Which of the Following Statements Are True?
A) Maximizing the Likelihood

Multiple Choice

Which of the following statements are true?

A) Maximizing the likelihood estimation is the most widely used estimation technique among statisticians.
B) Under very general conditions on the joint distribution of the sample, when the sample size n is large, the maximum likelihood estimator of any parameter $\theta$
Is approximately unbiased; that is, $E ( \hat { \theta } ) \approx \theta$
)
C) Under very general conditions on the joint distribution of the sample, when the sample size n is large, the maximum likelihood estimator of any parameter $\theta$
Has variance, is nearly as small as small as can be achieved by any estimator.
D) In recent years, statisticians have proposed an estimator, called an M-estimator, which is based on a generalization of maximum likelihood estimation.
E) All of the above are true statements.