A series of testing statistics for analysis of current status data

[[abstract]]Current status data arise when the failure time of interest is unable to observe. The observation consists only of a monitoring time and knowledge of whether the failure time occurred before or after the monitoring time. For testing the equality of the survival functions of the failure time among different groups, a test statistic provided by Sun and Kalbfleisch (1993) can be applied. Coincidentally, the score test statistics under proportional hazards model, additive hazards model and accelerated life time model, respectively, are the weighted version of the test statistic given by them. In this paper, we show that under the regular condition given by Sun and Kalbfleisch (1993), these three score test statistics have asymptotically normal distribution. A series of simulation studies are presented to evaluate the finite sample performance of these four test statistics (Poisson process, proportional hazards model, additive hazards model, accelerated life time model) under difference models