True/ False questions: The log-likelihood function is defined on the parameter space

Math Dec 23, 2021

True/ False questions:

The log-likelihood function is defined on the parameter space.
The likelihood ratio (LR) test statistic is computed by both unconstrained and constrained ML estimators.
The one-step ahead optimal forecasting method yields the same forecast as the one- step ahead dynamic forecast.
If an unknown parameter is estimated by the maximum likelihood (ML) estimation, it asymptotically follows a normal distribution.