basic_statistics Class Template Reference

Collection of basic statistics such as min, max, mean, variance. More...

#include <basic_statistics.h>

List of all members.

Public Types
typedef FloatType	float_type
typedef std::size_t	size_type
Public Member Functions
	basic_statistics ()
	Default constructor. Some data members are not initialized!
	basic_statistics (af::const_ref< FloatType > values)
	Computation of all statistics.
Public Attributes
std::size_t	n
	Number of values.
FloatType	min
	Minimum of values.
FloatType	max
	Maximum of values.
FloatType	max_absolute
	Maximum of absolute values.
FloatType	sum
	sum(values)
FloatType	mean
	sum(values) / n
FloatType	mean_absolute_deviation_from_mean
	sum(abs(value-mean)) / n
FloatType	biased_variance
	sum((value-mean)**2) / n
FloatType	biased_standard_deviation
	sqrt(sum((value-mean)**2) / n)
FloatType	bias_corrected_variance
	sum((value-mean)**2) / (n-1)
FloatType	bias_corrected_standard_deviation
	sqrt(sum((value-mean)**2) / (n-1))
FloatType	skew
	(sum((value-mean)**3)/n) / (sum((value-mean)**2)/n)**(3/2)
FloatType	kurtosis
	(sum((value-mean)**4)/n) / (sum((value-mean)**2)/n)**2
FloatType	kurtosis_excess
	(sum((value-mean)**4)/n) / (sum((value-mean)**2)/n)**2 - 3

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Detailed Description

template<typename FloatType = double>
class scitbx::math::basic_statistics< FloatType >

Collection of basic statistics such as min, max, mean, variance.

See also: http://mathworld.wolfram.com/Variance.html http://mathworld.wolfram.com/Kurtosis.html

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Constructor & Destructor Documentation

basic_statistics

(

af::const_ref< FloatType >

values

)

[inline]

Computation of all statistics.

The calculations involve two loops over the array of values. The memory requirements are minimal since large temporaries are avoided.

References basic_statistics::bias_corrected_standard_deviation, basic_statistics::bias_corrected_variance, basic_statistics::biased_standard_deviation, basic_statistics::biased_variance, basic_statistics::kurtosis, basic_statistics::kurtosis_excess, basic_statistics::max, basic_statistics::max_absolute, basic_statistics::mean, basic_statistics::mean_absolute_deviation_from_mean, basic_statistics::min, basic_statistics::n, basic_statistics::skew, and basic_statistics::sum.

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

• scitbx/math/basic_statistics.h