Fitting a truncated normal (Gaussian) distribution

How to fit a truncated distribution
Updated 8 Feb 2018

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Matlab does not allow to say that a distribution which we fit to a dataset is truncated.
In case of a Gaussian distribution, Matlab just calculates the mean and sigma and uses them as the paramters of a pdf, but this does not work if the distribution is cutted from one side, e.g. when you don't have measurements less than some detection limit. Then fitted distribution will be shifted.
Here I give an small example how to perform fitting in this case.

Cite As

Alex Ryabov (2024). Fitting a truncated normal (Gaussian) distribution (, MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2017a
Compatible with any release
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Version Published Release Notes

Now the function can fit distributions truncated either on the left or on the right or both sides
updated the figure

I converted script to a function
Script was converted to a function