Suppose that a certain large population contains k different types of individuals (k 2), and let

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Suppose that a certain large population contains k different types of individuals (k ≥ 2), and let θi denote the proportion of individuals of type i, for i = 1, . . . , k. Here, 0 ≤ θi ≤ 1 and θ1 + . . . + θk = 1. Suppose also that in a random sample of n individuals from this population, exactly ni individuals are of type i, where n1 + . . . + nk = n. Find the M.L.E.’s of θ1, . . . , θk.
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Probability And Statistics

ISBN: 9780321500465

4th Edition

Authors: Morris H. DeGroot, Mark J. Schervish

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