Fitting a truncated normal (Gaussian) distribution

Version 1.2.0.0 (2.2 KB) by Alex Ryabov
How to fit a truncated distribution
4.6
(5)
730 Downloads
Updated 8 Feb 2018

View License

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 (2026). Fitting a truncated normal (Gaussian) distribution (https://www.mathworks.com/matlabcentral/fileexchange/64040-fitting-a-truncated-normal-gaussian-distribution), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2017a
Compatible with any release
Platform Compatibility
Windows macOS Linux
Tags Add Tags

Version Published Release Notes
1.2.0.0

Now the function can fit distributions truncated either on the left or on the right or both sides
updated the figure
1.1.0.0

I converted script to a function
Script was converted to a function
1.0.0.0

--