How would you model this function /sci/? f(0)=0 f(100)=0 f(10)=1250

looks kinda like
f(x) = Ax e^(-Bx)
screw around with different values of A and B until it looks about right

>>9081556
probably a gamma distribution

>>9081556
>>9081556

You have three points; you can fit them to a degree-2 polynomial.

Your points are as follows:
(0,0)
(10,1250)
(100,0)

Explicitly, you can just model your desired polynomial in a linear form to obtain a closed form:

f(x) = a + bx + cx^2

With your three points, this yields

0 = a + 0 + 0
1250 = a + 10b + 100c
0 = a + 100b + 10000c

Which is a fully determined linear system. Solve for a,b,c and c, plug them in as your constants in f(x), and have fun with whatever you're doing.

>>9081576

You can also iteratively improve your fit by sampling more points from the curve in your image and increasing the degree of your polynomial.

>>9081565
It actually appears to be a log normal distribution.
Now I only need to find the parameters, I can't find the way to find the maximum given the two parameters (density and average).

>>9081576
I will try that, thanks.

>>9081556
Sample more, and see if it fits a chi square distribution.

>>9081580
You mean MLE?

>>9081576
Sorry, no, this doesn't work. (10,1250) is supposed to be the maximum, but this goes way beyond that. Sure I could do a Taylor but fuck that shit, I want to find what this distribution is without having to use such dirty tricks.

>>9081592
Doesn't look like chi square, but more like log normal.

>>9081600
No idea
https://en.wikipedia.org/wiki/Log-normal_distribution

>>9081606
I mean, if you want a quick and dirty method, you could just unlog it, then it's easy because it should be a normal distribution.

But statisticians would wag their fingers.

>>9081556
It looks like the absolute value of a potential function.