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ci<-function(Beta,Beta_bootstrap,alpha,type=c("basic","quantile")){
# a=0 is corresponding to BC confidence interval
p<-dim(Beta_bootstrap)[2]
times<-dim(Beta_bootstrap)[1]
interval<-matrix(0,2,p)
if(type=="basic"){
bound.percentile<-apply(Beta_bootstrap,2,function(u){ quantile(u,prob=c(1-alpha/2,alpha/2)) })
interval[1,]<-2*Beta-bound.percentile[1,]
interval[2,]<-2*Beta-bound.percentile[2,]
}
if(type=="quantile"){
bound.percentile<-apply(Beta_bootstrap,2,function(u){ quantile(u,prob=c(alpha/2,1-alpha/2)) })
interval[1,]<-bound.percentile[1,]
interval[2,]<-bound.percentile[2,]
}
return(interval)
}
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