mapping | R Documentation |
Bivariate copulas: mapping of Kendall's tau and copula parameter.
par2tau(copulaname, cpar) tau2par(copulaname, tau)
copulaname |
Choices are “bvn” for BVN, “bvtν” with ν = \{1, …, 9\} degrees of freedom for t-copula, “frk” for Frank, “gum” for Gumbel, “rgum” for reflected Gumbel, “1rgum” for 1-reflected Gumbel, “2rgum” for 2-reflected Gumbel, “joe” for Joe, “rjoe” for reflected Joe, “1rjoe” for 1-reflected Joe, “2rjoe” for 2-reflected Joe, “BB1” for BB1, “rBB1” for reflected BB1, “BB7” for BB7, “rBB7” for reflected BB7, “BB8” for BB8, “rBB8” for reflected BB8, “BB10” for BB10, “rBB10” for reflected BB10. |
cpar |
Copula parameter(s). |
tau |
Kendall's tau. |
Kendall's tau or copula parameter.
Joe H (1997) Multivariate Models and Dependence Concepts. Chapman & Hall, London.
Joe H (2014) Dependence Modeling with Copulas. Chapman & Hall, London.
Joe H (2014) CopulaModel: Dependence Modeling with Copulas. Software for book: Dependence Modeling with Copulas, Chapman & Hall, London 2014.
# 1-param copulas #BVN copula cpar.bvn = tau2par("bvn", 0.5) tau.bvn = par2tau("bvn", cpar.bvn) #Frank copula cpar.frk = tau2par("frk", 0.5) tau.frk = par2tau("frk", cpar.frk) #Gumbel copula cpar.gum = tau2par("gum", 0.5) tau.gum = par2tau("gum", cpar.gum) #Joe copula cpar.joe = tau2par("joe", 0.5) tau.joe = par2tau("joe", cpar.joe) # 2-param copulas #BB1 copula tau.bb1 = par2tau("bb1", c(0.5,1.5)) #BB7 copula tau.bb7 = par2tau("bb7", c(1.5,1)) #BB8 copula tau.bb8 = par2tau("bb8", c(3,0.8)) #BB10 copula tau.bb10 = par2tau("bb10", c(3,0.8))
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