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Jan 25, 2017 at 14:18 comment added Xi'an @Anoldmaninthesea. Well, in a sense, you are free to model those weights as you wish when you run hypothesis testing and model comparison. However, if you start from a prior over the whole space as stated in the question, this prior induces the said weights.
Jan 24, 2017 at 10:22 vote accept An old man in the sea.
Jan 24, 2017 at 10:19 comment added An old man in the sea. Many thanks. I thought the prior weights could be anything as long as $P(M=M_1)=1-P(M=M_2)$... That's one of the reasons why I didn't get exactly the same. The other being a typo in my calculations. Now I get it. Thanks ;)
Jan 24, 2017 at 9:32 history answered Xi'an CC BY-SA 3.0