On Approximating Two Distributions from a Single Complex-Valued Function
William Dana Flanders, George Japaridze
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DOI: 10.4236/am.2010.16058   PDF   HTML     5,152 Downloads   9,585 Views  

Abstract

We consider the problem of approximating two, possibly unrelated probability distributions from a single complex-valued function and its Fourier transform. We show that this problem always has a solution within a specified degree of accuracy, provided the distributions satisfy the necessary regularity conditions. We describe the algorithm and construction of and provide examples of approximating several pairs of distributions using the algorithm.

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W. Flanders and G. Japaridze, "On Approximating Two Distributions from a Single Complex-Valued Function," Applied Mathematics, Vol. 1 No. 6, 2010, pp. 439-445. doi: 10.4236/am.2010.16058.

Conflicts of Interest

The authors declare no conflicts of interest.

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