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#' @title Generates a conditional random sample from a grid type copula
#' @description Returns a vector of size nx1 with the random sample of the U2 variable.
#' @param U a vector of size nx1 with values of the U1 variable.
#' @param mg a grid type copula object.
#' @examples
r.cond.grid <- function(U, mg) {
k <- mg$k
m <- mg$m
v.breaks <- seq(0, 1, length.out=k+1)
u.breaks <- seq(0, 1, length.out=m+1)
V <- 0*U
for(i in 1:m) {
if(i < m) {
u.posicion <- which(u.breaks[i] <= U & U < u.breaks[i+1])
} else {
u.posicion <- which(u.breaks[i] <= U & U <= u.breaks[i+1])
}
v.cantidad <- length(u.posicion)
if( 0 < v.cantidad ) {
Fv <- c(0, cumsum(mg$Density[k:1, i]))
Fv <- Fv / Fv[k+1]
p <- runif(v.cantidad)
for(j in 1:k) {
if(j < k) {
p.posicion <- which(Fv[j] <= p & p < Fv[j+1])
} else {
p.posicion <- which(Fv[j] <= p & p <= Fv[j+1])
}
p.cantidad <- length(p.posicion)
if( 0 < p.cantidad ) {
V[u.posicion[p.posicion]] <- v.breaks[j] + ((v.breaks[j+1]-v.breaks[j])/(Fv[j+1]-Fv[j]))*(p[p.posicion]-Fv[j])
}
}
}
}
return(V)
}
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