Tukey's Biweight Estimator. More...

#include </scratch/bob/jari/tmp/pristine/yat-0.10.x/yat/statistics/TukeyBiweightEstimator.h>

Public Member Functions
	TukeyBiweightEstimator (double cutoff=4.685, bool sorted=false)
	Constructor.
template<typename RandomAccessIterator >
double	operator() (RandomAccessIterator first, RandomAccessIterator last) const

Detailed Description

Tukey's Biweight Estimator.

Calculates the estimate as a weighted sum

$m = \frac{\sum w_i(1-u_i^2)^2x_i}{\sum w_i(1-u_i^2)^2 }$

where the sums run over data points with |u|<1 and u is calculated as

$u_i = \frac{x_i-m}{k*\textrm{mad}}$

As the estimate \a m also appears on right-hand side, the estimate
is calculated in an iterative manner.

\see regression::TukeyBiweight
\see mad

\since New in yat 0.8

Constructor & Destructor Documentation

theplu::yat::statistics::TukeyBiweightEstimator::TukeyBiweightEstimator	(	double	cutoff = `4.685`,
		bool	sorted = `false`
	)

inlineexplicit

Constructor.

Parameters:

cutoff	defines how close to the center (estimate) a data point needs to be (in terms of MADs) to influence the estimate.
sorted	if true object pressumes input is a sorted range; otherwise object works on a copy of the range which will be sorted.

Member Function Documentation

template<typename RandomAccessIterator >

double theplu::yat::statistics::TukeyBiweightEstimator::operator()	(	RandomAccessIterator	first,
		RandomAccessIterator	last
	)		const

Returns:: Tukey's Biweight Estimate

The documentation for this class was generated from the following file:

/scratch/bob/jari/tmp/pristine/yat-0.10.x/yat/statistics/TukeyBiweightEstimator.h

Public Member Functions

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation