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How to find a probability density function please?

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Avan Al-Saffar
Avan Al-Saffar on 11 May 2015
Closed: MATLAB Answer Bot on 20 Aug 2021
I have the following system :
dxdt = A.*x.^2 ;
how can I find a PDF for this system for different values of A and t = 0:0.1:100?
Regards

Answers (1)

Torsten
Torsten on 11 May 2015
What do you want to be stochastic in the above ODE ?
Best wishes
Torsten.
  9 Comments
Torsten
Torsten on 12 May 2015
You can use ksdensity, but if you use enough random numbers for A0, a histogram will give you the same quality for the pdf.
Normfit, normpdf etc. can not be used because even if you assume that A0 is normally distributed, x(t,A0) usually won't.
You will have to find out what distribuion x(t,A0) follows if you assume a certain distribution type for A0.
Best wishes
Torsten.

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