Table 37 Estimated regression coefficients and MSEs of the selected estimators in the Apprentice Migration Dataset. Bold value indicates minimum MSE.

From: New ridge parameter estimators for the quasi-Poisson ridge regression model

Estimators

\({\widehat{\beta }}_{0}\)

\({\widehat{\beta }}_{1}\)

\({\widehat{\beta }}_{2}\)

\({\widehat{\beta }}_{3}\)

\({\widehat{\beta }}_{4}\)

MSEs

CV

PRESS

QLE

3.8472

− 0.0347

0.0211

− 0.0403

0.544

907.164

14.903

0.8262

\({k}_{1}\)

0.388

− 0.0194

0.0302

− 0.0127

1.0542

7.415

4.424

0.0163

\({k}_{2}\)

0.1069

− 0.0067

0.0308

0.0208

0.3942

1.64

2.391

0.0228

\({k}_{3}\)

0.0028

0.0069

0.031

0.0233

0.0101

4.76

1.086

0.0317

\({k}_{4}\)

0.0231

− 0.0003

0.0312

0.0332

0.0875

1.487

1.659

0.0327

\({k}_{5}\)

0.3708

− 0.019

0.0302

− 0.0116

1.0351

6.961

4.507

0.0156

\({k}_{6}\)

0.0241

− 0.0004

0.0312

0.0332

0.0914

1.474

1.692

0.0326

\({k}_{7}\)

0.0502

− 0.0027

0.031

0.03

0.1898

1.361

2.112

0.0293

\({k}_{8}\)

0.0305

− 0.001

0.0311

0.0326

0.1157

1.417

1.864

0.0318

\({k}_{9}\)

2.27E−16

8.55E−15

1.42E−14

5.82E−15

5.79E−16

15.1

1.004

0.1696

\({k}_{10}\)

0.0005

0.0108

0.0212

0.0097

0.0014

12.423

1.026

0.0450

\({k}_{11}\)

4.40E−13

1.66E−11

2.75E−11

1.13E−11

1.12E−12

15.1

1.000

0.1696

\({k}_{12}\)

0.0002

0.0058

0.01

0.0042

0.0005

14.332

1.016

0.0865

\({k}_{13}\)

3.812

− 0.0346

0.0212

− 0.0401

0.552

889.379

14.480

08,020

\({k}_{14}\)

3.8255

− 0.0346

0.0211

− 0.0402

0.5489

896.201

14.651

0.8112

\({k}_{15}\)

2.4101

− 0.0302

0.0249

− 0.0338

0.8664

325.778

5.152

0.2408

\({k}_{16}\)

0.0017

0.0091

0.0298

0.0189

0.0058

6.925

1.061

0.2376