3. Let X1, X2, ..., Xn be a random sample from fx(x) = = 0 0
Posted: Wed May 11, 2022 8:29 pm
3. Let X1, X2, ..., Xn be a random sample from fx(x) = = </0 0<x< V20 0 otherwise where 0 € O = (0,00). = (a) Show that fx(x) is a proper density (2 marks) (b) Derive the method of moments estimator of 0 (5 marks) (c) Explain why the OLS estimator of 0 is the same as the method of moments estimator of 0 (3 marks)
Posted: Wed May 11, 2022 8:29 pm
3. Let X1, X2, ..., Xn be a random sample from fx(x) = = </0 0<x< V20 0 otherwise where 0 € O = (0,00). = (a) Show that fx(x) is a proper density (2 marks) (b) Derive the method of moments estimator of 0 (5 marks) (c) Explain why the OLS estimator of 0 is the same as the method of moments estimator of 0 (3 marks)