chapman<-function(ages){
X<-sum(ages)
n<-length(ages)
surv<-X/(X+n-1)
var_surv<-surv*(surv-((X-1)/(n+X-2)))
se_surv<-sqrt(var_surv)
out<-list(surv, se_surv)
names(out)<-c("S_hat", "SE(S_hat)")
return(out)
}
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