DDupalpha.1<-function(alpha.1, B, Y.ia, Z.i,Z.a){
rbZ.a=Z.a
for(each in 2:nrow(Z.i)){rbZ.a=rbind(Z.a,rbZ.a)}
rbZ.i=Z.i[rep(1:nrow(Z.i), times = rep(nrow(Z.a),nrow(Z.i))), ]
dnj.ia <- rbZ.a - rbZ.i
A.ia <- sqrt(det(B)) * exp(-apply(dnj.ia, 1, function(x) x %*% B %*% x))
( sum(Y.ia) - sum(1 / (1 + exp(-alpha.1) / A.ia)) + alpha.1 * sum(1 / (2 + exp(-alpha.1) / A.ia+ exp(alpha.1) * A.ia))) /
( sum(1 / (2 + exp(-alpha.1) / A.ia + exp(alpha.1) * A.ia)))
}
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