Research Article

Gamma Kernel Estimators for Density and Hazard Rate of Right-Censored Data

Table 2

Standard deviation ( × 1 0 2 ) of 𝐿 2 error for the density function estimators.

𝑛 = 1 2 5 𝑛 = 2 5 0 𝑛 = 5 0 0 𝑛 = 1 0 0 0
Model % cens G LL G LL G LL G LL

A 10 5.67 8.42 4.12 6.97 3.26 5.80 2.99 5.51
25 6.81 9.96 4.91 8.11 4.06 7.02 3.18 6.115
50 8.47 1.14 8.30 1.03 7.99 0.99 7.84 0.93

B 10 5.32 11.23 3.51 8.12 2.81 5.39 2.25 3.125
25 5.30 21.98 4.52 18.6 3.52 14.87 2.64 10.64
50 6.79 13.72 5.13 8.82 4.07 7.77 3.09 5.12

G: gamma estimator; LL: local linear estimator; Model A: exponential survival times with uniform censoring times; Model B: Weibull survival times with Weibull censoring times. The results are based on 1000 replications.