Weighted Likelihood Equations with Bootstrap Root Search
提出一种加权似然方程方法，通过单峰加权函数降低异常值影响，获得完全有效且稳健的估计量，并利用自助法根搜索解决方程多解问题。
Abstract We discuss a method of weighting likelihood equations with the aim of obtaining fully efficient and robust estimators. We discuss the case of continuous probability models using unimodal weighting functions. These weighting functions downweight observations that are inconsistent with the assumed model. At the true model, therefore, the proposed estimating equations behave like the ordinary likelihood equations. We investigate the number of solutions of the estimating equations via a bootstrap root search; the estimators obtained are consistent and asymptotically normal and have desirable robustness properties. An extensive simulation study and real data examples illustrate the operating characteristics of the proposed methodology.