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. Author manuscript; available in PMC: 2010 Jan 28.
Published in final edited form as: Entropy (Basel). 2009 Dec 4;11(4):1001. doi: 10.3390/e11041001

Figure 3.

Figure 3

Example results for test case 3. Top panel: The first column shows the exact pdf (black) and four predicted pdf (red, green, blue, magenta) using independent random samples. The x-axis displays the range of the random variable in arbitrary units, while the y-axis is dimensionless. The top and bottom rows respectively show the results using 256 and 1024 random events. The second column is similar to the first, except it shows the result shown in magenta in the first column, and compares it with four additional results for the same sample — but from a different funnel diffusion run (black, red, green and blue). The third column shows 80 different level function moments calculated from the empirical data (x-axis) and from the theoretical prediction (y-axis) as defined in Eqaution 5. Perfect agreement would fall along the red line (y = x). Bottom panel: The same description as the top panel, except that the number of events sampled in the top and bottom rows are respectively 4096 and 1048576.