Showing papers by "Hammou El Barmi published in 2006"
TL;DR: In this article, a unified technique for testing for and against a set of linear inequality constraints placed upon on any r (r ≥ 1) probability vectors corresponding to r independent multinomials is presented.
20 citations
TL;DR: In this paper, the authors consider the problem of testing the equality of r ( r ⩾ 2 ) cumulative incidence functions against an ordered alternative, using the likelihood ratio approach, and assume a discrete time framework and obtain maximum likelihood estimators of the r cumulative incidence function under the restriction that they are uniformly ordered.
14 citations
TL;DR: In this article, the authors extend the results to the case of k CIFs, where k ≥ 3, and they show that most of the results in the 2-sample case carry over to this k- sample case.
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 that the CIFs due to various types of failure are linearly ordered. El Barmi et al. (3) 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 ≥ 3. Although the analyses are more challenging, we show that most of the results in the 2-sample case carry over to this k-sample case.
8 citations