Bayesian estimation and maximum likelihood methods represent two central paradigms in modern statistical inference. Bayesian estimation incorporates prior beliefs through Bayes’ theorem, updating ...

This is a preview. Log in through your library . Abstract We consider the variance components model ${\bf y}={\bf X}\beta +\sum_{i=1}^{r}{\bf Z}_{i}{\bf u}_{i ...

This is a preview. Log in through your library . Abstract This paper rigorously establishes that the existence of the maximum likelihood estimate (MLE) in high-dimensional logistic regression models ...