Date: Dec 7, 2012 1:13 PM
Author: Cristiano
Subject: Which interpolation?

 From a very slow simulation I got y= f(x):
x       y
5	0.8048174
6	0.8194384
...
44	0.9706268
47	0.9724846
...
48765	0.9999756
53765	0.9999776

For every x, I stop the simulation when the confidence interval for y is 
less than 2,5*10^-6 (with 99% of confidence).

I can't calculate all the x's (because the simulation is very slow), so 
I need to interpolate; for example, I don't have y(45) or y(46).

Using the Levenberg-Marquardt Least Squares Fitting, the best equation I 
found gives an error that is too high (about 10^-4 for small x's).

Then I thought to use a cubic spline, but I notice some "fluctuations" 
on the tails.

Should I use LM or spline?

Thanks
Cristiano