time-to-botec

README.md (5473B)

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 # Fisher's F
 
 > F distribution constructor.
 
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 ## Usage
 
 ```javascript
 var F = require( '@stdlib/stats/base/dists/f/ctor' );
 ```
 
 #### F( \[d1, d2] )
 
 Returns a [F][f-distribution] distribution object.
 
 ```javascript
 var f = new F();
 
 var mu = f.mean;
 // returns NaN
 ```
 
 By default, `d1 = 1.0` and `d2 = 1.0`. To create a distribution having a different `d1` (numerator degrees of freedom) and `d2` (denominator degrees of freedom), provide the corresponding arguments.
 
 ```javascript
 var f = new F( 2.0, 4.0 );
 
 var mu = f.mean;
 // returns 2.0
 ```
 
 * * *
 
 ## f
 
 A [F][f-distribution] distribution object has the following properties and methods...
 
 ### Writable Properties
 
 #### f.d1
 
 Numerator degrees of freedom of the distribution. `d1` **must** be a positive number.
 
 ```javascript
 var f = new F();
 
 var d1 = f.d1;
 // returns 1.0
 
 f.d1 = 3.0;
 
 d1 = f.d1;
 // returns 3.0
 ```
 
 #### f.d2
 
 Denominator degrees of freedom of the distribution. `d2` **must** be a positive number.
 
 ```javascript
 var f = new F( 2.0, 4.0 );
 
 var d2 = f.d2;
 // returns 4.0
 
 f.d2 = 3.0;
 
 d2 = f.d2;
 // returns 3.0
 ```
 
 * * *
 
 ### Computed Properties
 
 #### F.prototype.entropy
 
 Returns the [differential entropy][entropy].
 
 ```javascript
 var f = new F( 4.0, 12.0 );
 
 var entropy = f.entropy;
 // returns ~1.12
 ```
 
 #### F.prototype.kurtosis
 
 Returns the [excess kurtosis][kurtosis].
 
 ```javascript
 var f = new F( 4.0, 12.0 );
 
 var kurtosis = f.kurtosis;
 // returns ~26.143
 ```
 
 #### F.prototype.mean
 
 Returns the [expected value][expected-value].
 
 ```javascript
 var f = new F( 4.0, 12.0 );
 
 var mu = f.mean;
 // returns 1.2
 ```
 
 #### F.prototype.mode
 
 Returns the [mode][mode].
 
 ```javascript
 var f = new F( 4.0, 12.0 );
 
 var mode = f.mode;
 // returns ~0.429
 ```
 
 #### F.prototype.skewness
 
 Returns the [skewness][skewness].
 
 ```javascript
 var f = new F( 4.0, 12.0 );
 
 var skewness = f.skewness;
 // returns ~3.207
 ```
 
 #### F.prototype.stdev
 
 Returns the [standard deviation][standard-deviation].
 
 ```javascript
 var f = new F( 4.0, 12.0 );
 
 var s = f.stdev;
 // returns ~1.122
 ```
 
 #### F.prototype.variance
 
 Returns the [variance][variance].
 
 ```javascript
 var f = new F( 4.0, 12.0 );
 
 var s2 = f.variance;
 // returns 1.26
 ```
 
 * * *
 
 ### Methods
 
 #### F.prototype.cdf( x )
 
 Evaluates the [cumulative distribution function][cdf] (CDF).
 
 ```javascript
 var f = new F( 2.0, 4.0 );
 
 var y = f.cdf( 0.5 );
 // returns ~0.36
 ```
 
 #### F.prototype.pdf( x )
 
 Evaluates the [probability density function][pdf] (PDF).
 
 ```javascript
 var f = new F( 2.0, 4.0 );
 
 var y = f.pdf( 0.8 );
 // returns ~0.364
 ```
 
 #### F.prototype.quantile( p )
 
 Evaluates the [quantile function][quantile-function] at probability `p`.
 
 ```javascript
 var f = new F( 2.0, 4.0 );
 
 var y = f.quantile( 0.5 );
 // returns ~0.828
 
 y = f.quantile( 1.9 );
 // returns NaN
 ```
 
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 * * *
 
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 ## Examples
 
 <!-- eslint no-undef: "error" -->
 
 ```javascript
 var F = require( '@stdlib/stats/base/dists/f/ctor' );
 
 var f = new F( 3.0, 5.0 );
 
 var mu = f.mean;
 // returns ~1.667
 
 var mode = f.mode;
 // returns ~0.238
 
 var s2 = f.variance;
 // returns ~11.111
 
 var y = f.cdf( 0.8 );
 // returns ~0.455
 ```
 
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 [f-distribution]: https://en.wikipedia.org/wiki/F_distribution
 
 [cdf]: https://en.wikipedia.org/wiki/Cumulative_distribution_function
 
 [pdf]: https://en.wikipedia.org/wiki/Probability_density_function
 
 [quantile-function]: https://en.wikipedia.org/wiki/Quantile_function
 
 [entropy]: https://en.wikipedia.org/wiki/Entropy_%28information_theory%29
 
 [expected-value]: https://en.wikipedia.org/wiki/Expected_value
 
 [kurtosis]: https://en.wikipedia.org/wiki/Kurtosis
 
 [mode]: https://en.wikipedia.org/wiki/Mode_%28statistics%29
 
 [skewness]: https://en.wikipedia.org/wiki/Skewness
 
 [standard-deviation]: https://en.wikipedia.org/wiki/Standard_deviation
 
 [variance]: https://en.wikipedia.org/wiki/Variance
 
 </section>
 
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