eif_delta <- function(y, a, g, e, gamma0, mu0, Q0, gamma1, mu1, Q1) {
tt <- ncol(y)
part_j1 <- map(1:tt, ~ eif_delta_partj(., y, a, gamma1, mu1, Q1, tt)) |>
bind_cols()
part_j0 <- map(1:tt, ~ eif_delta_partj(., y, a, gamma0, mu0, Q0, tt)) |>
bind_cols()
g / e * rowSums(part_j1) - (1 - g) / (1 - e) * rowSums(part_j0) + mu1[, 1] * Q1[, 1] - mu0[, 1] * Q0[, 1]
}
eif_delta_partj <- function(j, y, a, gamma, mu, Q, tt) {
ay_gamma <- a * y / gamma
if (j == 1) {
ay_gamma_jm1 <- 1
} else {
ay_gamma_jm1 <- apply(ay_gamma[, 1:(j - 1), drop = FALSE], 1, prod)
}
if (j == tt) {
tibble(!!glue("part{j}") := ay_gamma_jm1 * a[, j] / gamma[, j] * (y[, j] - mu[, j]))
} else {
tibble(!!glue("part{j}") := ay_gamma_jm1 * a[, j] / gamma[, j] * (y[, j] * mu[, j + 1] * Q[, j + 1] - mu[, j] * Q[, j]))
}
}
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