JSM 2005 Online Program

Abstract #304358

This is the preliminary program for the 2005 Joint Statistical Meetings in Minneapolis, Minnesota. Currently included in this program is the "technical" program, schedule of invited, topic contributed, regular contributed and poster sessions; Continuing Education courses (August 7-10, 2005); and Committee and Business Meetings. This on-line program will be updated frequently to reflect the most current revisions.

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Activity Number:	36
Type:	Contributed
Date/Time:	Sunday, August 7, 2005 : 2:00 PM to 3:50 PM
Sponsor:	Section on Nonparametric Statistics
Abstract - #304358
Title:	Restricted Estimation of the Cumulative Incidence Functions Corresponding to k Competing Risks
Author(s):	Hammou Elbarmi*+ and Hari Mukerjee
Companies:	Baruch College, CUNY and Wichita State University
Address:	One Baruch Way, New York, NY, 10010, United States
Keywords:	Cumulative incidence functions ; Competing risks ; Order restriction ; Hypotheses Testing ; Weak convergence
Abstract:	In the competing risks problem, an important role is played by the cumulative incidence function (CIF), whose value at time t is the probability of failure by time t from a particular type of failure in the presence of other risks. In some cases, there are reasons to believe the CIFs due to various types of failure are linearly ordered. El Barmi, Kochar, Mukerjee ,and Samaniego (2004) studied the estimation and inference procedures under this ordering when there are only two causes of failure. In this paper, we extend the results to the case of k CIFs, where $k\ge2.$. Although the analyses are more challenging, we show that most of the results in the two-sample case carry over to this $k$-sample case.

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