Empirical process approach to some two-sample problems based on ranked set samples

Document Type

Article

Publication Date

12-1-2007

Abstract

We study the asymptotic properties of both the horizontal and vertical shift functions based on independent ranked set samples drawn from continuous distributions. Several tests derived from these shift processes are developed. We show that by using balanced ranked set samples with bigger set sizes, one can decrease the width of the confidence band and hence increase the power of these tests. These theoretical findings are validated through small-scale simulation studies. An application of the proposed techniques to a cancer mortality data set is also provided. © 2006 The Institute of Statistical Mathematics, Tokyo.

Identifier

36448984273 (Scopus)

Publication Title

Annals of the Institute of Statistical Mathematics

External Full Text Location

https://doi.org/10.1007/s10463-006-0073-5

e-ISSN

15729052

ISSN

00203157

First Page

757

Last Page

787

Issue

4

Volume

59

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