdev' );\n\nvar offset;\nvar acc;\nvar buf;\nvar out;\nvar ms;\nvar N;\nvar v;\nvar i;\nvar j;\n\n// Define the number of accumulators:\nN = 5;\n\n// Create an array buffer for storing accumulator output:\nbuf = new ArrayBuffer( N*2*8 ); // 8 bytes per element\n\n// Initialize accumulators:\nacc = [];\nfor ( i = 0; i \u003c N; i++ ) {\n    // Compute the byte offset:\n    offset = i * 2 * 8; // stride=2, bytes_per_element=8\n\n    // Create a new view for storing accumulated values:\n    out = new Float64Array( buf, offset, 2 );\n\n    // Initialize an accumulator which will write results to the view:\n    acc.push( incrmmeanstdev( out, 5 ) );\n}\n\n// Simulate data and update the moving sample means and standard deviations...\nfor ( i = 0; i \u003c 100; i++ ) {\n    for ( j = 0; j \u003c N; j++ ) {\n        v = randu() * 100.0 * (j+1);\n        acc[ j ]( v );\n    }\n}\n\n// Print the final results:\nconsole.log( 'Mean\\tStDev' );\nfor ( i = 0; i \u003c N; i++ ) {\n    ms = acc[ i ]();\n    console.log( '%d\\t%d', ms[ 0 ].toFixed( 3 ), ms[ 1 ].toFixed( 3 ) );\n}\n```\n\n\u003c/section\u003e\n\n\u003c!-- /.examples --\u003e\n\n\u003c!-- Section for related `stdlib` packages. Do not manually edit this section, as it is automatically populated. --\u003e\n\n\u003csection class=\"related\"\u003e\n\n* * *\n\n## See Also\n\n-   \u003cspan class=\"package-name\"\u003e[`@stdlib/stats-incr/meanstdev`][@stdlib/stats/incr/meanstdev]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute an arithmetic mean and corrected sample standard deviation incrementally.\u003c/span\u003e\n-   \u003cspan class=\"package-name\"\u003e[`@stdlib/stats-incr/mmean`][@stdlib/stats/incr/mmean]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute a moving arithmetic mean incrementally.\u003c/span\u003e\n-   \u003cspan class=\"package-name\"\u003e[`@stdlib/stats-incr/mmeanvar`][@stdlib/stats/incr/mmeanvar]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute a moving arithmetic mean and unbiased sample variance incrementally.\u003c/span\u003e\n-   \u003cspan class=\"package-name\"\u003e[`@stdlib/stats-incr/mstdev`][@stdlib/stats/incr/mstdev]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute a moving corrected sample standard deviation incrementally.\u003c/span\u003e\n\n\u003c/section\u003e\n\n\u003c!-- /.related --\u003e\n\n\u003c!-- Section for all links. Make sure to keep an empty line after the `section` element and another before the `/section` close. --\u003e\n\n\n\u003csection class=\"main-repo\" \u003e\n\n* * *\n\n## Notice\n\nThis package is part of [stdlib][stdlib], a standard library for JavaScript and Node.js, with an emphasis on numerical and scientific computing. The library provides a collection of robust, high performance libraries for mathematics, statistics, streams, utilities, and more.\n\nFor more information on the project, filing bug reports and feature requests, and guidance on how to develop [stdlib][stdlib], see the main project [repository][stdlib].\n\n#### Community\n\n[![Chat][chat-image]][chat-url]\n\n---\n\n## License\n\nSee [LICENSE][stdlib-license].\n\n\n## Copyright\n\nCopyright \u0026copy; 2016-2025. The Stdlib [Authors][stdlib-authors].\n\n\u003c/section\u003e\n\n\u003c!-- /.stdlib --\u003e\n\n\u003c!-- Section for all links. Make sure to keep an empty line after the `section` element and another before the `/section` close. --\u003e\n\n\u003csection class=\"links\"\u003e\n\n[npm-image]: http://img.shields.io/npm/v/@stdlib/stats-incr-mmeanstdev.svg\n[npm-url]: https://npmjs.org/package/@stdlib/stats-incr-mmeanstdev\n\n[test-image]: https://github.com/stdlib-js/stats-incr-mmeanstdev/actions/workflows/test.yml/badge.svg?branch=main\n[test-url]: https://github.com/stdlib-js/stats-incr-mmeanstdev/actions/workflows/test.yml?query=branch:main\n\n[coverage-image]: https://img.shields.io/codecov/c/github/stdlib-js/stats-incr-mmeanstdev/main.svg\n[coverage-url]: https://codecov.io/github/stdlib-js/stats-incr-mmeanstdev?branch=main\n\n\u003c!--\n\n[dependencies-image]: https://img.shields.io/david/stdlib-js/stats-incr-mmeanstdev.svg\n[dependencies-url]: https://david-dm.org/stdlib-js/stats-incr-mmeanstdev/main\n\n--\u003e\n\n[chat-image]: https://img.shields.io/gitter/room/stdlib-js/stdlib.svg\n[chat-url]: https://app.gitter.im/#/room/#stdlib-js_stdlib:gitter.im\n\n[stdlib]: https://github.com/stdlib-js/stdlib\n\n[stdlib-authors]: https://github.com/stdlib-js/stdlib/graphs/contributors\n\n[umd]: https://github.com/umdjs/umd\n[es-module]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Guide/Modules\n\n[deno-url]: https://github.com/stdlib-js/stats-incr-mmeanstdev/tree/deno\n[deno-readme]: https://github.com/stdlib-js/stats-incr-mmeanstdev/blob/deno/README.md\n[umd-url]: https://github.com/stdlib-js/stats-incr-mmeanstdev/tree/umd\n[umd-readme]: https://github.com/stdlib-js/stats-incr-mmeanstdev/blob/umd/README.md\n[esm-url]: https://github.com/stdlib-js/stats-incr-mmeanstdev/tree/esm\n[esm-readme]: https://github.com/stdlib-js/stats-incr-mmeanstdev/blob/esm/README.md\n[branches-url]: https://github.com/stdlib-js/stats-incr-mmeanstdev/blob/main/branches.md\n\n[stdlib-license]: https://raw.githubusercontent.com/stdlib-js/stats-incr-mmeanstdev/main/LICENSE\n\n[arithmetic-mean]: https://en.wikipedia.org/wiki/Arithmetic_mean\n\n[standard-deviation]: https://en.wikipedia.org/wiki/Standard_deviation\n\n\u003c!-- \u003crelated-links\u003e --\u003e\n\n[@stdlib/stats/incr/meanstdev]: https://github.com/stdlib-js/stats-incr-meanstdev\n\n[@stdlib/stats/incr/mmean]: https://github.com/stdlib-js/stats-incr-mmean\n\n[@stdlib/stats/incr/mmeanvar]: https://github.com/stdlib-js/stats-incr-mmeanvar\n\n[@stdlib/stats/incr/mstdev]: https://github.com/stdlib-js/stats-incr-mstdev\n\n\u003c!-- \u003c/related-links\u003e --\u003e\n\n\u003c/section\u003e\n\n\u003c!-- /.links --\u003e\n","project_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fstdlib-js%2Fstats-incr-mmeanstdev","html_url":"https://awesome.ecosyste.ms/projects/github.com%2Fstdlib-js%2Fstats-incr-mmeanstdev","lists_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fstdlib-js%2Fstats-incr-mmeanstdev/lists"}