-3
votes
1answer
46 views

Denotation of probability symbols

May I kindly clarify if the following mean the same thing? $$P(AB) = P(A \cap B)$$ Cheers.
7
votes
2answers
207 views

Why are probability distributions denoted with a tilde?

What is the meaning of the tilde when specifying probability distributions? For example: $$Z \sim \mbox{Normal}(0,1).$$
6
votes
2answers
849 views

What is the meaning of the semicolon in $f(x;\Theta)$?

In section 6.2, in the second paragraph of p. 335 (image below) of "Probability and statistical inference 7e" by Hogg and Tanis states: perhaps it is known that ...
1
vote
2answers
178 views

When should I use $E(X)$ and when to use $\mu$ for the mean?

I see that $E(X)$ and $\mu_x$ are used to refer to the mean of some distribution or variate, but I am not clear on what circumstances each is appropriate. $E(X)$ seems to always be more often in the ...
4
votes
2answers
368 views

Meaning of probability notations $P(z;d,w)$ and $P(z|d,w)$

What is the meaning between the notation $P(z;d,w)$ and $P(z|d,w)$ which is commonly used in many books and papers?
5
votes
1answer
168 views

What does $d$ mean in this notation of the “usual noninformative prior of $\mu_i$ and $\sigma_i$?”

Samiuddin, (1976) states: or, typset with $\LaTeX$ as originally posted We start with the usual noninformative prior distribution of $\mu_i$ and $\sigma_i (i = 1,2,\ldots, k)$ ...