Published In
Institute of Mathematical Statistics
Document Type
Article
Publication Date
1-1-2008
Subjects
Linear orderings, Competing risks -- Mathematical models, Statistical hypothesis testing -- Asymptotic theory
Abstract
There is a substantial literature on testing for the equality of the cumulative incidence functions associated with one specific cause in a competing risks setting across several populations against specific or all alternatives. In this paper we propose an asymptotically distribution-free test when the alternative is that the incidence functions are linearly ordered, but not equal. The motivation stems from the fact that in many examples such a linear ordering seems reasonable intuitively and is borne out generally from empirical observations. These tests are more powerful when the ordering is justified. We also provide estimators of the incidence functions under this ordering constraint, derive their asymptotic properties for statistical inference purposes, and show improvements over the unrestricted estimators when the order restriction holds.
DOI
10.1214/193940307000000040
Persistent Identifier
http://archives.pdx.edu/ds/psu/9518
Citation Details
El Barmi, H., Kochar, S. C., and Mukerjee, H. Order restricted inference for comparing the cumulative incidence of a competing risk over several populations. Beyond Parametrics in Interdisciplinary Research: Festschrift in Honor of Professor Pranab K. Sen. IMS Collections 1 (2008), 50-61.
Description
This is the publisher's final PDF. The article is avaliable (http://dx.doi.org/10.1214/193940307000000040) in the IMS Collections by the Institute of Mathematical Statistics