LinkFunction Class

Represents a link function in a GeneralizedLinearModel.

Definition

Namespace: Extreme.Statistics
Assembly: Extreme.Numerics (in Extreme.Numerics.dll) Version: 8.1.23

public abstract class LinkFunction

Visual Basic

Public MustInherit Class LinkFunction

C++/CLI

public ref class LinkFunction abstract

[<AbstractClassAttribute>]
type LinkFunction = class end

Inheritance: Object → LinkFunction

Remarks

Use an instance of the LinkFunction class to define the relationship between the dependent variable and the linear combination of predictor variables in a GeneralizedLinearModel. Each ModelFamily has a canonical link function that is used if no link function is specified.

The instance members of this class are used by the GeneralizedLinearModel class and are of little interest to end users. Instead, set the LinkFunction property of the GeneralizedLinearModel class to the appropriate field or method result. The following predefined link functions are available:

Member	Description
Identity	The identity function. This is the canonical link function for the normal family.
Log	The natural logarithn. This is the canonical link function for the Poisson family.
Logit	The logit function. This is the canonical link function for the binomial family (logistic regression).
Probit	The cumulative normal distribution function. This is used with the binomial family in probit regression.
ComplementaryLogLog	The complementary log-log function.
Reciprocal	The reciprocal (1 / x) function. This is the canonical link function for the gamma family.
ReciprocalSquared	The square of the reciprocal function.
Identity	The identity function. This is the canonical link function for the normal family.
Identity	The identity function. This is the canonical link function for the normal family.
Identity	The identity function. This is the canonical link function for the normal family.
Identity	The identity function. This is the canonical link function for the normal family.
Identity	The identity function. This is the canonical link function for the normal family.

Constructors

LinkFunction

Initializes a new instance of the LinkFunction class

Methods

DerivativeAt	Evaluates the derivative of the link function.
Equals	Determines whether the specified object is equal to the current object. (Inherited from Object)
Finalize	Allows an object to try to free resources and perform other cleanup operations before it is reclaimed by garbage collection. (Inherited from Object)
FromName	Returns the link function by its name.
GetHashCode	Serves as the default hash function. (Inherited from Object)
GetType	Gets the Type of the current instance. (Inherited from Object)
Inverse	Evaluates the inverse of the link function.
MapInto	Evaluates the link function for a set of values.
MemberwiseClone	Creates a shallow copy of the current Object. (Inherited from Object)
NegativeBinomial	Returns the negative binomial link function for the specified parameter value.
OddsPower	Returns a link function that uses an odds power ratio.
Power	Returns the power link function for the specified exponent.
SecondDerivativeAt	Evaluates the second derivative of the link function.
ToString	Returns a string that represents the current object. (Inherited from Object)
ValueAt	Evaluates the link function.

Fields

ComplementaryLogLog	Returns the complementary log-log link function.
Identity	Returns the identity link function.
Log	Returns the log-link function.
LogComplement	Returns the complement of the log link function.
Logit	Returns the logit-link function.
NegativeLogLog	Returns the negative log log link function.
Probit	Returns the probit-link function.
Reciprocal	Returns the reciprocal link function.
ReciprocalSquared	Returns the reciprocal squared link function.