Boost
C++ Libraries
...one of the most highly
regarded and expertly designed C++ library projects in the
world.
— Herb Sutter and Andrei
Alexandrescu, C++
Coding Standards
Boost
C++ Libraries
...one of the most highly
regarded and expertly designed C++ library projects in the
world.
— Herb Sutter and Andrei
Alexandrescu, C++
Coding Standards
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:
where 
are the 
-th moment and 
the mean (first moment) of the 
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.
