# probability distribution function from datra

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george veropoulos on 5 Jul 2024
Answered: george veropoulos on 8 Aug 2024 at 10:48
Hi
i have a function Z(h) h1<h<h2 how i cant find a pdf (probability distribution finction ) function for Z
The variable h is unifrormly distributred in range [ h1 h1 ]
thank
George
george veropoulos on 8 Jul 2024
Moved: Star Strider on 13 Jul 2024
i find a analytical solution of pdf !
George

george veropoulos on 8 Aug 2024 at 10:48
thank you

Shantanu Dixit on 8 Aug 2024 at 6:46
Hi George,
You can estimate the probability density function (PDF) using the 'ksdensity' function in MATLAB. This function can be used for kernel density estimation, allowing to estimate PDF from the sample of data.
Here's a brief example of how 'ksdensity' can be used to estimate the PDF of function 'Z(h)' where h is uniformly distributed in (h1,h2).
h1 = 0;
h2 = 1;
Z = @(h) h.^2; %% Example function
numSamples = 1e6;
h_samples = h1 + (h2 - h1) * rand(numSamples, 1);
Z_samples = Z(h_samples);
[f, xi] = ksdensity(Z_samples, 'Function', 'pdf');
figure;
plot(xi, f, 'LineWidth', 2);
title('Estimated PDF of Z(h) using Kernel Density Estimation');
xlabel('Z');
ylabel('Probability Density');
grid on;
Refer to the below MathWorks documentation for more information regarding 'ksdensity' function: