备择分布

F1(x)a

F2(x)a

F3(x)a

F4(x)a

χ2(3)

G(1.5)b

Laplace

Cauchy

N(0, 1)

y = ( x 0.5 ) 2 + ε

Z R ^ 2 , q = 0.05

0.991

0.8755

0.7005

0.547

0.8543

0.8482

0.4814

0.9893

0.0498

Z R ^ 2 , q = 0.50

0.9862

0.7247

0.4932

0.3247

0.747

0.7363

0.3051

0.9819

0.0508

Z R ^ 2 , μ

0.9835

0.6765

0.441

0.2847

0.6985

0.6831

0.2669

0.9781

0.0506

Z R ^ 2 , q = 0.95

0.956

0.4219

0.2402

0.1468

0.4543

0.4416

0.1511

0.9402

0.0521

Dn

0.9366

0.4494

0.2742

0.2052

0.2696

0.2588

0.1567

0.9094

0.0517

A n 2

0.9548

0.4256

0.2215

0.1456

0.3183

0.2987

0.1225

0.9305

0.0539

BCMR

0.9802

0.6218

0.3882

0.2412

0.7025

0.69

0.2321

0.9727

0.0508

T2

0.986

0.722

0.4917

0.324

0.69

0.6753

0.306

0.9818

0.0505

W

0.9695

0.5226

0.3026

0.1803

0.7076

0.6885

0.1757

0.9569

0.0507

y = e x + ε

Z R ^ 2 , q = 0.05

0.9945

0.8954

0.7487

0.6022

0.8004

0.595

0.3878

0.9877

0.0502

Z R ^ 2 , q = 0.50

0.9904

0.7661

0.5566

0.3962

0.7

0.4714

0.2541

0.9783

0.0477

Z R ^ 2 , μ

0.9869

0.7198

0.5022

0.3453

0.6458

0.4161

0.2211

0.973

0.0469

Z R ^ 2 , q = 0.95

0.9637

0.4733

0.289

0.1833

0.4236

0.2424

0.1285

0.9398

0.0473

Dn

0.9548

0.4924

0.3202

0.2413

0.291

0.2127

0.1116

0.9133

0.0478

A n 2

0.9654

0.4853

0.2727

0.1808

0.3287

0.2106

0.0997

0.93

0.0471

BCMR

0.9838

0.6684

0.4484

0.2959

0.6463

0.4041

0.1895

0.9666

0.0475

T2

0.9895

0.764

0.5517

0.3934

0.6439

0.423

0.2527

0.977

0.0462

W

0.976

0.5699

0.3573

0.2206

0.6343

0.3844

0.1412

0.9549

0.0468

y = sin 2 π x + ε

Z R ^ 2 , q = 0.05

0.9973

0.938

0.822

0.7031

0.7768

0.4393

0.3493

0.99

0.057

Z R ^ 2 , q = 0.50

0.9955

0.8643

0.6947

0.544

0.7201

0.3619

0.2569

0.9833

0.0558

Z R ^ 2 , μ

0.9941

0.8227

0.6381

0.4842

0.6715

0.3196

0.2253

0.9795

0.0542

Z R ^ 2 , q = 0.95

0.9812

0.6095

0.4167

0.286

0.4794

0.1863

0.1382

0.9554

0.0536

Dn

0.9691

0.6023

0.4109

0.3259

0.2458

0.0969

0.0978

0.9194

0.0541

A n 2

0.9815

0.6326

0.4146

0.2901

0.3169

0.1041

0.1062

0.945

0.0515

BCMR

0.9915

0.7783

0.5756

0.4234

0.6636

0.3044

0.1908

0.9744

0.0545

T2

0.9953

0.8659

0.6984

0.5482

0.6809

0.3354

0.2597

0.9839

0.0544

W

0.985

0.6745

0.4646

0.3217

0.634

0.2679

0.1416

0.9624

0.0555