Research Article

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

Table 1

Mean ( × 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 1.17 1.55 1.01 1.41 0.94 1.34 0.93 1.31
25 1.48 1.96 1.27 1.83 1.24 1.80 1.18 1.77
50 3.15 2.01 3.11 1.95 3.09 1.90 3.06 1.85

B 10 1.08 1.44 0.76 1.02 0.58 0.73 0.44 0.52
25 1.65 3.50 1.56 3.22 1.50 2.99 1.42 2.72
50 3.08 9.26 3.04 9.16 3.02 9.13 2.91 9.40

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.