Compute the kurtosis of standard Gaussian distribution

In this post, we will derive the kurtosis of stand Gaussian distribution


is 3. We use the following equation to calculate the fourth central moment


The fourth central moment is


Therefore, the kurtosis is


For an application of Kurtosis analysis in saliency detection/in-focus segmentation, please refer to our paper and source code.


5 thoughts on “Compute the kurtosis of standard Gaussian distribution

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