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Aug 14, 2018 at 15:13 comment added Glen_b There's a distinction between a model of a situation and the situation itself. In the case of a coin we assume P(H)=1/2 not because people have tossed coins thousands of times and discovered them to give very close to fair results, but from symmetry considerations. Similarly, when drawing marbles from a bag we assume (again via symmetry considerations) that on any draw the remaining marbles are all equally likely to be drawn. These models (invocations of some kind of symmetry in these two cases) will be plausible idealizations of reality (we can improve the quality of these with care).
Aug 14, 2018 at 11:09 answer added Tonca timeline score: 1
Aug 14, 2018 at 10:45 vote accept user_anon
Aug 14, 2018 at 10:35 history edited user_anon CC BY-SA 4.0
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Aug 14, 2018 at 9:57 comment added user_anon For the moment I thought that applying CWA en.wikipedia.org/wiki/Closed-world_assumption on the sentence "One tosses a (fair) die." would tell me that P(heads)=0.5, but I doubt it now.
Aug 14, 2018 at 9:44 answer added Fabian Werner timeline score: -1
Aug 14, 2018 at 9:43 comment added Sebastian Furthermore what do you mean with closed world assumptions?
Aug 14, 2018 at 9:40 comment added user_anon @0rangetree Now I understand what you meant. I cannot consider them as data. If I were to do the experiment 10 times and observe 4 blue and 6 red marbles, then THAT would be my Data. Thanks for pointing this out.
Aug 14, 2018 at 9:33 comment added user_anon So, the second example has nothing to do with maximum likelihood estimation?
Aug 14, 2018 at 9:27 comment added Arnaud In your examples, the writer wants you to consider that the true probabilities are known. In real life, probability is never known. There is no fair coin and the painting of the marbles have an unknown and very very very slight effect on the propensity you have to catch them.
Aug 14, 2018 at 9:20 history edited user_anon CC BY-SA 4.0
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Aug 14, 2018 at 8:56 comment added user_anon Yes. I was just trying to say that the 4 blue and 6 red marbles were my data. I mean I can consider them data, can't I?
Aug 14, 2018 at 8:52 comment added Sebastian So you know that the bag contains 4 blue and 6 des marbles AND your Data was BBBB RRRRRR ?
Aug 14, 2018 at 8:36 history asked user_anon CC BY-SA 4.0