
108 Modeling and Inverse Problems in the Presence of Uncertainty
TABLE 3.21: Average of 1000 Monte Carlo trials of
asymptotic theory and bootstrap (M = 250) estimates,
and standard errors, using GLS estimates for NCV data ,
σ
0
= 0.1 and N = 20.
θ
ˆ
θ
avg
SE
avg
(
ˆ
θ)
ˆ
K
asy
17.212625 0.533831
ˆr
asy
0.750631 0.021148
(ˆx
0
)
asy
0.119780 0.008379
ˆ
K
boot
17.210893 0.556522
ˆr
boot
0.750690 0.022585
(ˆx
0
)
boot
0.119753 0.008229
TABLE 3.22: Average of 1000 Monte Carlo trials of
asymptotic theory and bootstrap (M = 250) estimates,
and standard errors, using GLS estimates for NCV data ,
σ
0
= 0.1 and N = 25.
θ
ˆ
θ
avg
SE
avg
(
ˆ
θ)
ˆ
K
asy
17.233834 0.479995
ˆr
asy
0.750298 0.019315
(ˆx
0
)
asy
0.120060 ...