Assume you have a random sample (X1, X2, .... Xn) of size n. Answer the following...

   

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Assume you have a random sample (X1, X2, .... Xn) of size n. Answer the following questions: Suppose X~ N(0; 2) with p.d.f fz(x; 0) = O2 = 1. Show that the MLE of o is given by MLE 2. Show that the MLE is unbiased, efficient and consistent? You are interested in finding the population variance. Is this the MOM estimator, as well? Explain. n Assume you have a random sample (X1, X2, .... Xn) of size n. Answer the following questions: Suppose X~ N(0; 2) with p.d.f fz(x; 0) = O2 = 1. Show that the MLE of o is given by MLE 2. Show that the MLE is unbiased, efficient and consistent? You are interested in finding the population variance. Is this the MOM estimator, as well? Explain. n