LFD Book Forum (http://book.caltech.edu/bookforum/index.php)
-   The Final (http://book.caltech.edu/bookforum/forumdisplay.php?f=138)
-   -   Q19: What mathematical object is the posterior (http://book.caltech.edu/bookforum/showthread.php?t=3657)

 weiss 12-02-2012 09:13 AM

Q19: What mathematical object is the posterior

Good evening,

trying to solve Q20, I realized I do not understand the mathematical nature of the prior/posterior. Your "definition" for the prior is P(h=f), but if h is a random variable with uniform distribution on [0,1] and f is some real number, the prior is just 0 for all f. The same holds of the posterior if the distribution of the random variable h conditioned by D is still of continuos nature.

My guess is that you are talking about h(f)'s density when asking questions about the properties of P(h=f | D) as a function. Is my guess correct?

 yaser 12-02-2012 10:32 AM

Re: Q20: What mathematical object is the posterior

Quote:
 Originally Posted by weiss (Post 8181) My guess is that you are talking about h(f)'s density when asking questions about the properties of P(h=f | D) as a function. Is my guess correct?
Correct.

 weiss 12-02-2012 01:32 PM

Re: Q20: What mathematical object is the posterior