Question 4 Suppose that in a population of twins, males (M) and females (F) are equally likely to occur and that the probability that twins are identical is 0. If twins are not identical, their genders are independent (if they are identical, their genders are the same). (i) Show that, ignoring birth order, P(MM) = P(FF) = (1+0)/4 and P(MF) = (1-0)/2. (ii) Suppose that n twins are sampled. It is found that n₁ are MM, n2 are FF, and n3 are MF, but it is not known which twins are identical. Find the maximum likelihood estimator of 0.
Question 4 Suppose that in a population of twins, males (M) and females (F) are equally likely to occur and that the probability that twins are identical is 0. If twins are not identical, their genders are independent (if they are identical, their genders are the same). (i) Show that, ignoring birth order, P(MM) = P(FF) = (1+0)/4 and P(MF) = (1-0)/2. (ii) Suppose that n twins are sampled. It is found that n₁ are MM, n2 are FF, and n3 are MF, but it is not known which twins are identical. Find the maximum likelihood estimator of 0.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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