- #1
viraltux
- 250
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Is there a general method to aproximate functions with ratios of polynomies??
Hi All,
There is a variety of methods to approximate functions (Taylor expansions, Fourier series, Splines, Interpolation, ... ) yet, when it comes to approximate some statistical distributions none of these methods seems to be as computationally efficient and accurate as using ratios of polynomials. I know of several of these ratios in the literature to approximate Gaussian distributions, but what I fail to find is a general method to adjust any arbitrary function to ratios of polynomials.
So, do you happen to know if there is a general method to find the ratio of polynomials that better fits a function?
Thank you
Hi All,
There is a variety of methods to approximate functions (Taylor expansions, Fourier series, Splines, Interpolation, ... ) yet, when it comes to approximate some statistical distributions none of these methods seems to be as computationally efficient and accurate as using ratios of polynomials. I know of several of these ratios in the literature to approximate Gaussian distributions, but what I fail to find is a general method to adjust any arbitrary function to ratios of polynomials.
So, do you happen to know if there is a general method to find the ratio of polynomials that better fits a function?
Thank you