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# The point estimating function for binary group
ptbin.modified <- function(psest, z, y, ftilt, m0est = NULL, m1est = NULL, weight.external = NULL) {
# point estimate
mu1est <- sum(z * y * ftilt(psest, weight.external) / psest) / sum(z * ftilt(psest, weight.external) / psest)
mu0est <- sum((1 - z) * y * ftilt(psest, weight.external) / (1 - psest)) / sum((1 - z) * ftilt(psest, weight.external) / (1 - psest))
if (is.null(m0est)) {
return(c(mu0est, mu1est))
} else {
aug0hest <- sum(ftilt(psest, weight.external) * m0est) / sum(ftilt(psest, weight.external))
aug0zest <- sum((1 - z) * m0est * ftilt(psest, weight.external) / (1 - psest)) / sum((1 - z) * ftilt(psest, weight.external) / (1 - psest))
aug1hest <- sum(ftilt(psest, weight.external) * m1est) / sum(ftilt(psest, weight.external))
aug1zest <- sum(z * m1est * ftilt(psest, weight.external) / psest) / sum(z * ftilt(psest, weight.external) / psest)
mu0estaug <- mu0est + aug0hest - aug0zest
mu1estaug <- mu1est + aug1hest - aug1zest
return(c(mu0est, aug0hest, aug0zest, mu1est, aug1hest, aug1zest, mu0estaug, mu1estaug))
}
}
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