Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1152496 | Statistics & Probability Letters | 2011 | 6 Pages |
Abstract
A nonparametric test for the two-sample scale problem is proposed by considering the subsample medians of three observations. The proposed statistic has the advantage of not requiring the two distribution functions to have a common median, but rather requiring them to have any common quantile of order α,0≤α≤1α,0≤α≤1 (not necessarily 1/21/2), which is assumed to be known. Pitman efficiency considerations indicate that the proposed test performs well relative to tests already existing in the literature for heavy tailed distributions.
Related Topics
Physical Sciences and Engineering
Mathematics
Statistics and Probability
Authors
Kalpana K. Mahajan, Anil Gaur, Sangeeta Arora,