Struct template kurtosis_impl

Boost C++ Libraries

Struct template kurtosis_impl

boost::accumulators::impl::kurtosis_impl — Kurtosis estimation.

Synopsis

// In header: <boost/accumulators/statistics/kurtosis.hpp>

template<typename Sample> 
struct kurtosis_impl {
  // types
  typedef numeric::functional::average< Sample, Sample >::result_type result_type;

  // construct/copy/destruct
  kurtosis_impl(dont_care);

  // public member functions
  template<typename Args> result_type result(Args const &) const;
};

Description

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:

Equation 1.2.

where are the -th moment and the mean (first moment) of the samples.

`kurtosis_impl` public construct/copy/destruct

```
kurtosis_impl(dont_care);
```

`kurtosis_impl` public member functions

template<typename Args> result_type result(Args const & args) const;