Correct to illustrate flat priors as a line from -Inf to Inf?

Modeling
1

I need to graphically compare two brms model prior and posterior distributions. One of the models uses default flat prior. How should I graphically show the flat prior? Would it be correct to just show a line from -Infinity to Infinity?

df = tibble(x = seq(1, 2, 1), y = rep(0.01, length.out = T))
df%>% 
  ggplot(aes(x, y)) +
  geom_line(color = "#616161", size = 1)+
  scale_y_continuous(breaks = seq(0, 1, 0.25), limits = c(0, 1), expand = c(0,0))+
  scale_x_continuous(breaks = c(1, 2), labels = c(expression(-infinity), expression(infinity))) +
    theme_classic()+
  ylab("Density")+
  xlab("Odds ratio")+
theme(plot.caption = element_text(hjust = 0), plot.title.position = "plot")

image
image700×432 2.37 KB

1 Like
2

Over on stats stackexchange you can see some examples of this: posterior - Binomial uniform prior bayesian statistics - Cross Validated

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