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Dec 2, 2015 at 8:41 vote accept Antoine
Dec 1, 2015 at 15:55 comment added kjetil b halvorsen subtracting one does not by itself secure that the probabilities will sum to one, but it takes care of that restriction . After freely choosing the $100000^{10}-1$ probabilities, you can calculate the last one!
Dec 1, 2015 at 15:34 comment added Antoine Many thanks for elaborating. In other words, $100,000^{10}$ gives all the possible 10-element combinations from the vocabulary of size $100,000$. This number is huge but still finite since we're in the discrete case. And estimating the joint probability mass function of a specific 10-word sequence comes down to assigning a probability (probabilities=parameters here I assume) to each portion of that huge but finite discrete sample space. Is that correct? Also, sorry if I'm being dumb but I still don't get why subtracting 1 ensures that the probabilities will sum to one.
Dec 1, 2015 at 14:43 history edited kjetil b halvorsen CC BY-SA 3.0
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Dec 1, 2015 at 14:30 comment added Antoine please elaborate. Is the fact that words are consecutive important? How does joint distributions and degrees of freedom come into play? What is the formula that is used?
Dec 1, 2015 at 14:25 history answered kjetil b halvorsen CC BY-SA 3.0