time-to-botec

Benchmark sampling in different programming languages
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README.md (3519B)

      1 <!--
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      3 @license Apache-2.0
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      5 Copyright (c) 2018 The Stdlib Authors.
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      7 Licensed under the Apache License, Version 2.0 (the "License");
      8 you may not use this file except in compliance with the License.
      9 You may obtain a copy of the License at
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     11    http://www.apache.org/licenses/LICENSE-2.0
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     13 Unless required by applicable law or agreed to in writing, software
     14 distributed under the License is distributed on an "AS IS" BASIS,
     15 WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
     16 See the License for the specific language governing permissions and
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     20 
     21 # Skewness
     22 
     23 > [Exponential][exponential-distribution] distribution [skewness][skewness].
     24 
     25 <!-- Section to include introductory text. Make sure to keep an empty line after the intro `section` element and another before the `/section` close. -->
     26 
     27 <section class="intro">
     28 
     29 The [skewness][skewness] for an [exponential][exponential-distribution] random variable with rate parameter `λ` is
     30 
     31 <!-- <equation class="equation" label="eq:exponential_skewness" align="center" raw="\operatorname{skew}\left( X \right) = 2" alt="Skewness for an exponential distribution."> -->
     32 
     33 <div class="equation" align="center" data-raw-text="\operatorname{skew}\left( X \right) = 2" data-equation="eq:exponential_skewness">
     34     <img src="https://cdn.jsdelivr.net/gh/stdlib-js/stdlib@51534079fef45e990850102147e8945fb023d1d0/lib/node_modules/@stdlib/stats/base/dists/exponential/skewness/docs/img/equation_exponential_skewness.svg" alt="Skewness for an exponential distribution.">
     35     <br>
     36 </div>
     37 
     38 <!-- </equation> -->
     39 
     40 </section>
     41 
     42 <!-- /.intro -->
     43 
     44 <!-- Package usage documentation. -->
     45 
     46 <section class="usage">
     47 
     48 ## Usage
     49 
     50 ```javascript
     51 var skewness = require( '@stdlib/stats/base/dists/exponential/skewness' );
     52 ```
     53 
     54 #### skewness( lambda )
     55 
     56 Returns the [skewness][skewness] of an [exponential][exponential-distribution] distribution with rate parameter `lambda`.
     57 
     58 ```javascript
     59 var v = skewness( 9.0 );
     60 // returns 2.0
     61 
     62 v = skewness( 0.5 );
     63 // returns 2.0
     64 ```
     65 
     66 If provided `lambda < 0`, the function returns `NaN`.
     67 
     68 ```javascript
     69 var v = skewness( -1.0 );
     70 // returns NaN
     71 ```
     72 
     73 </section>
     74 
     75 <!-- /.usage -->
     76 
     77 <!-- Package usage notes. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
     78 
     79 <section class="notes">
     80 
     81 </section>
     82 
     83 <!-- /.notes -->
     84 
     85 <!-- Package usage examples. -->
     86 
     87 <section class="examples">
     88 
     89 ## Examples
     90 
     91 <!-- eslint no-undef: "error" -->
     92 
     93 ```javascript
     94 var randu = require( '@stdlib/random/base/randu' );
     95 var round = require( '@stdlib/math/base/special/round' );
     96 var skewness = require( '@stdlib/stats/base/dists/exponential/skewness' );
     97 
     98 var lambda;
     99 var v;
    100 var i;
    101 
    102 for ( i = 0; i < 10; i++ ) {
    103     lambda = randu() * 20.0;
    104     v = skewness( lambda );
    105     console.log( 'λ: %d, skew(X;λ): %d', lambda.toFixed( 4 ), v.toFixed( 4 ) );
    106 }
    107 ```
    108 
    109 </section>
    110 
    111 <!-- /.examples -->
    112 
    113 <!-- Section to include cited references. If references are included, add a horizontal rule *before* the section. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
    114 
    115 <section class="references">
    116 
    117 </section>
    118 
    119 <!-- /.references -->
    120 
    121 <!-- Section for all links. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
    122 
    123 <section class="links">
    124 
    125 [exponential-distribution]: https://en.wikipedia.org/wiki/Exponential_distribution
    126 
    127 [skewness]: https://en.wikipedia.org/wiki/Skewness
    128 
    129 </section>
    130 
    131 <!-- /.links -->