# The Skew-Normal and Related Distributions Such as the Skew-t and the SUN

## Documentation for package ‘sn’ version 2.1.3

- DESCRIPTION file.
- User guides, package vignettes and other documentation.
- Package NEWS.

## Help Pages

A B C D E F G J L M O P Q R S T V W Z

sn-package | Package 'sn': overview, background and history

## -- A --

affineTransSECdistr | Affine transformations and marginals of a skew-elliptical distribution
affineTransSUNdistr | Operations on SUNdistr-class objects
ais | Australian Institute of Sport data

## -- B --

barolo | Price of Barolo wine
blockDiag | vech, tr and other matrix operators

## -- C --

coef-method | Coefficients of objects created by 'selm'
coef.fitdistr.grouped | Methods for objects of class created by 'fitdistr.grouped'
coef.mselm | Coefficients of objects created by 'selm'
coef.selm | Coefficients of objects created by 'selm'
conditionalSECdistr | Skew-normal conditional distribution
conditionalSUNdistr | Operations on SUNdistr-class objects
confint-method | Confidence intervals for parameters of a selm-class object
confint.selm | Confidence intervals for parameters of a selm-class object
convertCSN2SUNpar | Conversion of CSN parameters to SUN parameters
convertSN2SUNdistr | Convert a SN distribution into a SUN
convolutionSUNdistr | Operations on SUNdistr-class objects
cp2dp | Conversion between parametrizations of a skew-elliptical distribution

## -- D --

dmsc | Multivariate skew-t distribution and skew-Cauchy distribution
dmsn | Multivariate skew-normal distribution
dmst | Multivariate skew-t distribution and skew-Cauchy distribution
dmSymmModulated | Symmetry-modulated distributions
dp2cp | Conversion between parametrizations of a skew-elliptical distribution
dp2op | Conversion between parametrizations of a skew-elliptical distribution
dsc | Skew-Cauchy Distribution
dsn | Skew-Normal Distribution
dst | Skew-t Distribution
dsun | The Unified Skew-Normal (SUN) probability distribution
dSymmModulated | Symmetry-modulated distributions
duplicationMatrix | vech, tr and other matrix operators

## -- E --

extractSECdistr | Extract the SEC error distribution from an object created by 'selm'

## -- F --

fitdistr.grouped | Maximum-likelihood fitting of a univariate distribution from grouped data
fitdistr.grouped-class | Methods for objects of class created by 'fitdistr.grouped'
fitted-method | Residuals and fitted values from 'selm' fits
fitted.fitdistr.grouped | Methods for objects of class created by 'fitdistr.grouped'
fitted.mselm | Residuals and fitted values from 'selm' fits
fitted.selm | Residuals and fitted values from 'selm' fits
fournum | Four-number summary of a numeric vector
frontier | Simulated sample from a skew-normal distribution

## -- G --

galton2alpha | Mapping of the (Galton-Bowley, Moors) measures to the (alpha, nu) parameters of a ST distribution
galton_moors2alpha_nu | Mapping of the (Galton-Bowley, Moors) measures to the (alpha, nu) parameters of a ST distribution

## -- J --

joinSUNdistr | Operations on SUNdistr-class objects

## -- L --

logLik-method | Classes 'selm' and 'mselm' of objects created by function 'selm'
logLik.fitdistr.grouped | Methods for objects of class created by 'fitdistr.grouped'

## -- M --

makeSECdistr | Build a skew-elliptically contoured distribution
makeSUNdistr | Build an object representing a SUN distribution
marginalSECdistr | Affine transformations and marginals of a skew-elliptical distribution
marginalSUNdistr | Operations on SUNdistr-class objects
mean-method | Class '"SECdistrMv"'
mean-method | Class '"SECdistrUv"'
mean-method | Class '"SUNdistr"' and its methods
mean.SUNdistr | Class '"SUNdistr"' and its methods
modeSECdistr | The mode of a skew-elliptically contoured (SEC) distribution
MPpenalty | Penalty function for log-likelihood of 'selm' models
mselm-class | Classes 'selm' and 'mselm' of objects created by function 'selm'
msn.mle | Fitting functions for 'selm' models
msn.mple | Fitting functions for 'selm' models
mst.mple | Fitting functions for 'selm' models
mst.prelimFit | Compute preliminary estimates for a linear model with ST-distributed error term

## -- O --

op2dp | Conversion between parametrizations of a skew-elliptical distribution
overview-sn | Package 'sn': overview of the structure and main commands

## -- P --

plot-method | Plotting methods for classes 'SECdistrUv' and 'SECdistrMv'
plot-method | Plotting method for class 'SUNdistr'
plot-method | Plot an object generated by 'fitdistr.grouped'
plot-method | Diagnostic plots for 'selm' fits
plot-method | Classes 'selm' and 'mselm' of objects created by function 'selm'
plot.fitdistr.grouped | Plot an object generated by 'fitdistr.grouped'
plot.mselm | Diagnostic plots for 'selm' fits
plot.SECdistr | Plotting methods for classes 'SECdistrUv' and 'SECdistrMv'
plot.SECdistrMv | Plotting methods for classes 'SECdistrUv' and 'SECdistrMv'
plot.SECdistrUv | Plotting methods for classes 'SECdistrUv' and 'SECdistrMv'
plot.selm | Diagnostic plots for 'selm' fits
plot.SUNdistr | Plotting method for class 'SUNdistr'
plot2D.SymmModulated | Symmetry-modulated distributions
pmsc | Multivariate skew-t distribution and skew-Cauchy distribution
pmsn | Multivariate skew-normal distribution
pmst | Multivariate skew-t distribution and skew-Cauchy distribution
pprodn2 | The distribution function of the product of two jointly normal or Student's _t_ variables
pprodt2 | The distribution function of the product of two jointly normal or Student's _t_ variables
predict-method | Predict method for selm-class objects
predict.selm | Predict method for selm-class objects
print.fitdistr.grouped | Methods for objects of class created by 'fitdistr.grouped'
profile-method | Profile log-likelihood function of selm-class objects
profile.selm | Profile log-likelihood function of selm-class objects
psc | Skew-Cauchy Distribution
psn | Skew-Normal Distribution
pst | Skew-t Distribution
psun | The Unified Skew-Normal (SUN) probability distribution

## -- Q --

Qpenalty | Penalty function for log-likelihood of 'selm' models
qprodt2 | The distribution function of the product of two jointly normal or Student's _t_ variables
qsc | Skew-Cauchy Distribution
qsn | Skew-Normal Distribution
qst | Skew-t Distribution

## -- R --

residuals-method | Residuals and fitted values from 'selm' fits
residuals.mselm | Residuals and fitted values from 'selm' fits
residuals.selm | Residuals and fitted values from 'selm' fits
rmsc | Multivariate skew-t distribution and skew-Cauchy distribution
rmsn | Multivariate skew-normal distribution
rmst | Multivariate skew-t distribution and skew-Cauchy distribution
rmSymmModulated | Symmetry-modulated distributions
rsc | Skew-Cauchy Distribution
rsn | Skew-Normal Distribution
rst | Skew-t Distribution
rsun | The Unified Skew-Normal (SUN) probability distribution
rSymmModulated | Symmetry-modulated distributions

## -- S --

sd | Standard deviation
sd-method | Class '"SECdistrUv"'
sd.default | Standard deviation
SECdistrMv-class | Class '"SECdistrMv"'
SECdistrUv-class | Class '"SECdistrUv"'
selm | Fitting linear models with skew-elliptical error term
selm-class | Classes 'selm' and 'mselm' of objects created by function 'selm'
selm.fit | Fitting functions for 'selm' models
show-method | Class '"SECdistrMv"'
show-method | Class '"SECdistrUv"'
show-method | Class '"SUNdistr"' and its methods
show-method | Classes 'selm' and 'mselm' of objects created by function 'selm'
show-method | Classes 'summary.SECdistrMv' and 'summary.SECdistrUv'
show-method | Class 'summary.SUNdistr'
show-method | Summarizing 'selm' fits
show.SUNdistr | Class '"SUNdistr"' and its methods
SN | Package 'sn': overview, background and history
sn.cumulants | Cumulants of univariate skew-normal and skew-t distributions
sn.infoMv | Expected and observed Fisher information for SN and ST distributions
sn.infoUv | Expected and observed Fisher information for SN and ST distributions
sn.mple | Fitting functions for 'selm' models
spread.grouped | Spreading grouped data over intervals
st.cumulants | Cumulants of univariate skew-normal and skew-t distributions
st.infoMv | Expected and observed Fisher information for SN and ST distributions
st.infoUv | Expected and observed Fisher information for SN and ST distributions
st.mple | Fitting functions for 'selm' models
st.prelimFit | Compute preliminary estimates for a linear model with ST-distributed error term
summary-method | Summary of a SEC distribution object
summary-method | Summary of a SUN distribution object
summary-method | Summarizing 'selm' fits
summary.fitdistr.grouped | Methods for objects of class created by 'fitdistr.grouped'
summary.mselm | Summarizing 'selm' fits
summary.mselm-class | Summarizing 'selm' fits
summary.SECdistr | Summary of a SEC distribution object
summary.SECdistrMv | Summary of a SEC distribution object
summary.SECdistrMv-class | Classes 'summary.SECdistrMv' and 'summary.SECdistrUv'
summary.SECdistrUv | Summary of a SEC distribution object
summary.SECdistrUv-class | Classes 'summary.SECdistrMv' and 'summary.SECdistrUv'
summary.selm | Summarizing 'selm' fits
summary.selm-class | Summarizing 'selm' fits
summary.SUNdistr | Summary of a SUN distribution object
summary.SUNdistr-class | Class 'summary.SUNdistr'
SUNdistr-base | The Unified Skew-Normal (SUN) probability distribution
SUNdistr-class | Class '"SUNdistr"' and its methods
SUNdistr-op | Operations on SUNdistr-class objects
sunMardia | The Unified Skew-Normal (SUN) probability distribution
sunMean | The Unified Skew-Normal (SUN) probability distribution
sunVcov | The Unified Skew-Normal (SUN) probability distribution
SymmModulatedDistr | Symmetry-modulated distributions

## -- T --

T.Owen | Owen's function
tr | vech, tr and other matrix operators

## -- V --

vcov-method | Class '"SECdistrMv"'
vcov-method | Class '"SUNdistr"' and its methods
vcov-method | Classes 'selm' and 'mselm' of objects created by function 'selm'
vcov.fitdistr.grouped | Methods for objects of class created by 'fitdistr.grouped'
vcov.SUNdistr | Class '"SUNdistr"' and its methods
vech | vech, tr and other matrix operators
vech2mat | vech, tr and other matrix operators

## -- W --

weights-method | Classes 'selm' and 'mselm' of objects created by function 'selm'
wines | Piedmont wines data

## -- Z --

zeta | Function log(2 Phi(x)) and its derivatives