Updata_E=function(yFdata,theta_bi,logitp_ai,sigma,cihatN2,group) {
########## parameters
N=length(yFdata);N2=length(unique(group))#;tmax=ceiling(N/N2)
########## set boundary
BIG=50; SMALL=1.0e-3; converge=0;maxits=100;itse=0; fail=0;
########## start value
while(itse < maxits) {
itse=itse+1
cihatN2old=cihatN2
###### estimated u hat
uhatN=as.numeric(yFdata==0)/(1+exp(-logitp_ai-as.vector(cihatN2[group+N2])-
exp(theta_bi+as.vector(cihatN2[group]))))
###### updata bi by minimize Si(bi)
resE=Updateci(yFdata,uhatN,theta_bi,logitp_ai,sigma,cihatN2,group)
cihatN2=resE$cihatN2;diagsDci=resE$diagsDci
eps=sum(abs(cihatN2-cihatN2old))
##### print(paste('estbi eps',eps))
if(eps>BIG) {break
}else if (eps<SMALL) {converge=1;break}
}
### print(paste('estbi con',converge))
###### estimated u hat
uhatN=as.numeric(yFdata==0)/(1+exp(-logitp_ai-as.vector(cihatN2[group+N2])-
exp(theta_bi+as.vector(cihatN2[group]))))
if(!exists('diagsDci')) {cihatN2=resE$cihatN2;diagsDci=resE$diagsDci}
list(cihatN2=cihatN2,civar=1/diagsDci,uhatN=uhatN,conv=converge)
}
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