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// OpenMS -- Open-Source Mass Spectrometry
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// ETH Zurich, and Freie Universitaet Berlin 2002-2013.
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// $Maintainer: Clemens Groepl $
// $Authors: $
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#ifndef OPENMS_MATH_STATISTICS_ASYMMETRICSTATISTICS_H
#define OPENMS_MATH_STATISTICS_ASYMMETRICSTATISTICS_H
#include <OpenMS/CONCEPT/Types.h>
#include <OpenMS/MATH/STATISTICS/BasicStatistics.h>
#include <vector>
#include <ostream>
#include <cmath>
namespace OpenMS
{
namespace Math
{
/**
@brief Internal class for asymmetric distributions
Internal class for asymmetric distributions
used for consistency with BasisStatistic class
*/
template <typename Real = DoubleReal>
class AsymmetricStatistics :
public BasicStatistics<Real>
{
/// The real type and basic statistics specified as template argument.
typedef BasicStatistics<Real> Base;
typedef typename Base::RealType RealType;
using Base::clear;
using Base::sum_;
using Base::mean_;
using Base::variance_;
public:
/// Default constructor.
AsymmetricStatistics() :
BasicStatistics<>(),
variance1_(0),
variance2_(0)
{}
/// "variance to the left hand side"
RealType variance1() const
{
return variance1_;
}
/// "variance to the right hand side"
RealType variance2() const
{
return variance2_;
}
/// You can call this as often as you like, using different input vectors.
template <typename ProbabilityIterator, typename CoordinateIterator>
void update(ProbabilityIterator const probability_begin,
ProbabilityIterator const probability_end,
CoordinateIterator const coordinate_begin)
{
// reuse...
Base::update(probability_begin, probability_end, coordinate_begin);
const RealType stdev = std::sqrt(variance_);
RealType sum1 = 0;
RealType sum2 = 0;
variance1_ = 0;
variance2_ = 0;
ProbabilityIterator prob_iter = probability_begin;
CoordinateIterator coord_iter = coordinate_begin;
for (; prob_iter != probability_end; ++prob_iter, ++coord_iter)
{
RealType diff = *coord_iter - mean_;
RealType diff_squared = diff * diff;
if (diff_squared > variance_)
{
if (*coord_iter < mean_)
{
variance1_ += (*prob_iter * diff_squared);
sum1 += *prob_iter;
}
else // ( *coord_iter > mean_ )
{
variance2_ += (*prob_iter * diff_squared);
sum2 += *prob_iter;
}
}
else
{
RealType frac = (diff / stdev + 1.) / 2.;
RealType prob_frac = frac * *prob_iter;
variance2_ += prob_frac * diff_squared;
sum2 += prob_frac;
prob_frac = *prob_iter * (1. - frac);
variance1_ += prob_frac * diff_squared;
sum1 += prob_frac;
}
}
variance1_ /= sum1;
variance2_ /= sum2;
return;
}
protected:
/// @name Protected Members
RealType variance1_, variance2_;
};
} // namespace Math
} // namespace OpenMS
#endif // OPENMS_MATH_STATISTICS_ASYMMETRICSTATISTICS_H
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