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. Author manuscript; available in PMC: 2010 Nov 12.
Published in final edited form as: Ann Stat. 2010 Nov 1;38(5):2723–2750. doi: 10.1214/10-AOS802

Table 3.

Squared bias, variance and MSE of ρ̂, σ̂1 and σ̂2 in the estimate σ^A2(x). All quantities are multiplied by 106.

σ^A2(x)
ρ = −0.4 −0.2 0 0.2 0.4 0.6 0.8
ρ̂ Bias2 0.07 0.04 0.01 0.00 0.00 0.00 3.90
VAR 7.90 16.91 28.65 36.17 35.68 27.21 20.44
MSE 7.97 16.95 28.66 36.17 35.68 27.21 24.35

σ̂1 Bias2 0.24 0.23 0.19 0.14 0.11 0.05 2.47
VAR 11.65 11.52 11.79 12.46 13.64 15.55 18.66
MSE 11.89 11.75 11.99 12.60 13.75 15.59 21.12

σ̂2 Bias2 0.14 0.14 0.12 0.09 0.08 0.05 0.67
VAR 10.34 10.17 10.45 11.12 12.24 13.96 16.16
MSE 10.47 10.31 10.57 11.20 12.32 14.00 16.83