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# program spuRs/resources/scripts/seed-test.r
# set up two plots side-by-side
par(las = 1, mfrow = c(1,2), mar = c(4,5,0,2))
# graph f_R and f_T on the LHS plot
curve(dgamma(x, shape = 2, rate = 1/2), from = 0, to = 20,
ylim = c(0, dexp(0, rate=1/2)), lty = 2,
xlab = "r", ylab = expression(paste(f[T](r), " and ", f[R](r))))
curve(dexp(x, rate = 1/2), add = TRUE)
abline(h = 0, col = "grey")
# generate T, U, and S samples for case 1
T <- rexp(1000000, rate = 1/2)
U <- runif(1000000, min = 0, max = 20)
S <- T[T > U]
# graph estimate of f_S and f_R on the RHS plot
hist(S, breaks = seq(0, max(S)+0.5, 0.5), freq = FALSE,
xlim = c(0,20), ylim = c(0, dexp(0, rate = 1/2)),
main = "", xlab = "r",
ylab = expression(paste(f[R](r), " and ", hat(f)[S](r))),
col = "lightgrey", border = "darkgrey")
curve(dgamma(x, shape = 2, rate = 1/2), add = TRUE)
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