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Table 1 Median of 100×ISE, as well as first and third quartiles [ Q1,Q3] for the oracle GSS and nonparametric (NP) deconvolution estimators

From: Density deconvolution for generalized skew-symmetric distributions

  

n=200

n=500

Ï€

(NSR,U)

GSS

NP

GSS

NP

Ï€0

(0.2,N)

0.131

0.442

0.070

0.282

  

[0.055,0.263]

[0.256,0.709]

[0.032,0.148]

[0.186,0.418]

 

(0.5,N)

0.199

0.817

0.122

0.596

  

[0.084,0.405]

[0.532,1.228]

[0.048,0.296]

[0.409,0.845]

 

(0.2,L)

0.113

0.273

0.058

0.147

  

[0.053,0.241]

[0.140,0.476]

[0.027,0.117]

[0.079,0.236]

 

(0.5,L)

0.148

0.327

0.076

0.169

  

[0.074,0.323]

[0.165,0.603]

[0.040,0.158]

[0.086,0.308]

Ï€1

(0.2,N)

1.690

2.453

1.400

1.875

  

[1.271,2.188]

[1.855,3.173]

[1.031,1.775]

[1.434,2.419]

 

(0.5,N)

2.277

4.079

2.034

3.514

  

[1.729,2.956]

[3.116,5.275]

[1.547,2.645]

[2.716,4.352]

 

(0.2,L)

1.200

1.701

0.712

1.096

  

[0.832,1.658]

[1.223,2.258]

[0.422,1.112]

[0.818,1.463]

 

(0.5,L)

1.542

2.353

1.025

1.615

  

[1.054,2.162]

[1.671,3.176]

[0.652,1.469]

[1.206,2.105]

Ï€2

(0.2,N)

1.410

1.768

1.004

1.289

  

[0.918,2.082]

[1.251,2.465]

[0.689,1.406]

[0.971,1.719]

 

(0.5,N)

3.068

3.896

2.483

3.153

  

[1.976,4.542]

[2.731,5.241]

[1.602,3.504]

[2.302,4.174]

 

(0.2,L)

0.638

0.754

0.315

0.434

  

[0.358,1.060]

[0.494,1.250]

[0.190,0.515]

[0.272,0.650]

 

(0.5,L)

1.413

1.310

0.667

0.707

  

[0.728,2.472]

[0.763,2.112]

[0.381,1.199]

[0.439,1.114]