R-Vine Matrix Check
The given matrix is tested to be a valid R-vine matrix.
RVineMatrixCheck(M)
M |
A dxd vine matrix. |
code |
|
The matrix M do not have to be given in natural order or the diagonal
in order d:1. The test checks if it can be done in order to be a valid
R-vine matrix.
If a function in this package needs the natural order the
RVineMatrix
object is automatically "normalized".
The function
RVineMatrix()
automatically checks if the given R-vine matrix is
valid.
Harry Joe
Joe H, Cooke RM and Kurowicka D (2011). Regular vines: generation algorithm and number of equivalence classes. In Dependence Modeling: Vine Copula Handbook, pp 219–231. World Scientific, Singapore.
A1 <- matrix(c(6, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 3, 4, 4, 0, 0, 0, 4, 3, 3, 3, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1), 6, 6, byrow = TRUE) b1 <- RVineMatrixCheck(A1) print(b1) # improper vine matrix, code=-1 A2 <- matrix(c(6, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 1, 3, 3, 3, 0, 0, 3, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1,1 ), 6, 6, byrow = TRUE) b2 <- RVineMatrixCheck(A2) print(b2) # improper vine matrix, code=-2 A3 <- matrix(c(6, 0, 0, 0, 0, 0, 3, 5, 0, 0, 0, 0, 3, 4, 4, 0, 0, 0, 4, 3, 3, 3, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1), 6, 6, byrow = TRUE) b3 <- RVineMatrixCheck(A3) print(b3)
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