September 2017 Update

Task/Van-der-Corput-sequence/Stata/van-der-corput-sequence-1.stata

@@ -0,0 +1,38 @@
+mata
+// 5th term of Van der Corput sequence
+halton(1,1,5)
+  .625
+
+// the first 10 terms of Van der Corput sequence
+halton(10,1)
+            1
+     +---------+
+   1 |     .5  |
+   2 |    .25  |
+   3 |    .75  |
+   4 |   .125  |
+   5 |   .625  |
+   6 |   .375  |
+   7 |   .875  |
+   8 |  .0625  |
+   9 |  .5625  |
+  10 |  .3125  |
+     +---------+
+
+// the first 10 terms of Van der Corput sequence in base 3
+ghalton(10,3,0)
+                  1
+     +---------------+
+   1 |  .3333333333  |
+   2 |  .6666666667  |
+   3 |  .1111111111  |
+   4 |  .4444444444  |
+   5 |  .7777777778  |
+   6 |  .2222222222  |
+   7 |  .5555555556  |
+   8 |  .8888888889  |
+   9 |   .037037037  |
+  10 |  .3703703704  |
+     +---------------+
+
+end

Task/Van-der-Corput-sequence/Stata/van-der-corput-sequence-2.stata

@@ -0,0 +1,13 @@
+clear
+mata
+st_addobs(2500)
+st_addvar("double","x")
+st_addvar("double","y")
+st_addvar("double","z")
+k=1::2500
+st_store(k,1,k)
+st_store(k,2,0.5*runiform(2500,1))
+st_store(k,3,0.5:+0.5*halton(2500,1))
+end
+twoway scatter y x, msize(tiny) color(blue) ///
+    || scatter z x, msize(tiny) color(green)