Thread: role of P(X) ?
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Old 04-11-2013, 09:13 AM
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yaser yaser is offline
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Default Re: role of P(X) ?

Quote:
Originally Posted by nkatz View Post
So can you say that P(X) populates the bin and determines mu? In that case we would be sampling P(X); is this correct?
P affects the value of \mu because it affects the probability of each {\bf x}\in{\cal X}, so the probability of red marbles (i.e., {\bf x}'s where h({\bf x})\ne f({\bf x})) changes accordingly. We are sampling according to P, except that when we look at the bin abstraction of the situation, we only care about the color of {\bf x} not its identity, so the binary-event probability \mu is sufficient to characterize sampling of the marbles.
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