To determine the source distribution from which the data used to create a specific cumulative distribution function (CDF) was drawn, you can use the Quantile-Quantile (Q-Q) plot.
Here is an example of how to create a Q-Q plot in MATLAB to help you determine the source distribution:
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After running this code, check the Q-Q plot generated. If the points fall roughly in a straight line, it suggests that the data (cdf3 in this case) was drawn from the assumed distribution (e.g., Normal). The Anderson-Darling test result will also provide more information about how good the fit is.
This approach can help you infer the source distribution from which the sample used to plot the cumulative distribution function was drawn in MATLAB.
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