TITLE: Exploring Semiparametric Models and Likelihood

SPEAKER: Professor Kjell Doksum

ABSTRACT:

I will give an overview of semiparametric models for two-sample and regression experiments. General frameworks and specific examples such as the Cox regression model will be considered. I will explore a model where the hazard rates of the treatment and control groups start out equal at the time the treatment is introduced and then diverges continuously as time increases. A semiparametric model with bounded random variables is also considered and it is shown that in this model empirical maximum likelihood estimates converge at a rate of n rather than usual rate root(n).

Various likelihoods in use for semiparametric models will be discussed and compared. This is joint work with Aki Ozeki.