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boost::accumulators::impl::skewness_impl — Skewness estimation.
// In header: <boost/accumulators/statistics/skewness.hpp> template<typename Sample> struct skewness_impl { // types typedef numeric::functional::average< Sample, Sample >::result_type result_type; // construct/copy/destruct skewness_impl(dont_care); // public member functions template<typename Args> result_type result(Args const &) const; };
The skewness of a sample distribution is defined as the ratio of the 3rd central moment and the -th power of the 2nd central moment (the variance) of the sampless 3. The skewness can also be expressed by the simple moments:
where are the -th moment and the mean (first moment) of the samples.