LFD Book Forum Q19: What mathematical object is the posterior
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#1
12-02-2012, 10:13 AM
 weiss Junior Member Join Date: Oct 2012 Posts: 8
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?
#2
12-02-2012, 11:32 AM
 yaser Caltech Join Date: Aug 2009 Location: Pasadena, California, USA Posts: 1,478
Re: Q20: What mathematical object is the posterior

Quote:
 Originally Posted by weiss 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.
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#3
12-02-2012, 02:32 PM
 weiss Junior Member Join Date: Oct 2012 Posts: 8
Re: Q20: What mathematical object is the posterior

Thanks for the quick reply.

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