Nonparametrics: Statistical Methods Based on Ranks and Its Impact on the Field of Nonparametric Statistics

Open Access
Chapter
Part of the Selected Works in Probability and Statistics book series (SWPS)

Abstract

As I was doing background reading in the mid-1960s in preparation for my dissertation in the area of nonparametric statistics, it seemed that everywhere I turned there was yet another important paper on rank-based statistical methodology by Erich Lehmann, including the article in which he proposed the use of structured nonparametric alternatives (that bear his name) for approximate power calculations (1953), the joint work with Joe Hodges on the surprising efficiency of rank tests (1956), the series of papers on various aspects of rank-based approaches to linear models (1963a, 1963b, 1964), and his pair of definitive articles on nonparametric confidence intervals based on rank procedures (1963c) and estimates of location associated with rank tests (1963), the latter once again being joint work with Hodges. Therefore, it was certainly no surprise when Lehmann published Nonpar ametrics: Statistical Methods Based on Ranks (NSMBR) in 1975 and it turned out to be one of the most influential textbooks in the field.

Keywords

Income Convolution Arena 

References

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Copyright information

© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  1. 1.Department of StatisticsThe Ohio State UniversityColumbusUSA

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