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boost::accumulators::impl::weighted_skewness_impl — Skewness estimation for weighted samples.
// In header: <boost/accumulators/statistics_fwd.hpp> template<typename Sample, typename Weight> struct weighted_skewness_impl : public accumulator_base { // construct/copy/destruct weighted_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 samples. The skewness can also be expressed by the simple moments:
-th power $ of the 2nd central moment (the variance) of the samples. The skewness can also be expressed by the simple moments:
where  are the
 are the  -th moment and
-th moment and  the mean (first moment) of the
 the mean (first moment) of the  samples.
 samples.
The skewness estimator for weighted samples is formally identical to the estimator for unweighted samples, except that the weighted counterparts of all measures it depends on are to be taken.