*f(x)*:

**Moments are measure of probability density**(in general - measure of “shape of a set of points”). The

*n*-th moment

*µn* of a real-valued continuous function

*f(x)* about value

*c* of a probability density function

*f(x)*is defined:

*c*is typically set as the mean of a distribution, then the moments are called “central” moments. If

*c=0*, the moment is called a “raw” moment and is marked as

*µn‘*.

**The zeroth (raw) moment is equal to 1**(total area under the probability density function f(x))

**The first (raw) moment is the mean**

**The second (central) moment is the variance**

*σ^n*) and are marked as

*µ ̃*.

**The third (standardized central) moment is skewness**

**The fourth (standardized central) moment is kurtosis**

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