Nothing
simu.GB=function(n,alpha,scale1=1,scale2=1,shape1=1,shape2=1,
Print=FALSE){
U.vec=V.vec=X.vec=Y.vec=numeric(n)
for (i in 1:n){
U=runif(1, 0, 1)
W=runif(1, 0, 1)
GB = function(v){
(1-alpha*log(v))*U^(-alpha*log(v))*v-W
}
V=uniroot(GB,lower=0.00000000001,upper=0.9999999999)$root
U.vec[i]=U
V.vec[i]=V
X.vec[i]=(-log(U)/scale1)^(1/shape1)
Y.vec[i]=(-log(V)/scale2)^(1/shape2)
}
if(Print==TRUE){
meanX=scale1^(-1/shape1)*gamma(1+1/shape1)
meanY=scale2^(-1/shape2)*gamma(1+1/shape2)
func1=function(x){x*(1-alpha*log(x))*log(1-alpha*log(x))}
if(alpha==0){Tau=0}else{Tau=1-4/alpha*integrate(func1,0,1)$value}
print(c(true_Kendall_tau=Tau,meanX=meanX,meanY=meanY))
}
cbind(U=U.vec,V=V.vec,X=X.vec,Y=Y.vec)
}
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