Re: [UAI] A perplexing problem - Version 2

2009-02-25 Thread Konrad Scheffler
On Mon, 23 Feb 2009, Francisco Javier Diez wrote: Konrad Scheffler wrote: I agree this is problematic - the notion of calibration (i.e. that you can say P(S|70%) = .7) does not really make sense in the subjective Bayesian framework where different individuals are working with different

Re: [UAI] A perplexing problem - Version 2

2009-02-23 Thread Francisco Javier Diez
Konrad Scheffler wrote: I agree this is problematic - the notion of calibration (i.e. that you can say P(S|70%) = .7) does not really make sense in the subjective Bayesian framework where different individuals are working with different priors, because different individuals will have different

Re: [UAI] A perplexing problem - Version 2

2009-02-21 Thread Konrad Scheffler
I agree this is problematic - the notion of calibration (i.e. that you can say P(S|70%) = .7) does not really make sense in the subjective Bayesian framework where different individuals are working with different priors, because different individuals will have different posteriors and they

Re: [UAI] A perplexing problem - Version 2

2009-02-21 Thread Peter Szolovits
Paul, your restated problem reminds me of one I encountered in medicine in the 1980's. When an internist sends a patient's sample to a pathologist and the pathologist says 90% chance of cancer, how is the internist supposed to interpret that answer in light of his own priors?

Re: [UAI] A perplexing problem - Version 2

2009-02-21 Thread Jean-Louis GOLMARD
This time, the probabilistic model is underspecified, since it has 2 probabilities, but it is not important for answering the question since the answer to question 1 is is propositions 3 et 4: if TWC forecasts are calibrated then P(S/70%) = 70%, and prior 2 plays no role. You find this

Re: [UAI] A perplexing problem - Version 2

2009-02-18 Thread Lehner, Paul E.
UAI members Thank you for your many responses. You've provided at least 5 distinct answers which I summarize below. (Answer 5 below is clearly correct, but leads me to a new quandary.) Answer 1: 70% chance of snow is just a label and conceptually should be treated as XYZ. In other words