#include <itkTDistribution.h>
Inheritance diagram for itk::Statistics::TDistribution:
TDistribution provides access to the probability density function (pdf), the cumulative distribution function (cdf), and the inverse cumulative distribution function for a Student-t distribution.
The EvaluatePDF(), EvaluateCDF, EvaluateInverseCDF() methods are all virtual, allowing algorithms to be written with an abstract interface to a distribution (with said distribution provided to the algorithm at run-time). Static methods, not requiring an instance of the distribution, are also provided. The static methods allow for optimized access to distributions when the distribution is known a priori to the algorithm.
TDistributions are univariate. Multivariate versions may be provided under a separate superclass (since the parameters to the pdf and cdf would have to be vectors not scalars).
TDistributions can be used for t tests.
Definition at line 54 of file itkTDistribution.h.
Public Types | |
| typedef SmartPointer< const Self > | ConstPointer |
| typedef Array< double > | ParametersType |
| typedef SmartPointer< Self > | Pointer |
| typedef TDistribution | Self |
| typedef ProbabilityDistribution | Superclass |
Public Member Functions | |
| virtual LightObject::Pointer | CreateAnother () const |
| virtual void | DebugOff () const |
| virtual void | DebugOn () const |
| virtual void | Delete () |
| virtual double | EvaluateCDF (double x, long degreesOfFreedom) const |
| virtual double | EvaluateCDF (double x, const ParametersType &) const |
| virtual double | EvaluateCDF (double x) const |
| virtual double | EvaluateInverseCDF (double p, long degreesOfFreedom) const |
| virtual double | EvaluateInverseCDF (double p, const ParametersType &) const |
| virtual double | EvaluateInverseCDF (double p) const |
| virtual double | EvaluatePDF (double x, long degreesOfFreedom) const |
| virtual double | EvaluatePDF (double x, const ParametersType &) const |
| virtual double | EvaluatePDF (double x) const |
| Command * | GetCommand (unsigned long tag) |
| bool | GetDebug () const |
| virtual long | GetDegreesOfFreedom () const |
| virtual double | GetMean () const |
| const MetaDataDictionary & | GetMetaDataDictionary (void) const |
| MetaDataDictionary & | GetMetaDataDictionary (void) |
| virtual unsigned long | GetMTime () const |
| virtual const char * | GetNameOfClass () const |
| virtual unsigned long | GetNumberOfParameters () const |
| virtual const ParametersType & | GetParameters () |
| virtual int | GetReferenceCount () const |
| virtual double | GetVariance () const |
| virtual bool | HasMean () const |
| bool | HasObserver (const EventObject &event) const |
| virtual bool | HasVariance () const |
| void | InvokeEvent (const EventObject &) const |
| void | InvokeEvent (const EventObject &) |
| virtual void | Modified () const |
| void | Print (std::ostream &os, Indent indent=0) const |
| virtual void | Register () const |
| void | RemoveAllObservers () |
| void | RemoveObserver (unsigned long tag) |
| void | SetDebug (bool debugFlag) const |
| Set the parameters of the distribution See concrete subclasses *for the order of the parameters Subclasses may provide convenience *methods for setting i e | SetDegreesOfFreedom () |
| virtual void | SetDegreesOfFreedom (long) |
| void | SetMetaDataDictionary (const MetaDataDictionary &rhs) |
| Set the parameters of the distribution See concrete subclasses *for the order of the parameters Subclasses may provide convenience *methods for setting i e etc *virtual void | SetParameters (const ParametersType ¶ms) |
| virtual void | SetReferenceCount (int) |
| virtual void | UnRegister () const |
Static Public Member Functions | |
| static void | BreakOnError () |
| static double | CDF (double x, long degreesOfFreedom) |
| static double | CDF (double x, const ParametersType &) |
| static bool | GetGlobalWarningDisplay () |
| static void | GlobalWarningDisplayOff () |
| static void | GlobalWarningDisplayOn () |
| static double | InverseCDF (double p, long degreesOfFreedom) |
| static double | InverseCDF (double p, const ParametersType &) |
| static Pointer | New () |
| static double | PDF (double x, long degreesOfFreedom) |
| static double | PDF (double x, const ParametersType &) |
| This is a global flag that controls whether any warning *or error messages are displayed *static void | SetGlobalWarningDisplay (bool flag) |
Public Attributes | |
| Allow people to add remove invoke observers(callbacks) to any ITK *object.This is an implementation of the subject/observer design *pattern.An observer is added by specifying an event to respond to *and an itk unsigned lon | AddObserver )(const EventObject &event, Command *) const |
| This is a global flag that controls whether any | debug |
| Set the parameters of the distribution See concrete subclasses *for the order of the parameters Subclasses may provide convenience *methods for setting | parameters |
Protected Member Functions | |
| bool | PrintObservers (std::ostream &os, Indent indent) const |
| void | PrintSelf (std::ostream &os, Indent indent) const |
| virtual void | PrintTrailer (std::ostream &os, Indent indent) const |
| TDistribution (void) | |
| virtual | ~TDistribution (void) |
Protected Attributes | |
| ParametersType | m_Parameters |
| int | m_ReferenceCount |
| SimpleFastMutexLock | m_ReferenceCountLock |
| Methods invoked by virtual Print() to print information about the object *including superclasses.Typically not called by the user(use Print()*instead) but used in the hierarchical print process to combine the *output of several classes.*/virtual void PrintSelf(std voi | PrintHeader )(std::ostream &os, Indent indent) const |
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Reimplemented from itk::Statistics::ProbabilityDistribution. Definition at line 62 of file itkTDistribution.h. |
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Type of the parameter vector. Definition at line 78 of file itkProbabilityDistribution.h. |
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Reimplemented from itk::Statistics::ProbabilityDistribution. Definition at line 61 of file itkTDistribution.h. |
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Standard class typedefs Reimplemented from itk::Statistics::ProbabilityDistribution. Definition at line 59 of file itkTDistribution.h. |
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Reimplemented from itk::Statistics::ProbabilityDistribution. Definition at line 60 of file itkTDistribution.h. |
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Definition at line 199 of file itkTDistribution.h. |
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This method is called when itkExceptionMacro executes. It allows the debugger to break on error. |
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Static method to evaluate the cumulative distribution function (cdf) of a Student-t with a specified number of degrees of freedom. The static method provides optimized access without requiring an instance of the class. This is based on Abramowitz and Stegun 26.7.1. Accuracy is approximately 10^-14. |
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Static method to evaluate the cumulative distribution function (cdf) of a Student-t with a specified number of degrees of freedom. The static method provides optimized access without requiring an instance of the class. The degrees of freedom are passed as a parameters vector. This is based on Abramowitz and Stegun 26.7.1. Accuracy is approximately 10^-14. |
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Create an object from an instance, potentially deferring to a factory. This method allows you to create an instance of an object that is exactly the same type as the referring object. This is useful in cases where an object has been cast back to a base class. Reimplemented from itk::LightObject. |
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Turn debugging output off. |
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Turn debugging output on. |
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Delete an itk object. This method should always be used to delete an object when the new operator was used to create it. Using the C delete method will not work with reference counting. |
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Evaluate the cumulative distribution function (cdf). The parameters of the distribution are passed as separate parameters. |
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Evaluate the cumulative distribution function (cdf). The parameters for the distribution are passed as a parameters vector. The ordering of the parameters is (degreesOfFreedom). Implements itk::Statistics::ProbabilityDistribution. |
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Evaluate the cumulative distribution function (cdf). The parameters of the distribution are assigned via SetParameters(). Implements itk::Statistics::ProbabilityDistribution. |
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Evaluate the inverse cumulative distribution function (inverse cdf). Parameter p must be between 0.0 and 1.0. The parameters of the distribution are passed as separate parameters. |
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Evaluate the inverse cumulative distribution function (inverse cdf). Parameter p must be between 0.0 and 1.0. The parameters for the distribution are passed as a parameters vector. The ordering of the parameters is (degrees of freedom). Implements itk::Statistics::ProbabilityDistribution. |
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Evaluate the inverse cumulative distribution function (inverse cdf). Parameter p must be between 0.0 and 1.0. The parameters of the distribution are assigned via SetParameters(). Implements itk::Statistics::ProbabilityDistribution. |
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Evaluate the probability density function (pdf). The parameters of the distribution are passed as separate parameters. |
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Evaluate the probability density function (pdf). The parameters for the distribution are passed as a parameters vector. The ordering of the parameters is (degrees of freedom). Implements itk::Statistics::ProbabilityDistribution. |
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Evaluate the probability density function (pdf). The parameters of the distribution are assigned via SetParameters(). Implements itk::Statistics::ProbabilityDistribution. |
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Get the command associated with the given tag. NOTE: This returns a pointer to a Command, but it is safe to asign this to a Command::Pointer. Since Command inherits from LightObject, at this point in the code, only a pointer or a reference to the Command can be used. |
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Get the value of the debug flag. |
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Get the number of degrees of freedom in the t distribution. Defaults to 1 |
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Get the mean of the distribution. Implements itk::Statistics::ProbabilityDistribution. |
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Strandard macros Reimplemented from itk::Statistics::ProbabilityDistribution. |
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Return the number of parameters. For a univariate Student-t distribution, the number of parameters is 1 (degrees of freedom) Implements itk::Statistics::ProbabilityDistribution. Definition at line 72 of file itkTDistribution.h. |
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Get the parameters of the distribution. See concrete subclasses for the order of parameters. Subclasses may provide convenience methods for setting parameters, i.e. SetDegreesOfFreedom(), etc. |
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Gets the reference count on this object. Definition at line 98 of file itkLightObject.h. |
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Get the variance of the distribution. If the variance does not exist, then quiet_NaN is returned. Implements itk::Statistics::ProbabilityDistribution. |
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Definition at line 100 of file itkObject.h. References itk::Object::SetGlobalWarningDisplay(). |
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Definition at line 98 of file itkObject.h. References itk::Object::SetGlobalWarningDisplay(). |
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Does the Student-t distribution have a mean? Implements itk::Statistics::ProbabilityDistribution. Definition at line 125 of file itkTDistribution.h. |
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Return true if an observer is registered for this event. |
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Does the Student-t distribution have a variance? Variance is only defined for degrees of freedom greater than 2 Implements itk::Statistics::ProbabilityDistribution. |
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Static method to evaluate the inverse cumulative distribution function of a Student-t with a specified number of degrees of freedom. The static method provides optimized access without requiring an instance of the class. Parameter p must be between 0.0 and 1.0. This is based on Abramowitz and Stegun 26.7.5 followed by a few Newton iterations to improve the precision at low degrees of freedom. Accuracy is approximately 10^-10. |
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Static method to evaluate the inverse cumulative distribution function of a Student-t with a specified number of degrees of freedom. The static method provides optimized access without requiring an instance of the class. Parameter p must be between 0.0 and 1.0. The degrees of freedom are passed as a parameters vector. This is based on Abramowitz and Stegun 26.7.5 followed by a few Newton iterations to improve the precision at low degrees of freedom. Accuracy is approximately 10^-10. |
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Call Execute on all the Commands observing this event id. The actions triggered by this call doesn't modify this object. |
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Call Execute on all the Commands observing this event id. |
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Method for creation through the object factory. Reimplemented from itk::Object. |
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Static method to evaluate the probability density function (pdf) of a Student-t with a specified number of degrees of freedom. The static method provides optimized access without requiring an instance of the class. |
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Static method to evaluate the probability density function (pdf) of a Student-t with a specified number of degrees of freedom. The static method provides optimized access without requiring an instance of the class. The degrees of freedom for the distribution are passed in a parameters vector. |
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Cause the object to print itself out. |
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Methods invoked by Print() to print information about the object including superclasses. Typically not called by the user (use Print() instead) but used in the hierarchical print process to combine the output of several classes. Reimplemented from itk::Statistics::ProbabilityDistribution. |
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Increase the reference count (mark as used by another object). Reimplemented from itk::LightObject. |
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Remove all observers . |
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Remove the observer with this tag value. |
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Set the value of the debug flag. A non-zero value turns debugging on. |
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Set the number of degrees of freedom in the Student-t distribution. Defaults to 1 |
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Referenced by itk::Object::GlobalWarningDisplayOff(), and itk::Object::GlobalWarningDisplayOn(). |
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Definition at line 96 of file itkProbabilityDistribution.h. |
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Sets the reference count (use with care) Reimplemented from itk::LightObject. |
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Decrease the reference count (release by another object). Reimplemented from itk::LightObject. |
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Definition at line 94 of file itkObject.h. |
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Definition at line 158 of file itkProbabilityDistribution.h. |
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Number of uses of this object by other objects. Definition at line 119 of file itkLightObject.h. |
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Mutex lock to protect modification to the reference count Definition at line 122 of file itkLightObject.h. |
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Definition at line 91 of file itkProbabilityDistribution.h. |
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1.4.2 written by Dimitri van Heesch,
© 1997-2000