Statistics and Its Interface
Volume 5 (2012)
Empirical likelihood in some nonparametric and semiparametric models
Pages: 367 – 378
In this very selective overview, we summarise the recent developments by our own and other, on the empirical likelihood in some nonparametric and semiparametric regression models. The models include the partially linear model, the single-index model, the partially linear singleindex model, the varying coefficient model, and so on. The focus of this overview is to expatiate the adjustment and “bias correction” methodologies when Wilks’ phenomenon does not hold. The adjustment or bias correction can make the limiting distributions tractable such that they can be directly used to construct the confidence regions of parameters of interest without the assistance of Monte Carlo approximation.
adjustment, bias correction, confidence region, empirical likelihood, semiparametric regression models, Wilks’ phenomenon
2010 Mathematics Subject Classification
Primary 62G08. Secondary 62G05, 62H05.