docs: add examples and documentation for laplace distribution

Author: bruno-noir

lib/node_modules/@stdlib/stats/base/dists/laplace/README.md

@@ -109,11 +109,92 @@ var y = dist.cdf( 0.5 );
 <!-- eslint no-undef: "error" -->
 
 ```javascript
+
 var objectKeys = require( '@stdlib/utils/keys' );
-var laplace = require( '@stdlib/stats/base/dists/laplace' );
+var laplace = require( './../lib' );
+var quantile = require('@stdlib/stats/base/dists/laplace/quantile');
+var logpdf = require('@stdlib/stats/base/dists/laplace/logpdf');
+var laplaceConstructor = require('@stdlib/stats/base/dists/laplace/ctor');
 
-console.log( objectKeys( laplace ) );
-```
+console.log(objectKeys(laplace));
+
+var laplaceDist = new laplaceConstructor(4.0, 2.0);
+
+console.log(laplaceDist.mu);
+// => 4.0
+
+console.log(laplaceDist.b);
+// => 2.0
+
+laplaceDist.mu = 6.0;
+laplaceDist.b = 3.0;
+
+console.log(laplaceDist.mu);
+// => 6.0
+
+console.log(laplaceDist.b);
+// => 3.0
+
+console.log(laplaceDist.kurtosis);
+// => 3.0
+
+console.log(laplaceDist.median);
+// => 6.0
+
+console.log(laplaceDist.variance);
+// => 18.0
+
+var mu = 4.0;
+var b = 2.0;
+
+console.log(laplace.pdf(2.0, mu, b));
+// => ~ 0.092
+
+console.log(laplace.cdf(2.0, mu, b));
+// => ~ 0.184
+
+console.log(laplace.quantile(0.5, mu, b));
+// => 4.0
+
+console.log(laplace.mgf(0.5, mu, b));
+// => NaN
+
+mu = 6.0;
+b = 3.0;
+
+console.log(laplace.entropy(mu, b));
+// => ~ 2.7918
+
+console.log(laplace.mean(mu, b));
+// => 6.0
+
+console.log(laplace.median(mu, b));
+// => 6.0
+
+console.log(laplace.mode(mu, b));
+// => 6.0
+
+console.log(laplace.variance(mu, b));
+// => 18.0
+
+console.log(laplace.skewness(mu, b));
+// => 0.0
+
+var myquantile = quantile.factory(10.0, 2.0);
+
+console.log(myquantile(0.2));
+// => ~ 8.167
+
+console.log(myquantile(0.8));
+// => ~ 11.833
+
+var mylogpdf = logpdf.factory(10.0, 2.0);
+
+console.log(mylogpdf(10.0));
+// => ~ -1.386
+
+console.log(mylogpdf(5.0));
+// => ~ -3.886
 
 </section>
 

lib/node_modules/@stdlib/stats/base/dists/laplace/examples/index.js

@@ -20,5 +20,87 @@
 
 var objectKeys = require( '@stdlib/utils/keys' );
 var laplace = require( './../lib' );
+var quantile = require('@stdlib/stats/base/dists/laplace/quantile');
+var logpdf = require('@stdlib/stats/base/dists/laplace/logpdf');
+var laplaceConstructor = require('@stdlib/stats/base/dists/laplace/ctor');
+
+console.log(objectKeys(laplace));
+
+var laplaceDist = new laplaceConstructor(4.0, 2.0);
+
+console.log(laplaceDist.mu);
+// => 4.0
+
+console.log(laplaceDist.b);
+// => 2.0
+
+laplaceDist.mu = 6.0;
+laplaceDist.b = 3.0;
+
+console.log(laplaceDist.mu);
+// => 6.0
+
+console.log(laplaceDist.b);
+// => 3.0
+
+console.log(laplaceDist.kurtosis);
+// => 3.0
+
+console.log(laplaceDist.median);
+// => 6.0
+
+console.log(laplaceDist.variance);
+// => 18.0
+
+var mu = 4.0;
+var b = 2.0;
+
+console.log(laplace.pdf(2.0, mu, b));
+// => ~ 0.092
+
+console.log(laplace.cdf(2.0, mu, b));
+// => ~ 0.184
+
+console.log(laplace.quantile(0.5, mu, b));
+// => 4.0
+
+console.log(laplace.mgf(0.5, mu, b));
+// => NaN
+
+mu = 6.0;
+b = 3.0;
+
+console.log(laplace.entropy(mu, b));
+// => ~ 2.7918
+
+console.log(laplace.mean(mu, b));
+// => 6.0
+
+console.log(laplace.median(mu, b));
+// => 6.0
+
+console.log(laplace.mode(mu, b));
+// => 6.0
+
+console.log(laplace.variance(mu, b));
+// => 18.0
+
+console.log(laplace.skewness(mu, b));
+// => 0.0
+
+var myquantile = quantile.factory(10.0, 2.0);
+
+console.log(myquantile(0.2));
+// => ~ 8.167
+
+console.log(myquantile(0.8));
+// => ~ 11.833
+
+var mylogpdf = logpdf.factory(10.0, 2.0);
+
+console.log(mylogpdf(10.0));
+// => ~ -1.386
+
+console.log(mylogpdf(5.0));
+// => ~ -3.886
 
-console.log( objectKeys( laplace ) );