Question: Consider a random sample of size n from the distribution f(x)= 2/theta xe*((-x^2))/theta) X>0 A.write the likelihood for an iid sample Xn:L(Xi|theta) B Find the

Consider a random sample of size n from the distribution f(x)= 2/theta xe*((-x^2))/theta) X>0 A.write the likelihood for an iid sample Xn:L(Xi|theta) B Find the MLE C. Find the MLE for the population mean phi=g(theta)=E(X) D. Find the MOM estimator for theta (Hint: gamma(1/2)=sqrtpi, gamma(1)=1,gamma(3/2)=sqrtpi/2,gamma (n)=(n-1)

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