probability distribution function from datra

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]

i find a analytical solution of pdf !

George

Answer 1

[george veropoulos]

thank you

Answer 2

[Shantanu Dixit]

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:

• www.mathworks.com/help/stats/ksdensity.html