Nonparametric estimation and U-statistics have emerged as vital tools in modern statistical analysis, offering robust alternatives to traditional parametric methods.

Course TopicsThis short course will provide an overview of non-parametric statistical techniques. The course will first describe what non-parametric statistics are, when they should be used, and their ...

This paper applies revealed preference theory to the nonparametric statistical analysis of consumer demand. Knowledge of expansion paths is shown to improve the power of nonparametric tests of ...

We develop a nonparametric regression technique to fit a functional relationship between natural flow and natural salt. The main advantages of the nonparametric technique are: (1) No prior assumptions ...

The Wilcoxon signed rank test, which is also known as the Wilcoxon signed rank sum test and the Wilcoxon matched pairs test, is a non-parametric statistical test used to compare two dependent samples ...

N. Balakrishnan, Xingqiu Zhao, New Multi-Sample Nonparametric Tests for Panel Count Data, The Annals of Statistics, Vol. 37, No. 3 (Jun., 2009), pp. 1112-1149 ...

The Mann-Whitney U Test, also known as the Wilcoxon Rank Sum Test, is a non-parametric statistical test used to compare two samples or groups. The Mann-Whitney U Test assesses whether two sampled ...

Similarly, if a reader had knowledge of t-tests, contingency tables, nonparametric tests, epidemiologic statistics, Pearson's correlation, simple linear regression, analysis of variance ...