#' @noRd
heff_tawn_alphas <- function(data, q){
if(any(q < 0) | any(q > 1)){
stop("Marginal quantile needs to be in [0, 1].")
}
u <- sapply(1:dim(data)[2], function(i) quantile(data[, i], probs = q[i]))
excdata <- sapply(1:dim(data)[2], function(i) data[data[, i] > u[i], ], simplify = F)
par <- rep(1/2, 4)
Yopt <- optim(fn = HeffTawnNegLL, X = excdata[[2]][, 2], Y = excdata[[2]][, 1], par = par, control = list(maxit = 100000))
Ypar <- Yopt$par
Xopt <- optim(fn = HeffTawnNegLL, X = excdata[[1]][, 1], Y = excdata[[1]][, 2], par = par, control = list(maxit = 100000))
Xpar <- Xopt$par
return(c(Ypar[1], Xpar[1]))
}
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