After studying this course, you should be able to:
calculate the maximum likelihood estimator using calculus
work with the log-likelihood instead of the likelihood itself
understand that maximum likelihood estimation of a function of a parameter is equivalent to taking that function of the maximum likelihood estimator
define and calculate the bias of an estimator and choose between unbiased estimators on the basis of their variances
understand and calculate the Cramèr-Rao lower bound for the variance of any unbiased estimator.