Table 2.
Shrinkage factor esimates based on 1000 simulation. “Factor” indicates the theoretical asymptotic factor, “Estimate1” indicates the empirical shrinkage factor estimator, ‘Estimate2” indicates the asymptotic shrinkage factor estimator. For each estimator, each entry represents mean of 1, 000 simulation results with standard error in parentheses.
γ | n | PC 1 |
PC 2 |
||||
---|---|---|---|---|---|---|---|
Factor | Factor Estimate1 | Factor Estimate2 | Factor | Factor Estimate1 | Factor Estimate2 | ||
1 | 100 | 0.88 | 0.88(0.017) | 0.87(0.076) | 0.75 | 0.75(0.044) | 0.76(0.063) |
200 | 0.88(0.013) | 0.87(0.054) | 0.75(0.027) | 0.75(0.044) | |||
20 | 100 | 0.51 | 0.51(0.037) | 0.51(0.038) | 0.33 | 0.34(0.033) | 0.32(0.038) |
200 | 0.51(0.025) | 0.51(0.026) | 0.34(0.022) | 0.33(0.028) | |||
100 | 100 | 0.30 | 0.30(0.024) | 0.30(0.030) | 0.17 | 0.17(0.019) | 0.17(0.023) |
200 | 0.30(0.017) | 0.30(0.023) | 0.18(0.013) | 0.17(0.017) | |||
500 | 100 | 0.16 | 0.15(0.014) | 0.16(0.020) | 0.08 | 0.08(0.010) | 0.08(0.013) |
200 | 0.15(0.010) | 0.16(0.014) | 0.08(0.007) | 0.08(0.009) |