Updatebi=function(yFdata,linkmuN_bi,sigma,uhatN,bihatN2,group){
########## parameters
N=length(yFdata);N2=length(unique(group));tmax=ceiling(N/N2)
########## set boundary
BIG=1000; SMALL=1.0e-3; converge=0;maxits=200;itsbi=0; fail=0;
while(itsbi < maxits) {
itsbi=itsbi+1
bihatN2old=bihatN2
fDbi=firstDbi(yFdata,linkmuN_bi,uhatN,bihatN2,sigma,group)
diagsDbi=secondDbi(linkmuN_bi,uhatN,bihatN2,sigma,group)
grdd=fDbi/diagsDbi
grdd[is.na(grdd)]=0
bihatN2=bihatN2old-grdd
eps=sum(abs(bihatN2-bihatN2old))
##### print(paste('estbi eps',eps))
if(eps>BIG) {break
}else if (eps<SMALL) {converge=1;break}
}
diagsDbi[is.na(diagsDbi)]=10^7
list(bihatN2,diagsDbi,converge)
}
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