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. Author manuscript; available in PMC: 2012 Aug 1.
Published in final edited form as: Neuroimage. 2011 May 12;57(3):979–990. doi: 10.1016/j.neuroimage.2011.05.017

Table A-II. Simulation data: Error of DX(x).

Errors obtained from simulation data of different orders of the derivative. Errors presented at Table A-II for simulation data agree with those theoretical results presented at Table A-I above.

f (x) Simulated random data D1(x) D1.3(x) D1.5(x) D1.7(x) D2(x)
Variance 1.0244 2.0713 2.836 3.531 4.423 6.255
Standard Deviation 1.0121 1.4392 1.684 1.879 2.103 2.5