#jointfun4
#2. multiple Nta categories
nblgnfun2<-function(q,lp,sigma,nta){
lbd1<-1/(rlnorm(100000,meanlog=lp,sdlog=sigma))
ndist<-rnbinom(100000,nta,lbd1)
pvec=sapply(q,function(x){sum(x>=ndist,na.rm = TRUE)/length(ndist)})
return(pvec)
}
lownbfun3<-function(q,nta){
pvec=pnbinom(q,nta,0.7)
return(pvec)
}
jointfun<-function(q,lambda,lp,sigma,nta){
pvec=lambda*nblgnfun2(q,lp,sigma,nta)+(1-lambda)*lownbfun3(q,nta)
return(pvec)
}
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