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Math Help - estimates

  1. #1
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    estimates

    a random sample of 100 voters were selected. 30 favored candidate A, 38 favored candidate B, 21 favored candidate C. find the max likelihood estimate for the proportions of votes favoring candidate A,B,C. also, estimate the diff btw the fractions favoring A and B and place a 2 std dev bound on the error of estimation.


    what is the prob density for this function? and how do i found the std dev for the second part?

    thank you
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  2. #2
    Senior Member Sambit's Avatar
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    It is a trinomial distribution, the MLEs for the proportions of votes for A,B,C being 30/100,38/100,21/100 respectively. Since the total votes of A,B,C does not add to 100, I assume there is another candidate D who gets the rest 11 votes. Without this assumption, MLE of a trinomial distribution could not be applied.
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  3. #3
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    sorry there is a type. C should have 32 votes. so that adds up to 100.

    so then how do i find the m.l.e or the different btw A and B?

    thank you
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