**'org.apache.commons.math3.stat.descriptive.moment.Kurtosis'**Java class

org.apache.commons.math3.stat.descriptive.moment

## Class Kurtosis

- java.lang.Object
- org.apache.commons.math3.stat.descriptive.AbstractUnivariateStatistic
- org.apache.commons.math3.stat.descriptive.AbstractStorelessUnivariateStatistic
- org.apache.commons.math3.stat.descriptive.moment.Kurtosis

- All Implemented Interfaces:
- Serializable, StorelessUnivariateStatistic, UnivariateStatistic, MathArrays.Function

public class Kurtosisextends AbstractStorelessUnivariateStatisticimplements Serializable

Computes the Kurtosis of the available values.We use the following (unbiased) formula to define kurtosis:

kurtosis = { [n(n+1) / (n -1)(n - 2)(n-3)] sum[(x_i - mean)^4] / std^4 } - [3(n-1)^2 / (n-2)(n-3)]

where n is the number of values, mean is the

`Mean`

and std is the`StandardDeviation`

Note that this statistic is undefined for n < 4.

`Double.Nan`

is returned when there is not sufficient data to compute the statistic.**Note that this implementation is not synchronized.**If multiple threads access an instance of this class concurrently, and at least one of the threads invokes the`increment()`

or`clear()`

method, it must be synchronized externally.- See Also:
- Serialized Form

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