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. Author manuscript; available in PMC: 2011 Mar 23.
Published in final edited form as: Ann Stat. 2010 Jan 1;38(6):3605–3629. doi: 10.1214/10-AOS821

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)