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https://github.com/stdlib-js/stats-incr-summary

Compute a statistical summary incrementally.
https://github.com/stdlib-js/stats-incr-summary

accumulator incremental javascript math mathematics node node-js nodejs statistics stats stdlib summary

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Compute a statistical summary incrementally.

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README

        


About stdlib...

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# incrsummary

[![NPM version][npm-image]][npm-url] [![Build Status][test-image]][test-url] [![Coverage Status][coverage-image]][coverage-url]

> Compute a statistical summary incrementally.

## Installation

```bash
npm install @stdlib/stats-incr-summary
```

Alternatively,

- 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]).
- If you are using Deno, visit the [`deno`][deno-url] branch (see [README][deno-readme] for usage intructions).
- 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]).

The [branches.md][branches-url] file summarizes the available branches and displays a diagram illustrating their relationships.

To 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.

## Usage

```javascript
var incrsummary = require( '@stdlib/stats-incr-summary' );
```

#### incrsummary()

Returns an accumulator `function` which incrementally computes a statistical summary.

```javascript
var accumulator = incrsummary();
```

#### accumulator( \[x] )

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

```javascript
var accumulator = incrsummary();

var summary = accumulator();
// returns {}

summary = accumulator( 2.0 );
/* returns
{
'count': 1,
'max': 2.0,
'min': 2.0,
'range': 0.0,
'midrange': 2.0,
'sum': 2.0,
'mean': 2.0,
'variance': 0.0,
'stdev': 0.0,
'skewness': null,
'kurtosis': null
}
*/

summary = accumulator( 1.0 );
/* returns
{
'count': 2,
'max': 2.0,
'min': 1.0,
'range': 1.0,
'midrange': 1.5,
'sum': 3.0,
'mean': 1.5,
'variance': 0.5,
'stdev': 0.7071067811865476,
'skewness': null,
'kurtosis': null
}
*/

summary = accumulator( -3.0 );
/* returns
{
'count': 3,
'max': 2.0,
'min': -3.0,
'range': 5.0,
'midrange': -0.5,
'sum': 0.0,
'mean': 0.0,
'variance': 7,
'stdev': ~2.65,
'skewness': ~-1.46,
'kurtosis': null
}
*/

summary = accumulator();
/* returns
{
'count': 3,
'max': 2.0,
'min': -3.0,
'range': 5.0,
'midrange': -0.5,
'sum': 0.0,
'mean': 0.0,
'variance': 7,
'stdev': ~2.65,
'skewness': ~-1.46,
'kurtosis': null
}
*/
```

## Notes

- Input values are **not** type checked. If non-numeric inputs are possible, you are advised to type check and handle accordingly **before** passing the value to the accumulator function.
- For long running accumulations or accumulations of large numbers, care should be taken to prevent overflow.

## Examples

```javascript
var randu = require( '@stdlib/random-base-randu' );
var incrsummary = require( '@stdlib/stats-incr-summary' );

var accumulator;
var v;
var i;

// Initialize an accumulator:
accumulator = incrsummary();

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

* * *

## See Also

- [`@stdlib/stats-incr/count`][@stdlib/stats/incr/count]: compute a count incrementally.
- [`@stdlib/stats-incr/kurtosis`][@stdlib/stats/incr/kurtosis]: compute a corrected sample excess kurtosis incrementally.
- [`@stdlib/stats-incr/max`][@stdlib/stats/incr/max]: compute a maximum value incrementally.
- [`@stdlib/stats-incr/mean`][@stdlib/stats/incr/mean]: compute an arithmetic mean incrementally.
- [`@stdlib/stats-incr/midrange`][@stdlib/stats/incr/midrange]: compute a mid-range incrementally.
- [`@stdlib/stats-incr/min`][@stdlib/stats/incr/min]: compute a minimum value incrementally.
- [`@stdlib/stats-incr/msummary`][@stdlib/stats/incr/msummary]: compute a moving statistical summary incrementally.
- [`@stdlib/stats-incr/range`][@stdlib/stats/incr/range]: compute a range incrementally.
- [`@stdlib/stats-incr/skewness`][@stdlib/stats/incr/skewness]: compute a corrected sample skewness incrementally.
- [`@stdlib/stats-incr/stdev`][@stdlib/stats/incr/stdev]: compute a corrected sample standard deviation incrementally.
- [`@stdlib/stats-incr/sum`][@stdlib/stats/incr/sum]: compute a sum incrementally.
- [`@stdlib/stats-incr/variance`][@stdlib/stats/incr/variance]: compute an unbiased sample variance incrementally.

* * *

## Notice

This 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.

For 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].

#### Community

[![Chat][chat-image]][chat-url]

---

## License

See [LICENSE][stdlib-license].

## Copyright

Copyright © 2016-2024. The Stdlib [Authors][stdlib-authors].

[npm-image]: http://img.shields.io/npm/v/@stdlib/stats-incr-summary.svg
[npm-url]: https://npmjs.org/package/@stdlib/stats-incr-summary

[test-image]: https://github.com/stdlib-js/stats-incr-summary/actions/workflows/test.yml/badge.svg?branch=main
[test-url]: https://github.com/stdlib-js/stats-incr-summary/actions/workflows/test.yml?query=branch:main

[coverage-image]: https://img.shields.io/codecov/c/github/stdlib-js/stats-incr-summary/main.svg
[coverage-url]: https://codecov.io/github/stdlib-js/stats-incr-summary?branch=main

[chat-image]: https://img.shields.io/gitter/room/stdlib-js/stdlib.svg
[chat-url]: https://app.gitter.im/#/room/#stdlib-js_stdlib:gitter.im

[stdlib]: https://github.com/stdlib-js/stdlib

[stdlib-authors]: https://github.com/stdlib-js/stdlib/graphs/contributors

[umd]: https://github.com/umdjs/umd
[es-module]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Guide/Modules

[deno-url]: https://github.com/stdlib-js/stats-incr-summary/tree/deno
[deno-readme]: https://github.com/stdlib-js/stats-incr-summary/blob/deno/README.md
[umd-url]: https://github.com/stdlib-js/stats-incr-summary/tree/umd
[umd-readme]: https://github.com/stdlib-js/stats-incr-summary/blob/umd/README.md
[esm-url]: https://github.com/stdlib-js/stats-incr-summary/tree/esm
[esm-readme]: https://github.com/stdlib-js/stats-incr-summary/blob/esm/README.md
[branches-url]: https://github.com/stdlib-js/stats-incr-summary/blob/main/branches.md

[stdlib-license]: https://raw.githubusercontent.com/stdlib-js/stats-incr-summary/main/LICENSE

[@stdlib/stats/incr/count]: https://github.com/stdlib-js/stats-incr-count

[@stdlib/stats/incr/kurtosis]: https://github.com/stdlib-js/stats-incr-kurtosis

[@stdlib/stats/incr/max]: https://github.com/stdlib-js/stats-incr-max

[@stdlib/stats/incr/mean]: https://github.com/stdlib-js/stats-incr-mean

[@stdlib/stats/incr/midrange]: https://github.com/stdlib-js/stats-incr-midrange

[@stdlib/stats/incr/min]: https://github.com/stdlib-js/stats-incr-min

[@stdlib/stats/incr/msummary]: https://github.com/stdlib-js/stats-incr-msummary

[@stdlib/stats/incr/range]: https://github.com/stdlib-js/stats-incr-range

[@stdlib/stats/incr/skewness]: https://github.com/stdlib-js/stats-incr-skewness

[@stdlib/stats/incr/stdev]: https://github.com/stdlib-js/stats-incr-stdev

[@stdlib/stats/incr/sum]: https://github.com/stdlib-js/stats-incr-sum

[@stdlib/stats/incr/variance]: https://github.com/stdlib-js/stats-incr-variance