Typo in Equations 3.54-3.56 Version: 2022-04-01 ?

[hovnatan]

In equations 3.54-3.56, should l(theta|x), s(theta|x), s'(theta|x) be instead l(x|theta), s(x|theta), s'(x|theta)?

[maremita]

Hi, I think the notation is correct. They are likelihood-related functions of unknown parameters $\theta$ given fixed data $x$. $l(\theta|x)$ is the log-likelihood and is given by the log of the PMF of the binomial distribution $p(x|\theta)$ (where the scaling factor $\binom{n}{x}$ is dropped because it is independent of $\theta$ (section 3.2.1.1)).

[murphyk]

Exactly. What @maremita said.