Parameter (True Value) Group size Event-time data estimation method Likelihood Quasi-Likelihood Mean Std.Error Mean Std.Error θ1 (-2) 50 -2.0340 0.2732 -2.0339 0.2841 100 -2.0159 0.1977 -2.0159 0.1965 θ2 (0.1) 50 0.1043 0.2853 0.1134 0.2961 100 0.0981 0.2184 0.0961 0.2184 α (0.7) 50 0.7141 0.0511 0.7152 0.0489 100 0.7245 0.0412 0.7253 0.0345 t (1.5) 50 1.4548 0.3615 1.4822 0.4425   1.4812 0.2601 1.4887 0.3181

Table 4: Simulation results for Estimation of φ Based on Event-time Data. The standard errors (Std.Err) have been calculated as the square roots of the simulated variances of the estimators.