com.numericalmethod.suanshu.stats.regression.linear.glm.quasi.family

Class Binomial

java.lang.Object

com.numericalmethod.suanshu.stats.regression.linear.glm.distribution.Family

com.numericalmethod.suanshu.stats.regression.linear.glm.distribution.Binomial

com.numericalmethod.suanshu.stats.regression.linear.glm.quasi.family.Binomial

All Implemented Interfaces:

ExponentialDistribution, QuasiFamily, java.io.Serializable

public class Binomial
extends Binomial
implements QuasiFamily

The quasi Binomial family of GLM.

The R equivalent function is quasibinomial.

See Also:

Serialized Form

Constructor Summary

Constructors

Constructor and Description
Binomial() Construct an instance of Binomial.
Binomial(LinkFunction link) Construct an instance of Binomial with an overriding link function.

Method Summary

Modifier and Type	Method and Description
double	quasiDeviance(double y, double mu) the quasi-deviance function corresponding to a single observation
double	quasiLikelihood(double mu, double y) the quasi-likelihood function corresponding to a single observation Q(μ; y)
Family	toFamily()

Methods inherited from class com.numericalmethod.suanshu.stats.regression.linear.glm.distribution.Binomial

AIC, cumulant, deviance, dispersion, overdispersion, theta, variance

Methods inherited from class com.numericalmethod.suanshu.stats.regression.linear.glm.distribution.Family

link

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Methods inherited from interface com.numericalmethod.suanshu.stats.regression.linear.glm.quasi.family.QuasiFamily

link

Methods inherited from interface com.numericalmethod.suanshu.stats.regression.linear.glm.distribution.ExponentialDistribution

AIC, cumulant, deviance, dispersion, overdispersion, theta, variance

Constructor Detail

Binomial

public Binomial()

Construct an instance of Binomial. The canonical link is Logit.

See Also:

"pp.32. Section 2.2.4. Measuring the goodness-of-fit. Generalized Linear Models. 2nd ed. P. J. MacCullagh and J. A. Nelder."

Binomial

public Binomial(LinkFunction link)

Construct an instance of Binomial with an overriding link function.

Parameters:

link - the overriding link function

Method Detail

quasiLikelihood

public double quasiLikelihood(double mu,
                              double y)

Description copied from interface: QuasiFamily

the quasi-likelihood function corresponding to a single observation Q(μ; y)

Specified by:

quasiLikelihood in interface QuasiFamily

Parameters:

mu - μ

y - y

Returns:

Q(μ; y)

See Also:

"P. J. MacCullagh and J. A. Nelder, Generalized Linear Models, 2nd ed. Chapter 9. Table 9.1. p.326."

quasiDeviance

public double quasiDeviance(double y,
                            double mu)

Description copied from interface: QuasiFamily

the quasi-deviance function corresponding to a single observation

Specified by:

quasiDeviance in interface QuasiFamily

Parameters:

y - y

mu - μ

Returns:

D(y; μ;)

See Also:

"P. J. MacCullagh and J. A. Nelder, Generalized Linear Models, 2nd ed. Chapter 9. Eq. 9.4., the integral form, p.327."

toFamily

public Family toFamily()

Specified by:

toFamily in interface QuasiFamily