
#1




meaning of union of hypothesis sets
I am trying to understand the union of hypothesis sets. Do we get hypotheses that were not in any of the original hypothesis sets? For example, if we take H1 to be the set of positive intervals on the real line, and H2 to be the set of 2 positive intervals (that we saw in HW3 Q6) on the real line, in the union do we have hypotheses with 3 positive intervals?

#2




Re: meaning of union of hypothesis sets
Quote:
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#3




Re: meaning of union of hypothesis sets
So by definition the union of hypothesis sets does not give rise to any new hypothesis, but the intersection of hypothesis sets may eliminate some hypothesis. Is that right?

#4




Re: meaning of union of hypothesis sets
Correct.
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Where everyone thinks alike, no one thinks very much 
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