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boost::accumulators::impl::kurtosis_impl — Kurtosis estimation.
// In header: <boost/accumulators/statistics/kurtosis.hpp> template<typename Sample> struct kurtosis_impl : public { // types typedef ; // construct/copy/destruct (); // public member functions template<typename Args> () ; template<typename Archive> (, ); };
The kurtosis of a sample distribution is defined as the ratio of the 4th central moment and the square of the 2nd central moment (the variance) of the samples, minus 3. The term is added in order to ensure that the normal distribution has zero kurtosis. The kurtosis can also be expressed by the simple moments:
where are the
-th moment and
the mean (first moment) of the
samples.