As I said before, in Bayes theorem, we fix a particular 'b' and let 'a' vary, so it's just a function of R^3. I just wanted to point out that the name for this is the likelihood function.
(If on the other hand we had fixed 'a' and let 'b' vary, then it would just be a PDF;
specifically it's the PDF of the random variable B|A=a.)
P_[B|A=a](b)
As I said before, in Bayes theorem, we fix a particular 'b' and let 'a' vary, so it's just a function of R^3. I just wanted to point out that the name for this is the likelihood function.
(If on the other hand we had fixed 'a' and let 'b' vary, then it would just be a PDF; specifically it's the PDF of the random variable B|A=a.)