draw_xk_noreg <- function(rate_im1, rate_im2, rate_em1, rate_em2, stock_start, count_dth) {
exposure <- 0.5 * count_dth
## generate combined net migration
mu_im <- rate_im1 + rate_im2
mu_em <- (rate_em1 + rate_em2) * exposure
lower_bound_mig <- stock_start - count_dth
net_mig <- rskeltr(mu1 = mu_im,
mu2 = mu_em,
lower = lower_bound_mig)
## derive stock at end of period
stock_end <- stock_start - count_dth + net_mig
## split combined net migration into components
gross_mig <- rpoistr(lambda = mu_im + mu_em,
lower = net_mig)
count_im <- (gross_mig + net_mig) %/% 2L
count_em <- (gross_mig - net_mig) %/% 2L
prob_im1 <- rate_im1 / (rate_im1 + rate_im2)
prob_em1 <- rate_em1 / (rate_em1 + rate_em2)
count_im1 <- rbinom(n = 1L,
size = count_im,
prob = prob_im1)
count_em1 <- rbinom(n = 1L,
size = count_em,
prob = prob_em1)
count_im2 <- count_im - count_im1
count_em2 <- count_em - count_em2
ans <- c(stock_end,
count_im1,
count_im2,
count_em1,
count_em2)
ans
}
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