bcs: Methods for "bcs" objects

In rdmatheus/BCNSM: Multivariate Box-Cox Symmetric Distributions Generated by a Normal Scale Mixture Copula

Methods for 'bcs' objects

Description

Methods for 'bcs' objects

Usage

bcs(object, ...)

## Default S3 method:
bcs(object, ...)

as.bcs(object)

## S3 method for class 'bcs'
print(x, ...)

Arguments

...	further arguments passed to or from other methods.
x, object	an object of class 'bcs'.

Details

The class of the Box-Cox symmetric (BCS) distributions was introduced by Ferrari and Fumes (2017). The class includes the Box-Cox t (Rigby and Stasinopoulos, 2006), Box-Cox normal (or Box-Cox Cole-Green; Cole and Green, 1992), Box-Cox power exponential (Rigby and Stasinopoulos, 2004) distributions, and the class of the log-symmetric distributions (Vanegas and Paula, 2016) as special cases. The current available BCS distributions can be seen below.

Distribution	Abbreviation	N. of parameters
Box-Cox Cauchy	"bcca"	3
Box-Cox Hyperbolic	"bchp"	4
Box-Cox Laplace	"bcla"	3
Box-Cox Type I Logistic	"bcloi"	3
Box-Cox Type II Logistic	"bcloii"	3
Box-Cox Normal	"bcno"	3
Box-Cox Power exponential	"bcpe"	4
Box-Cox Slash	"bcsl"	4
Box-Cox t	"bct"	4

Log-symmetric special cases are also available:

Distribution	Abbreviation	N. of parameters
Log-Cauchy	"lca"	2
Log-Hyperbolic	"lhp"	3
Log-Laplace	"lla"	2
Log-Type I Logistic	"lloi"	2
Log-Type II Logistic	"lloii"	2
Log-Normal	"lno"	2
Log-Power exponential	"lpe"	3
Log-Slash	"lsl"	3
Log-t	"lt"	3

Author(s)

Rodrigo M. R. de Medeiros <[e-mail]>

References

Cole, T., and Green, P.J. (1992). Smoothing reference centile curves: the LMS method and penalized likelihood. Statistics in medicine, 11, 1305-1319.

Rigby, R. A., and Stasinopoulos, D. M. (2004). Smooth centile curves for skew and kurtotic data modelled using the Box-Cox power exponential distribution. Statistics in medicine, 23, 3053-3076.

Rigby, R. A., and Stasinopoulos, D. M. (2006). Using the Box-Cox t distribution in GAMLSS to model skewness and kurtosis. Statistical Modelling, 6, 209-229.

Vanegas, L. H., and Paula, G. A. (2016). Log-symmetric distributions: statistical properties and parameter estimation. Brazilian Journal of Probability and Statistics, 30, 196-220.

Ferrari, S. L., and Fumes, G. (2017). Box-Cox symmetric distributions and applications to nutritional data. AStA Advances in Statistical Analysis, 101, 321-344.

Examples

bcs("bcno")
bcs("lno")

bcs("bct")
bcs("lt")

rdmatheus/BCNSM documentation built on Feb. 8, 2024, 1:28 a.m.