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Bivariate copula densities

Usage

CopulaDens(
  u,
  v,
  family = c("gaussian", "t", "clayton", "gumbel", "frank", "joe", "bb1"),
  theta = 0.5,
  df = 4,
  delta = 1.5
)

Arguments

u, v

Points in (0, 1).

family

"gaussian", "t", "clayton", "gumbel", "frank", "joe" or "bb1" (Joe 2014, sec 4.17; delta = 1 is Clayton, theta to 0 is Gumbel(delta)).

theta

Copula parameter.

df

Degrees of freedom for the t copula.

delta

Second BB1 parameter, delta >= 1.

Value

list(density, logdensity).

References

Joe, H. (2014). Dependence Modeling with Copulas, ch. 4.

Examples

CopulaDens(0.3, 0.7, "frank", 3)$density
#> [1] 0.7695371