Transform C-Vine to R-Vine Structure

Source: R/C2RVine.R

This function transforms a C-vine structure from the package CDVine to the corresponding R-vine structure.

C2RVine(order, family, par, par2 = rep(0, length(family)))

Arguments

order

A d-dimensional vector specifying the order of the root nodes in the C-vine.

family

A d*(d-1)/2 vector of pair-copula families with values
0 = independence copula
1 = Gaussian copula
2 = Student t copula (t-copula)
3 = Clayton copula
4 = Gumbel copula
5 = Frank copula
6 = Joe copula
7 = BB1 copula
8 = BB6 copula
9 = BB7 copula
10 = BB8 copula
13 = rotated Clayton copula (180 degrees; survival Clayton'') \cr `14` = rotated Gumbel copula (180 degrees; survival Gumbel'')
16 = rotated Joe copula (180 degrees; survival Joe'') \cr `17` = rotated BB1 copula (180 degrees; survival BB1'')
18 = rotated BB6 copula (180 degrees; survival BB6'')\cr `19` = rotated BB7 copula (180 degrees; survival BB7'')
20 = rotated BB8 copula (180 degrees; ``survival BB8'')
23 = rotated Clayton copula (90 degrees)
`24` = rotated Gumbel copula (90 degrees)
`26` = rotated Joe copula (90 degrees)
`27` = rotated BB1 copula (90 degrees)
`28` = rotated BB6 copula (90 degrees)
`29` = rotated BB7 copula (90 degrees)
`30` = rotated BB8 copula (90 degrees)
`33` = rotated Clayton copula (270 degrees)
`34` = rotated Gumbel copula (270 degrees)
`36` = rotated Joe copula (270 degrees)
`37` = rotated BB1 copula (270 degrees)
`38` = rotated BB6 copula (270 degrees)
`39` = rotated BB7 copula (270 degrees)
`40` = rotated BB8 copula (270 degrees)
`104` = Tawn type 1 copula
`114` = rotated Tawn type 1 copula (180 degrees)
`124` = rotated Tawn type 1 copula (90 degrees)
`134` = rotated Tawn type 1 copula (270 degrees)
`204` = Tawn type 2 copula
`214` = rotated Tawn type 2 copula (180 degrees)
`224` = rotated Tawn type 2 copula (90 degrees)
`234` = rotated Tawn type 2 copula (270 degrees)

par

A d*(d-1)/2 vector of pair-copula parameters.

par2

A d*(d-1)/2 vector of second pair-copula parameters (optional; default:
par2 = rep(0,length(family))), necessary for the t-, BB1, BB6, BB7, BB8, Tawn type 1 and type 2 copulas.

Value

An RVineMatrix() object.

Author

Ulf Schepsmeier, Eike Brechmann

Examples

# set up C-vine copula model with mixed pair-copulas
d <- 4
dd <- d*(d-1)/2
order <- 1:d
family <- c(1, 2, 3, 4, 7, 3)
par <- c(0.5, 0.4, 2, 1.5, 1.2, 1.5)
par2 <- c(0, 5, 0, 0, 2, 0)

# transform to R-vine matrix notation
RVM <- C2RVine(order, family, par, par2)