Compute the kurtosis of standard Gaussian distribution


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

kurtosis0

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

Image

The fourth central moment is

kurtosis2

Therefore, the kurtosis is

Image

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

4 thoughts on “Compute the kurtosis of standard Gaussian distribution

  1. Pingback: In-focus Region Detection Using Harmonic Variance of DCT Band-passed Filtering | Feng Li's Homepage (李冯)

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