Talk:Constrained random points on a circle: Difference between revisions

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 I'm not very good with stats, but I've seen discussions pop up before about different distributions of points. Is uniform vs normal vs (something?) a significant component of the task? How may it be verified with at most 100 points? --[[User:Short Circuit|Michael Mol]] 12:27, 3 September 2010 (UTC)
-I guess that if you count the number of points that lie on a line that passes through the center, then the count should not depend on the angle of that line. So it would be wrong to simply pick a uniform-random value of x and then a uniform-random of y at that location, because that would tend to lead to a higher density of points on the left and right sides (look at the maximally dense version above: there are 12 possible values of y at x==0; but only one at x == +/- 15). A common mistake when generating a set of linked random variables is that the distribution depends on the order in which they are generated.
+I guess that if you count the number of points that lie on a line that passes through the center, then the count should not depend on the angle of that line. So it would be wrong to simply pick a uniform-random value of x and then a uniform-random of y at that location, because that would tend to lead to a higher density of points on the left and right sides (look at the maximally dense version above: there are 12 possible values of y at x==0; but only one at x == +/- 15) -- and thus a greater number of points away from the x-axis. A common mistake when generating a set of linked random variables is that the distribution depends on the order in which they are generated.
 So, take this Perl code:
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-        # #   ##    #  #
+               # #
+          #    ##    #
-      #   ### #   ####   #
+       #   ## ##  ##   #
+      #        ##  #   #
-          #         #
+         # # # #   #  # #
+      #           # #
-    #                # #
+        ##          #   #
+        #
-     #                 #
+  #                      #
+     #                       #
-  #    #                #  ##
+ ## #                    #
+  #
+ #
-                         #  #
-  #                         #
-  #                          #
-  #                          #
-     #                        #
-    #                       ##
-  #  #
                            #
+ ## #                         #
+  #                        #
+    ##                      #
+                             #
+ #                      #
+       #                #  #
-    #                   #  #
+   #     #
+        ## #      # #
-                        #
+        #     #   #
+     #  # #       ##  #
-      #
+        # #  #      ##
+            #       #
+             # #
-      ##                #
-           ##  ### #  # #
-      ##   #   # #  #
-            # ##   ##
-               ### #
-            #  #
 </pre>