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sn (version 2.1.0)

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

Description

Build and manipulate probability distributions of the skew-normal family and some related ones, notably the skew-t and the SUN families. For the skew-normal and the skew-t distributions, statistical methods are provided for data fitting and model diagnostics, in the univariate and the multivariate case.

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Version

Install

install.packages('sn')

Monthly Downloads

22,931

Version

2.1.0

License

GPL-2 | GPL-3

Maintainer

Adelchi Azzalini

Last Published

August 11th, 2022

Functions in sn (2.1.0)

Class "SUNdistr" and its methods

Penalty function for log-likelihood of selm models

Australian Institute of Sport data

Owen's function

SECdistrMv-class

Class "SECdistrMv"

Price of Barolo wine

SECdistrUv-class

Class "SECdistrUv"

affineTransSECdistr

Affine transformations and marginals of a skew-elliptical distribution

Operations on SUNdistr-class objects

Confidence intervals for parameters of a selm-class object

The Unified Skew-Normal (SUN) probability distribution

Multivariate skew-\(t\) distribution and skew-Cauchy distribution

Coefficients of objects created by selm

Skew-Cauchy Distribution

Skew-Normal Distribution

galton_moors2alpha_nu

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

convertSN2SUNdistr

Convert a SN distribution into a SUN

Build a skew-elliptically contoured distribution

Multivariate skew-normal distribution

vech, tr and other matrix operators

The distribution of the product of two jointly normal or t variables

plot.fitdistr.grouped

Plot an object generated by fitdistr.grouped

Predict method for selm-class objects

Build an object representing a SUN distribution

Diagnostic plots for selm fits

The mode of a skew-elliptically contoured (SEC) distribution

Expected and observed Fisher information for SN and ST distributions

fitdistr.grouped-class

Methods for objects of class created by fitdistr.grouped

Package sn: overview of the structure and main commands

conditionalSECdistr

Skew-normal conditional distribution

fitdistr.grouped

Maximum-likelihood fitting of a univariate distribution from grouped data

Compute preliminary estimates for a linear model with ST-distributed error term

Spreading grouped data over intervals

summary.SECdistrMv-class

Classes summary.SECdistrMv and summary.SECdistrUv

symm-modulated-distr

Symmetry-modulated distributions

Skew-\(t\) Distribution

extractSECdistr

Extract the SEC error distribution from an object created by selm

Package sn: overview, background and history

Plotting methods for classes SECdistrUv and SECdistrMv

convertCSN2SUNpar

Conversion of CSN parameters to SUN parameters

Piedmont wines data

Conversion between parametrizations of a skew-elliptical distribution

summary.SECdistr

Summary of a SEC distribution object

Classes selm and mselm of objects created by function selm

Simulated sample from a skew-normal distribution

summary.SUNdistr-class

Class summary.SUNdistr

plot.SUNdistr-method

Plotting method for class SUNdistr

Profile log-likelihood function of selm-class objects

Four-number summary of a numeric vector

sn-st.cumulants

Cumulants of univariate skew-normal and skew-\(t\) distributions

Standard deviation

Fitting linear models with skew-elliptical error term

Fitting functions for selm models

Residuals and fitted values from selm fits

Function \(\log(2\,\Phi(x))\) and its derivatives

summary.SUNdistr

Summary of a SUN distribution object

Summarizing selm fits