Monte Carlo Study of Three Data-Based Nonparametric Probability Density Estimators

作者：David W. Scott, Lynette E. Factor · 发表于：Journal of the American Statistical Association · 年份：1981 · DOI：10.1080/01621459.1981.10477594 · 被引用次数：79 · 研究领域：Statistical Methods and Inference、Statistical Methods and Bayesian Inference、Statistical Distribution Estimation and Applications

Although the theoretical properties of modern nonparametric probability density estimators have been studied for 25 years, there remains the practical problem of how to specify the amount of bias or smoothing in a density estimate based on a random sample. In this paper we review and evaluate three recently developed data-based algorithms that completely specify a density estimate from a random sample. Using Monte Carlo techniques, we compare the statistical accuracy of these algorithms as measured by the integrated mean squared error. In addition, we examine the sensitivity of these algorithms to outliers and estimate computer time requirements. One conclusion we draw is that the statistical accuracy of these data-based algorithms seems comparable to levels predicted by theoretical models.