Isis Developer Reference
Isis::GaussianDistribution Class Reference

gaussian distribution class More...

#include <GaussianDistribution.h>

Inheritance diagram for Isis::GaussianDistribution:
Inheritance graph
Collaboration diagram for Isis::GaussianDistribution:
Collaboration graph

Public Member Functions

 GaussianDistribution (const double mean=0.0, const double standardDeviation=1.0)
 Constructs a gaussian distribution object.
 
 ~GaussianDistribution ()
 
double Probability (const double value)
 Computes and returns the probability of the specified value on the gaussian distribution.
 
double CumulativeDistribution (const double value)
 Computes and returns the cumulative distribution up to the specified value on the gaussian distribution.
 
double InverseCumulativeDistribution (const double percent)
 Computes and returns the inverse cumulative distribution evaluated at the specified percentage value on the gaussian distribution.
 
double Mean () const
 Returns the mean.
 
double StandardDeviation () const
 Returns the standard deviation.
 
void Reset ()
 Reset all accumulators and counters to zero.
 
void AddData (const double *data, const unsigned int count)
 Add an array of doubles to the accumulators and counters.
 
void AddData (const double data)
 Add a double to the accumulators and counters.
 
void RemoveData (const double *data, const unsigned int count)
 Remove an array of doubles from the accumulators and counters.
 
void RemoveData (const double data)
 
void SetValidRange (const double minimum=Isis::ValidMinimum, const double maximum=Isis::ValidMaximum)
 
double ValidMinimum () const
 
double ValidMaximum () const
 
bool InRange (const double value)
 
bool AboveRange (const double value)
 
bool BelowRange (const double value)
 
double Average () const
 Computes and returns the average.
 
double Variance () const
 Computes and returns the variance.
 
double Sum () const
 Returns the sum of all the data.
 
double SumSquare () const
 Returns the sum of all the squared data.
 
double Rms () const
 Computes and returns the rms.
 
double Minimum () const
 Returns the absolute minimum double found in all data passed through the AddData method.
 
double Maximum () const
 Returns the absolute maximum double found in all data passed through the AddData method.
 
double ChebyshevMinimum (const double percent=99.5) const
 This method returns a minimum such that X percent of the data will fall with K standard deviations of the average (Chebyshev's Theorem).
 
double ChebyshevMaximum (const double percent=99.5) const
 This method returns a maximum such that X percent of the data will fall with K standard deviations of the average (Chebyshev's Theorem).
 
double BestMinimum (const double percent=99.5) const
 This method returns the better of the absolute minimum or the Chebyshev minimum.
 
double BestMaximum (const double percent=99.5) const
 This method returns the better of the absolute maximum or the Chebyshev maximum.
 
double ZScore (const double value) const
 This method returns the better of the z-score of the given value.
 
BigInt TotalPixels () const
 Returns the total number of pixels processed (valid and invalid).
 
BigInt ValidPixels () const
 Returns the total number of valid pixels processed.
 
BigInt OverRangePixels () const
 Returns the total number of pixels over the valid range encountered.
 
BigInt UnderRangePixels () const
 Returns the total number of pixels under the valid range encountered.
 
BigInt NullPixels () const
 Returns the total number of NULL pixels encountered.
 
BigInt LisPixels () const
 Returns the total number of low instrument saturation (LIS) pixels encountered.
 
BigInt LrsPixels () const
 Returns the total number of low representation saturation (LRS) pixels encountered.
 
BigInt HisPixels () const
 Returns the total number of high instrument saturation (HIS) pixels encountered.
 
BigInt HrsPixels () const
 Returns the total number of high representation saturation (HRS) pixels encountered.
 
BigInt OutOfRangePixels () const
 Returns the total number of pixels outside of the valid range encountered.
 
bool RemovedData () const
 
PvlGroup toPvl (QString name="Statistics") const
 Serialize statistics as a pvl group.
 
void save (QXmlStreamWriter &stream, const Project *project) const
 
QDataStream & write (QDataStream &stream) const
 Order saved must match the offsets in the static compoundH5DataType() method.
 
QDataStream & read (QDataStream &stream)
 

Detailed Description

gaussian distribution class

This class is used to calculate the probability distribution function, the cumulative distribution function, and the inverse cumulative distribution function of a gaussian (or normal) distribution.

Author
2006-05-25 Jacob Danton

Constructor & Destructor Documentation

◆ GaussianDistribution()

Isis::GaussianDistribution::GaussianDistribution ( const double mean = 0.0,
const double standardDeviation = 1.0 )

Constructs a gaussian distribution object.

Parameters
meanThe Distribution's mean
standardDeviationThe Distribution's standard deviation

◆ ~GaussianDistribution()

Isis::GaussianDistribution::~GaussianDistribution ( )
inline

Member Function Documentation

◆ AboveRange()

bool Isis::Statistics::AboveRange ( const double value)
inherited

◆ AddData() [1/2]

void Isis::Statistics::AddData ( const double * data,
const unsigned int count )
inherited

◆ AddData() [2/2]

void Isis::Statistics::AddData ( const double data)
inherited

Add a double to the accumulators and counters.

This method can be invoked multiple times (for example: once for each pixel in a cube) before obtaining statistics.

Parameters
dataThe data to be added to the data set used for statistical calculations.

References Isis::Statistics::AboveRange(), Isis::Statistics::BelowRange(), Isis::IsHisPixel(), Isis::IsHrsPixel(), Isis::IsLisPixel(), Isis::IsLrsPixel(), and Isis::IsNullPixel().

◆ Average()

◆ BelowRange()

bool Isis::Statistics::BelowRange ( const double value)
inherited

◆ BestMaximum()

double Isis::Statistics::BestMaximum ( const double percent = 99.5) const
inherited

This method returns the better of the absolute maximum or the Chebyshev maximum.

The better value is considered the value closest to the mean.

Parameters
percentThe probability that the maximum is within K standard deviations of the mean (Used to compute the Chebyshev maximum). Default value = 99.5.
Returns
Best of absolute and Chebyshev maximums
See also
Statistics::Maximum Statistics::ChebyshevMaximum

References Isis::Statistics::ChebyshevMaximum(), Isis::Statistics::Maximum(), Isis::Statistics::Minimum(), and Isis::NULL8.

Referenced by Isis::VisualDisplay::setPixelData(), and Isis::LinearStretchType::setStretch().

◆ BestMinimum()

double Isis::Statistics::BestMinimum ( const double percent = 99.5) const
inherited

This method returns the better of the absolute minimum or the Chebyshev minimum.

The better value is considered the value closest to the mean.

Parameters
percentThe probability that the minimum is within K standard deviations of the mean (Used to compute the Chebyshev minimum). Default value = 99.5.
Returns
Best of absolute and Chebyshev minimums
See also
Statistics::Minimum Statistics::ChebyshevMinimum

References Isis::Statistics::ChebyshevMinimum(), Isis::Statistics::Maximum(), Isis::Statistics::Minimum(), and Isis::NULL8.

Referenced by Isis::VisualDisplay::setPixelData(), and Isis::LinearStretchType::setStretch().

◆ ChebyshevMaximum()

double Isis::Statistics::ChebyshevMaximum ( const double percent = 99.5) const
inherited

This method returns a maximum such that X percent of the data will fall with K standard deviations of the average (Chebyshev's Theorem).

It can be used to obtain a minimum that does not include statistical outliers.

Parameters
percentThe probability that the maximum is within K standard deviations of the mean. Default value = 99.5.
Returns
maximum value excluding statistical outliers
Exceptions
Isis::IException::Message

References _FILEINFO_, Isis::Statistics::Average(), Isis::NULL8, Isis::IException::Programmer, and Isis::Statistics::StandardDeviation().

Referenced by Isis::Statistics::BestMaximum().

◆ ChebyshevMinimum()

double Isis::Statistics::ChebyshevMinimum ( const double percent = 99.5) const
inherited

This method returns a minimum such that X percent of the data will fall with K standard deviations of the average (Chebyshev's Theorem).

It can be used to obtain a minimum that does not include statistical outliers.

Parameters
percentThe probability that the minimum is within K standard deviations of the mean. Default value = 99.5.
Returns
Minimum value (excluding statistical outliers)
Exceptions
Isis::IException::Message

References _FILEINFO_, Isis::Statistics::Average(), Isis::NULL8, Isis::IException::Programmer, and Isis::Statistics::StandardDeviation().

Referenced by Isis::Statistics::BestMinimum().

◆ CumulativeDistribution()

double Isis::GaussianDistribution::CumulativeDistribution ( const double value)

Computes and returns the cumulative distribution up to the specified value on the gaussian distribution.

Parameters
valuethe input value
Returns
The CDF evaluated at the specified value

References Isis::PI.

Referenced by InverseCumulativeDistribution().

◆ HisPixels()

BigInt Isis::Statistics::HisPixels ( ) const
inherited

Returns the total number of high instrument saturation (HIS) pixels encountered.

Returns
The number of HIS pixels (data) processed

Referenced by Isis::Statistics::toPvl().

◆ HrsPixels()

BigInt Isis::Statistics::HrsPixels ( ) const
inherited

Returns the total number of high representation saturation (HRS) pixels encountered.

Returns
The number of HRS pixels (data) processed

Referenced by Isis::Statistics::toPvl().

◆ InRange()

◆ InverseCumulativeDistribution()

double Isis::GaussianDistribution::InverseCumulativeDistribution ( const double percent)

Computes and returns the inverse cumulative distribution evaluated at the specified percentage value on the gaussian distribution.

See also
"Rational Chebyshev Approximations for the Error Function
  • W. J. Cody
http://home.online.no/~pjacklam/notes/invnorm/#The_distribution_function
Parameters
percentThe input percentage value
Returns
The ICDF evaluated at the specified percentage value

References _FILEINFO_, CumulativeDistribution(), Isis::PI, and Isis::IException::Programmer.

◆ LisPixels()

BigInt Isis::Statistics::LisPixels ( ) const
inherited

Returns the total number of low instrument saturation (LIS) pixels encountered.

Returns
The number of LIS pixels (data) processed

Referenced by Isis::Statistics::toPvl().

◆ LrsPixels()

BigInt Isis::Statistics::LrsPixels ( ) const
inherited

Returns the total number of low representation saturation (LRS) pixels encountered.

Returns
The number of LRS pixels (data) processed

Referenced by Isis::Statistics::toPvl().

◆ Maximum()

double Isis::Statistics::Maximum ( ) const
inherited

Returns the absolute maximum double found in all data passed through the AddData method.

If there are no valid pixels, then NULL8 is returned.

Returns
Current maximum value in data set
Exceptions
Isis::IException::MessageThe data set is blank, so the maximum is invalid.

References _FILEINFO_, Isis::NULL8, and Isis::IException::Programmer.

Referenced by Isis::Statistics::BestMaximum(), Isis::Statistics::BestMinimum(), Isis::QnetPointJigsawErrorFilter::filter(), Isis::QnetPointRegistrationErrorFilter::filter(), Isis::GaussianStretch::GaussianStretch(), Isis::ControlNetStatistics::GenerateControlNetStats(), Isis::VisualDisplay::paintPixmap(), Isis::SawtoothStretchType::SawtoothStretchType(), Isis::BinaryStretchType::setStretch(), Isis::CameraStatistics::toPvl(), Isis::Statistics::toPvl(), and Isis::Statistics::ZScore().

◆ Mean()

double Isis::GaussianDistribution::Mean ( ) const
inline

Returns the mean.

Returns
The mean

◆ Minimum()

double Isis::Statistics::Minimum ( ) const
inherited

Returns the absolute minimum double found in all data passed through the AddData method.

If there are no valid pixels, then NULL8 is returned.

Returns
Current minimum value in data set.
Exceptions
Isis::IException::MessageThe data set is blank, so the minimum is invalid.

References _FILEINFO_, Isis::NULL8, and Isis::IException::Programmer.

Referenced by Isis::Statistics::BestMaximum(), Isis::Statistics::BestMinimum(), Isis::GaussianStretch::GaussianStretch(), Isis::ControlNetStatistics::GenerateControlNetStats(), Isis::VisualDisplay::paintPixmap(), Isis::SawtoothStretchType::SawtoothStretchType(), Isis::BinaryStretchType::setStretch(), Isis::CameraStatistics::toPvl(), and Isis::Statistics::toPvl().

◆ NullPixels()

BigInt Isis::Statistics::NullPixels ( ) const
inherited

Returns the total number of NULL pixels encountered.

Returns
The number of NULL pixels (data) processed

Referenced by Isis::Statistics::toPvl().

◆ OutOfRangePixels()

BigInt Isis::Statistics::OutOfRangePixels ( ) const
inherited

Returns the total number of pixels outside of the valid range encountered.

Returns
The number of Out of Range pixels (data) processed

◆ OverRangePixels()

BigInt Isis::Statistics::OverRangePixels ( ) const
inherited

Returns the total number of pixels over the valid range encountered.

Returns
The number of pixels less than the ValidMaximum() processed

Referenced by Isis::Statistics::toPvl().

◆ Probability()

double Isis::GaussianDistribution::Probability ( const double value)

Computes and returns the probability of the specified value on the gaussian distribution.

Parameters
valueThe input value
Returns
The PDF evaluated at the specified value

References Isis::PI.

◆ read()

QDataStream & Isis::Statistics::read ( QDataStream & stream)
inherited

Referenced by Isis::operator>>().

◆ RemoveData() [1/2]

void Isis::Statistics::RemoveData ( const double * data,
const unsigned int count )
inherited

Remove an array of doubles from the accumulators and counters.

Note that is invalidates the absolute minimum and maximum. They will no longer be usable.

Parameters
dataThe data to be removed from data set used for statistical calculations.
countThe number of elements in the data to be removed.
Exceptions
IException::MessageRemoveData is trying to remove data that doesn't exist.

References Isis::Statistics::RemoveData().

Referenced by Isis::Histogram::RemoveData(), Isis::ImageHistogram::RemoveData(), Isis::Statistics::RemoveData(), and Isis::MultivariateStatistics::RemoveData().

◆ RemoveData() [2/2]

◆ RemovedData()

bool Isis::Statistics::RemovedData ( ) const
inherited

◆ Reset()

◆ Rms()

double Isis::Statistics::Rms ( ) const
inherited

Computes and returns the rms.

If there are no valid pixels, then NULL8 is returned.

Returns
The rms (root mean square)

References Isis::NULL8.

◆ save()

void Isis::Statistics::save ( QXmlStreamWriter & stream,
const Project * project ) const
inherited

References Isis::toString().

◆ SetValidRange()

◆ StandardDeviation()

double Isis::GaussianDistribution::StandardDeviation ( ) const
inline

Returns the standard deviation.

Returns
The standard deviation

◆ Sum()

double Isis::Statistics::Sum ( ) const
inherited

Returns the sum of all the data.

Returns
The sum of the data

Referenced by Isis::MultivariateStatistics::Covariance(), Isis::MultivariateStatistics::LinearRegression(), and Isis::Statistics::toPvl().

◆ SumSquare()

double Isis::Statistics::SumSquare ( ) const
inherited

Returns the sum of all the squared data.

Returns
The sum of the squared data

Referenced by Isis::MultivariateStatistics::LinearRegression(), and Isis::Statistics::toPvl().

◆ toPvl()

◆ TotalPixels()

BigInt Isis::Statistics::TotalPixels ( ) const
inherited

Returns the total number of pixels processed (valid and invalid).

Returns
The number of pixels (data) processed

Referenced by Isis::VisualDisplay::paintPixmap(), and Isis::Statistics::toPvl().

◆ UnderRangePixels()

BigInt Isis::Statistics::UnderRangePixels ( ) const
inherited

Returns the total number of pixels under the valid range encountered.

Returns
The number of pixels less than the ValidMinimum() processed

Referenced by Isis::Statistics::toPvl().

◆ ValidMaximum()

double Isis::Statistics::ValidMaximum ( ) const
inherited

◆ ValidMinimum()

double Isis::Statistics::ValidMinimum ( ) const
inherited

◆ ValidPixels()

BigInt Isis::Statistics::ValidPixels ( ) const
inherited

Returns the total number of valid pixels processed.

Only valid pixels are utilized when computing the average, standard deviation, variance, minimum and maximum.

Returns
The number of valid pixels (data) processed

Referenced by Isis::OverlapNormalization::AddOverlap(), Isis::Histogram::Percent(), Isis::Histogram::Skew(), and Isis::Statistics::toPvl().

◆ Variance()

double Isis::Statistics::Variance ( ) const
inherited

Computes and returns the variance.

If there are no valid pixels, then NULL8 is returned.

Returns
The variance

References Isis::NULL8.

Referenced by Isis::Statistics::StandardDeviation(), and Isis::Statistics::toPvl().

◆ write()

QDataStream & Isis::Statistics::write ( QDataStream & stream) const
inherited

Order saved must match the offsets in the static compoundH5DataType() method.

Referenced by Isis::operator<<().

◆ ZScore()

double Isis::Statistics::ZScore ( const double value) const
inherited

This method returns the better of the z-score of the given value.

The z-score is the number of standard deviations the value lies above or below the average.

Parameters
valueThe value to calculate the z-score of.
Returns
z-score

References _FILEINFO_, Isis::Statistics::Average(), Isis::Statistics::Maximum(), Isis::IException::Programmer, Isis::Statistics::StandardDeviation(), and Isis::toString().


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