This function simulates from a given parametric bivariate copula.
BiCopSim(N, family, par, par2 = 0, obj = NULL, check.pars = TRUE)
Number of bivariate observations simulated.
integer; single number or vector of size N
; defines the
bivariate copula family: 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)
numeric; single number or vector of size N
; copula
parameter.
numeric; single number or vector of size N
; second
parameter for bivariate copulas with two parameters (t, BB1, BB6, BB7, BB8,
Tawn type 1 and type 2; default: par2 = 0
). par2
should be a
positive integer for the Students's t copula family = 2
.
BiCop
object containing the family and parameter
specification.
logical; default is TRUE
; if FALSE
, checks
for family/parameter-consistency are omitted (should only be used with
care).
An N
x 2 matrix of data simulated from the bivariate copula
with family
and parameter(s) par
, par2
.
If the family and parameter specification is stored in a BiCop()
object obj
, the alternative version
BiCopSim(N, obj)
can be used.
# simulate from a bivariate t-copula
simdata <- BiCopSim(100, 2, -0.7, par2 = 4)
# or alternatively
obj <- BiCop(family = 2, par = -0.7, par2 = 4)
simdata2 <- BiCopSim(100, obj)