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.
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can I know how you get 3 for the last term? Is e^(-1/2)*(x^2) integrateable?