probability distribution function from datra

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george veropoulos
回答： george veropoulos 2024-8-8
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

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george veropoulos
thank you

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Shantanu Dixit
Shantanu Dixit 2024-8-8
Ran in:
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:

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