科研成果 by Year: 2019

2019
Denworth, L., & 张慧铭(译),. (2019). P值危机:统计学需要一场变革. 环球科学, 21, 76-81. 访问链接Abstract
近100年来,统计学家使用p值来描述数据的统计显著性,这种方法造成了许多人在工作中把统计显著性当作了实际显著性,做出了很多不科学的决策。
Zhang, H., & Wu, X. (2019). Compound Poisson Point Processes, Concentration and Oracle Inequalities. Journal of Inequalities and Applications, 2019, 312. 访问链接Abstract
This note aims at presenting several new theoretical results for the compound Poisson point process, which follows the work of Zhang et al. (Insur. Math. Econ. 59:325–336, 2014). The first part provides a new characterization for a discrete compound Poisson point process (proposed by Aczél (Acta Math. Hung. 3(3):219–224, 1952)), it extends the characterization of the Poisson point process given by Copeland and Regan (Ann. Math. 37:357–362, 1936). Next, we derive some concentration inequalities for discrete compound Poisson point process (negative binomial random variable with unknown dispersion is a significant example). These concentration inequalities are potentially useful in count data regression. We give an application in the weighted Lasso penalized negative binomial regressions whose KKT conditions of penalized likelihood hold with high probability and then we derive non-asymptotic oracle inequalities for a weighted Lasso estimator.