统计与管理学院2016年学术报告第24期
【主 题】Simultaneous confidence bands for the distribution function of a finite population and of its superpopulation
【报告人】 杨立坚
苏州大学
【时 间】 2016年6月3日（星期五）13:30－14:30
【地 点】 上海财经大学统计与管理学院大楼1208室
【摘 要】Simultaneous confidence bands (SCBs) are proposed for the distribution function of a finite population and of the latent superpopulation via the empirical distribution function (nonsmooth) and kernel distribution estimator (smooth) based on a simple random sample (SRS), either with or without finite population correction. It is shown that both nonsmooth and smooth SCBs achieve asymptotically the nominal confidence level under standard assumptions. In particular, the uncorrected nonsmooth SCB for superpopulation is exactly the same as the Kolmogorov–Smirnov SCB based on an independent and identically distributed sample as long as the SRS size is infinitesimal relative to the finite population size. Extensive simulation studies confirm the asymptotic properties. As an illustration, the proposed SCBs are constructed for the population distribution of the well-known baseball data (Lohr, Sampling: design and analysis, 2nd edn. Brooks/Cole, Boston, 2009).
【邀请人】 冯兴东
