3/16/2024 0 Comments Open e with tildeThis is the empirical approach to notation, which always beats theory provided you are looking at variation from the right population, i.e. You might want to look at a few careful expositions to get a sense of the normal range of notational variation. One simple situation where estimators, random variables, and expectations collide in the notation is in the discussion of EM algorithms. Maybe that's a mathematical statistics thing, in which case someone around here should recognize it. Re the expectation operator: I've never seen curly brackets used. The mean? the mode? the actual but unobserved value? The surrounding text would have to say.) (And frankly, it's unclear to me what the tilde denotes on $u$. Again, this is why in the example above the sample mean involved the letter $x$ when it was a function of the data but $\mu$ when it was considered as an estimator. The convention in (my end of) applied statistics is that $\hat$ is a random variable rather than a parameter is the fact that it's a roman letter not a greek one.
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