Minimum Distance and Robust Estimation
研究了最小距离估计方法在非对称分布位置参数及一般参数估计中的稳健性,通过渐近理论和蒙特卡洛模拟证明其与现有优秀估计量相当。
Abstract Robust and consistent estimation of the location parameter of an asymmetric distribution and general, nonlocation and scale parameter estimation problems have been vexing problems in the history of robustness studies. The minimum distance (MD) estimation method is shown to provide a heuristically reasonable mode of attack for these problems, which also leads to excellent robustness properties. Both asymptotic and Monte Carlo results for the familiar case of estimation of the location parameter of a symmetric distribution support this proposition, showing MD estimators to be competitive with some of the better estimators thus far proposed.