We may use three separate sequences of pseudorandom numbers or simply take numbers from one sequence three at a time.
c. Alternate integration regions
i) 
ii) Suppose the integration region is not rectangular. Then an extra step is needed, to test for and discard random points that fall outside the integration region.
e.g., a circle—discard points for which  , as shown in the following diagram.
Why do it this way; to ensure that the points are uniformly distributed in all directions. If points are taken uniformly distributed in the radius, the points will be more widely spread the further out from the center they lie, not uniformly spread over the area of the circle.
Share with your friends: |
