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All University of South Carolina system institutions will be closed through the end of the spring semester. Columbia campus virtual instruction will continue through the end of the Summer II semester (Aug 1). Details can be found on the coronavirus landing page.

Department of Statistics

STAT 824

824—Nonparametric Inference. (3) (Prereq: STAT 713 or consent of instructor) The general theory of nonparametric statistics, including order statistics, theory of ranks, U-statistics in nonparametric estimation and testing, linear rank statistics and their application to location and scale problems; goodness-of-fit, and other distribution-free procedures.

Usually Offered: Spring Semesters, Odd years

Purpose of Course: The course develops the theory of nonparametric inference. It is intended for graduate students who have a thorough understanding of parametric inference.

Current Textbook: Introduction to the Theory of Nonparametric Statistics, by Ronald H. Randles and Douglas A. Wolfe, Krieger.

 

Topics Covered Time        
Order statistics and multinomial tests of fit 1 week
Concept of distribution-free statistics 2 weeks
U-statistics 2 week
Power of distribution-free tests 1 week
Asymptotic relative efficiency 2 weeks
Distribution-free estimation 1 week
Linear rank statistics 2 weeks
Special properties of one and two sample problems 2 weeks
Additional topics from Ch 12 as time permits

Contact Faculty: Edsel Peña


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