The Cause Specific Hazard Quantile Function

Abstract

In this paper, we discuss modeling and analysis of competing risks data using the quantile function. We introduce and study the cause specific hazard quantile function. We present competing risks models using various functional forms for the cause specific hazard quantile functions. A non-parametric estimator of the cause specific hazard quantile function is derived. Asymptotic properties of the estimator are studied. Simulation studies are carried out to assess the performance of the estimator. Finally, we apply the proposed procedure to real life data sets.