15. A large biological population has three classes of individuals A1, A2, A3 , in the proportions shownbelow: Suppose a random sample of size n is taken from the given population and a1, a2 and az areA1A2A3P1 = (1 – 0)² | P2 = 20(1 – 0) | p3 = 0²%3Dobserved for classes A1, A2 and A3 respectively. Find the maximum likelihood estimator of 616. Suppose (x1, x2, .., a„) is a random sample from a normal distribution.(a) Given that E(X,)= ið and Var(X,) = o², show that the least squares and the maximumlikelihood estimators of 0 are the same. Hence find the maximum likelihood estimator of a.(b) Find the maximum likelihood estimator of 0 if,i. a, n N(0, 1)ii. rN(0,6)iii. a, - N(0,0)%24

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15. A large biological population has three classes of individuals A, A2, A, , in the proportions shown below: Suppose a random sample of size n is taken from the given population and a1, 22 and a, are A1 A2 A3 P1 = (1 – 0)² | P2 = 20(1 – 0) | P3 = {)² %3D observed for classes A1, A2 and A3 respectively. Find the maximum likelihood estimator of 0

15. A large biological population has three classes of individuals A, A2, A, , in the proportions shown below: Suppose a random sample of size n is taken from the given population and a1, 22 and a, are A1 A2 A3 P1 = (1 – 0)² | P2 = 20(1 – 0) | P3 = {)² %3D observed for classes A1, A2 and A3 respectively. 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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