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Stdlib Authors","url":"https://github.com/stdlib-js/stdlib/graphs/contributors"},"license":"Apache-2.0","homepage":"https://stdlib.io","keywords":["stdlib","stdmath","statistics","stats","mathematics","math","average","avg","mean","arithmetic mean","variance","sample variance","unbiased","var","dispersion","standard deviation","stdev","central tendency","incremental","accumulator"],"repository":{"type":"git","url":"git://github.com/stdlib-js/stats-incr-meanstdev.git"},"description":"Compute an arithmetic mean and corrected sample standard deviation incrementally.","contributors":[{"name":"The Stdlib Authors","url":"https://github.com/stdlib-js/stdlib/graphs/contributors"}],"maintainers":[{"name":"stdlib-bot","email":"kgryte+stdlibbot@gmail.com"},{"name":"kgryte","email":"kgryte@gmail.com"},{"name":"planeshifter","email":"pgb@andrew.cmu.edu"},{"name":"rreusser","email":"rsreusser@gmail.com"}],"readme":"<!--\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-->\n\n\n<details>\n  <summary>\n    About stdlib...\n  </summary>\n  <p>We 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.</p>\n  <p>The 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.</p>\n  <p>When 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.</p>\n  <p>To join us in bringing numerical computing to the web, get started by checking us out on <a href=\"https://github.com/stdlib-js/stdlib\">GitHub</a>, and please consider <a href=\"https://opencollective.com/stdlib\">financially supporting stdlib</a>. We greatly appreciate your continued support!</p>\n</details>\n\n# incrmeanstdev\n\n[![NPM version][npm-image]][npm-url] [![Build Status][test-image]][test-url] [![Coverage Status][coverage-image]][coverage-url] <!-- [![dependencies][dependencies-image]][dependencies-url] -->\n\n> Compute an [arithmetic mean][arithmetic-mean] and a [corrected sample standard deviation][sample-stdev] incrementally.\n\n<section class=\"intro\">\n\nThe [arithmetic mean][arithmetic-mean] is defined as\n\n<!-- <equation class=\"equation\" label=\"eq:arithmetic_mean\" align=\"center\" raw=\"\\bar{x} = \\frac{1}{n} \\sum_{i=0}^{n-1} x_i\" alt=\"Equation for the arithmetic mean.\"> -->\n\n<div class=\"equation\" align=\"center\" data-raw-text=\"\\bar{x} = \\frac{1}{n} \\sum_{i=0}^{n-1} x_i\" data-equation=\"eq:arithmetic_mean\">\n    <img src=\"https://cdn.jsdelivr.net/gh/stdlib-js/stdlib@5ca648efa8739942a21b07ad7df1947cdd01b662/lib/node_modules/@stdlib/stats/incr/meanstdev/docs/img/equation_arithmetic_mean.svg\" alt=\"Equation for the arithmetic mean.\">\n    <br>\n</div> -->\n\n<!-- </equation> -->\n\nand the [corrected sample standard deviation][sample-stdev] is defined as\n\n<!-- <equation class=\"equation\" label=\"eq:corrected_sample_standard_deviation\" align=\"center\" raw=\"s = \\sqrt{\\frac{1}{n-1} \\sum_{i=0}^{n-1} ( x_i - \\bar{x} )^2}\" alt=\"Equation for the corrected sample standard deviation.\"> -->\n\n<!-- <div class=\"equation\" align=\"center\" data-raw-text=\"s = \\sqrt{\\frac{1}{n-1} \\sum_{i=0}^{n-1} ( x_i - \\bar{x} )^2}\" data-equation=\"eq:corrected_sample_standard_deviation\">\n    <img src=\"https://cdn.jsdelivr.net/gh/stdlib-js/stdlib@5ca648efa8739942a21b07ad7df1947cdd01b662/lib/node_modules/@stdlib/stats/incr/meanstdev/docs/img/equation_corrected_sample_standard_deviation.svg\" alt=\"Equation for the corrected sample standard deviation.\">\n    <br>\n</div>\n\n<!-- </equation> -->\n\n<section class=\"installation\">\n\n## Installation\n\n```bash\nnpm install @stdlib/stats-incr-meanstdev\n```\n\n</section>\n\n<section class=\"usage\">\n\n## Usage\n\n```javascript\nvar incrmeanstdev = require( '@stdlib/stats-incr-meanstdev' );\n```\n\n#### incrmeanstdev( \\[out] )\n\nReturns an accumulator `function` which incrementally computes an [arithmetic mean][arithmetic-mean] and [corrected sample standard deviation][sample-stdev].\n\n```javascript\nvar accumulator = incrmeanstdev();\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 = incrmeanstdev( new Float64Array( 2 ) );\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 = incrmeanstdev();\n\nvar ms = accumulator();\n// returns null\n\nms = accumulator( 2.0 );\n// returns [ 2.0, 0.0 ]\n\nms = accumulator( 1.0 );\n// returns [ 1.5, ~0.71 ]\n\nms = accumulator( 3.0 );\n// returns [ 2.0, 1.0 ]\n\nms = accumulator( -7.0 );\n// returns [ -0.25, ~4.57 ]\n\nms = accumulator( -5.0 );\n// returns [ -1.2, ~4.49 ]\n\nms = accumulator();\n// returns [ -1.2, ~4.49 ]\n```\n\n</section>\n\n<!-- /.usage -->\n\n<section class=\"notes\">\n\n## Notes\n\n-   Input values are **not** type checked. If provided `NaN`, the accumulated values are equal to `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.\n\n</section>\n\n<!-- /.notes -->\n\n<section class=\"examples\">\n\n## Examples\n\n<!-- eslint no-undef: \"error\" -->\n\n```javascript\nvar randu = require( '@stdlib/random-base-randu' );\nvar Float64Array = require( '@stdlib/array-float64' );\nvar ArrayBuffer = require( '@stdlib/array-buffer' );\nvar incrmeanstdev = require( '@stdlib/stats-incr-meanstdev' );\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 < 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( incrmeanstdev( out ) );\n}\n\n// Simulate data and update the sample means and standard deviations...\nfor ( i = 0; i < 100; i++ ) {\n    for ( j = 0; j < 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 < N; i++ ) {\n    ms = acc[ i ]();\n    console.log( '%d\\t%d', ms[ 0 ].toFixed( 3 ), ms[ 1 ].toFixed( 3 ) );\n}\n```\n\n</section>\n\n<!-- /.examples -->\n\n<!-- Section for related `stdlib` packages. Do not manually edit this section, as it is automatically populated. -->\n\n<section class=\"related\">\n\n* * *\n\n## See Also\n\n-   <span class=\"package-name\">[`@stdlib/stats-incr/mean`][@stdlib/stats/incr/mean]</span><span class=\"delimiter\">: </span><span class=\"description\">compute an arithmetic mean incrementally.</span>\n-   <span class=\"package-name\">[`@stdlib/stats-incr/meanvar`][@stdlib/stats/incr/meanvar]</span><span class=\"delimiter\">: </span><span class=\"description\">compute an arithmetic mean and unbiased sample variance incrementally.</span>\n-   <span class=\"package-name\">[`@stdlib/stats-incr/mmeanstdev`][@stdlib/stats/incr/mmeanstdev]</span><span class=\"delimiter\">: </span><span class=\"description\">compute a moving arithmetic mean and corrected sample standard deviation incrementally.</span>\n-   <span class=\"package-name\">[`@stdlib/stats-incr/stdev`][@stdlib/stats/incr/stdev]</span><span class=\"delimiter\">: </span><span class=\"description\">compute a corrected sample standard deviation incrementally.</span>\n\n</section>\n\n<!-- /.related -->\n\n<!-- Section for all links. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->\n\n\n<section class=\"main-repo\" >\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 &copy; 2016-2026. The Stdlib [Authors][stdlib-authors].\n\n</section>\n\n<!-- /.stdlib -->\n\n<!-- Section for all links. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->\n\n<section class=\"links\">\n\n[npm-image]: http://img.shields.io/npm/v/@stdlib/stats-incr-meanstdev.svg\n[npm-url]: https://npmjs.org/package/@stdlib/stats-incr-meanstdev\n\n[test-image]: https://github.com/stdlib-js/stats-incr-meanstdev/actions/workflows/test.yml/badge.svg?branch=v0.2.3\n[test-url]: https://github.com/stdlib-js/stats-incr-meanstdev/actions/workflows/test.yml?query=branch:v0.2.3\n\n[coverage-image]: https://img.shields.io/codecov/c/github/stdlib-js/stats-incr-meanstdev/main.svg\n[coverage-url]: https://codecov.io/github/stdlib-js/stats-incr-meanstdev?branch=main\n\n<!--\n\n[dependencies-image]: https://img.shields.io/david/stdlib-js/stats-incr-meanstdev.svg\n[dependencies-url]: https://david-dm.org/stdlib-js/stats-incr-meanstdev/main\n\n-->\n\n[chat-image]: https://img.shields.io/badge/zulip-join_chat-brightgreen.svg\n[chat-url]: https://stdlib.zulipchat.com\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-meanstdev/tree/deno\n[deno-readme]: https://github.com/stdlib-js/stats-incr-meanstdev/blob/deno/README.md\n[umd-url]: https://github.com/stdlib-js/stats-incr-meanstdev/tree/umd\n[umd-readme]: https://github.com/stdlib-js/stats-incr-meanstdev/blob/umd/README.md\n[esm-url]: https://github.com/stdlib-js/stats-incr-meanstdev/tree/esm\n[esm-readme]: https://github.com/stdlib-js/stats-incr-meanstdev/blob/esm/README.md\n[branches-url]: https://github.com/stdlib-js/stats-incr-meanstdev/blob/main/branches.md\n\n[stdlib-license]: https://raw.githubusercontent.com/stdlib-js/stats-incr-meanstdev/main/LICENSE\n\n[arithmetic-mean]: https://en.wikipedia.org/wiki/Arithmetic_mean\n\n[sample-stdev]: https://en.wikipedia.org/wiki/Standard_deviation\n\n<!-- <related-links> -->\n\n[@stdlib/stats/incr/mean]: https://www.npmjs.com/package/@stdlib/stats-incr-mean\n\n[@stdlib/stats/incr/meanvar]: https://www.npmjs.com/package/@stdlib/stats-incr-meanvar\n\n[@stdlib/stats/incr/mmeanstdev]: https://www.npmjs.com/package/@stdlib/stats-incr-mmeanstdev\n\n[@stdlib/stats/incr/stdev]: https://www.npmjs.com/package/@stdlib/stats-incr-stdev\n\n<!-- </related-links> -->\n\n</section>\n\n<!-- /.links -->\n","readmeFilename":"README.md"}