Table 6 Median of 100×ISE, as well as first and third quartiles [ Q₁,Q₃] for the oracle GSS and nonparametric (NP) deconvolution estimators, sample sizes n=50,100

π ₀

(0.2,N)

0.315

0.865

0.199

0.591

[0.126,0.712]

[0.473,1.489]

[0.086,0.400]

[0.351,0.975]

(0.5,N)

0.431

1.400

0.288

1.040

[0.177,0.899]

[0.802,2.254]

[0.115,0.594]

[0.626,1.621]

(0.2,L)

0.322

0.687

0.203

0.445

[0.141,0.715]

[0.350,1.243]

[0.086,0.425]

[0.222,0.795]

(0.5,L)

0.421

0.835

0.255

0.548

[0.185,1.019]

[0.401,1.635]

[0.114,0.592]

[0.245,0.991]

π ₁

(0.2,N)

2.290

3.830

1.984

3.094

[1.622,3.180]

[2.713,5.300]

[1.383,2.680]

[2.249,4.064]

(0.5,N)

2.830

5.576

2.512

4.803

[2.059,3.932]

[4.037,7.598]

[1.817,3.504]

[3.510,6.312]

(0.2,L)

2.088

3.370

1.608

2.389

[1.435,2.880]

[2.303,4.641]

[1.142,2.273]

[1.678,3.297]

(0.5,L)

2.410

4.077

1.977

3.138

[1.742,3.391]

[2.864,5.798]

[1.405,2.755]

[2.248,4.427]

π ₂

(0.2,N)

2.658

3.031

1.900

2.305

[1.464,4.274]

[1.737,4.675]

[1.138,2.873]

[1.500,3.287]

(0.5,N)

4.482

5.360

3.924

4.682

[2.566,6.831]

[3.193,7.536]

[2.344,5.602]

[2.954,6.372]

(0.2,L)

1.968

2.101

1.132

1.264

[1.052,3.412]

[1.228,3.458]

[0.606,1.878]

[0.785,1.995]

(0.5,L)

3.333

3.121

2.498

2.080

[1.880,5.838]

[1.862,5.038]

[1.276,4.039]

[1.172,3.255]