How to find a probability density function please?

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Avan Al-Saffar 2015-5-11

关闭： MATLAB Answer Bot 2021-8-20

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

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Torsten 2015-5-11

What do you want to be stochastic in the above ODE ?

Best wishes

Torsten.

Avan Al-Saffar 2015-5-11

But what is about the following commands please?

- ksdensity(x)

- [muhat,sigmahat] = normfit(x);

                   y = normpdf(x,muhat,sigmahat);
                                      plot(x,y,'r')

- a = pdf('Normal',x,mu,sigma);

I found them while I was looking for some help through different websites.

Torsten 2015-5-12

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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