C2RVine {VineCopula}

Transform C-Vine to R-Vine Structure

Description

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

Usage

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(s)

Ulf Schepsmeier, Eike Brechmann

See Also

RVineMatrix(), D2RVine()

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)