Table Tabnumbreak .

From: Optimal estimation of power Chris-Jerry distribution parameters using ranked set sampling design with application

\(\alpha =1.25,~\beta =0.3\)

30

\(\hat{\alpha }\)

1.70141

1.52278

1.34387

1.29423

1.58920

1.07888

1.51199

1.41540

1.64729

1.18709

1.09485

1.23592

1.30738

1.13527

1.23428

1.04753

 

\(\hat{\beta }\)

1.79699

1.71571

1.48854

1.41586

1.67360

1.41176

1.64401

1.57841

1.61603

1.14438

1.26571

1.22868

1.49510

1.13700

1.27238

1.10627

80

\(\hat{\alpha }\)

1.70377

1.54006

1.49712

1.33622

1.42820

1.04294

1.58254

1.39655

1.48348

1.28333

1.14046

1.06983

1.34879

1.28186

1.17995

1.12467

 

\(\hat{\beta }\)

1.87898

1.88235

1.79812

1.65278

1.66509

1.35000

1.71564

1.70000

1.64414

1.36000

1.40938

1.08760

1.65909

1.42262

1.32526

1.24180

150

\(\hat{\alpha }\)

1.75627

1.53293

1.59606

1.28378

1.63527

1.13183

1.39302

1.40118

1.36590

1.28800

1.17893

1.05847

1.27331

1.21526

1.13682

1.21491

 

\(\hat{\beta }\)

2.08750

1.86022

1.89623

1.57798

1.96330

1.50515

1.61157

1.73404

1.64348

1.43781

1.33523

1.16616

1.41732

1.25490

1.40625

1.24345

300

\(\hat{\alpha }\)

1.80769

1.52326

1.51707

1.37725

1.34112

1.17089

1.20362

1.49704

1.51389

1.13622

1.18072

1.05637

1.18305

1.28809

1.16949

1.23016

 

\(\hat{\beta }\)

2.00000

1.89362

1.83019

1.66000

1.66667

1.44000

1.50794

1.82979

1.79245

1.37624

1.37805

1.15385

1.32911

1.32520

1.36000

1.35246

400

\(\hat{\alpha }\)

1.60000

1.50806

1.49324

1.34091

1.37736

1.16071

1.34868

1.53600

1.34302

1.21121

1.21622

1.06980

1.21320

1.09428

1.16201

1.11327

 

\(\hat{\beta }\)

1.86667

1.82353

1.70000

1.65000

1.60465

1.41176

1.57778

1.80000

1.61905

1.41096

1.44068

1.19531

1.40741

1.22449

1.37500

1.22549

500

\(\hat{\alpha }\)

1.61728

1.41414

1.45802

1.34694

1.40625

1.32558

1.40496

1.37000

1.56296

1.08854

1.38356

1.12392

1.30986

1.15419

1.17730

1.13305

 

\(\hat{\beta }\)

1.95652

1.67857

1.60000

1.67857

1.67647

1.61538

1.67647

1.74074

1.79412

1.24590

1.55319

1.19811

1.46154

1.29730

1.38636

1.22078

\(\alpha =0.9,~\beta =2.5\)

30

\(\hat{\alpha }\)

1.27454

1.24672

1.86914

1.39055

1.85018

1.73654

1.44006

1.49598

1.29150

1.62811

1.22503

1.31287

2.05606

1.47641

1.16251

1.55376

 

\(\hat{\beta }\)

2.28646

3.15762

1.87820

1.98017

1.68934

1.61953

3.04005

3.13282

2.64807

1.91848

1.57274

3.78567

2.60472

3.01311

1.82263

1.37744

80

\(\hat{\alpha }\)

1.41767

1.63424

1.54532

1.32851

1.65146

1.26245

1.79693

1.43019

1.39706

2.06309

1.27436

1.26009

1.82615

1.11362

1.24468

1.13851

 

\(\hat{\beta }\)

2.06619

2.03667

2.09095

3.12850

3.02504

2.77317

2.32425

2.67357

3.00911

2.87109

1.32963

1.67093

2.36051

1.32191

1.56270

1.19298

150

\(\hat{\alpha }\)

1.47120

1.35125

1.70927

1.31959

1.87915

1.11392

1.43772

2.04869

1.50602

1.22979

1.35396

1.29265

1.57214

1.06022

1.10598

1.48491

 

\(\hat{\beta }\)

3.04908

2.34292

2.90185

2.67979

2.46682

2.78696

3.00474

3.08644

2.79245

1.91041

1.48316

1.89883

2.87688

1.77418

2.59608

1.75482

300

\(\hat{\alpha }\)

1.82727

1.58197

1.81714

1.36154

1.76923

1.01623

1.36129

1.72593

1.11790

1.05714

1.56970

1.36636

1.54709

1.10738

1.20112

1.11258

 

\(\hat{\beta }\)

1.91925

2.42259

2.80562

3.40409

3.01887

1.75000

2.95640

2.45514

2.43268

1.68911

1.68900

1.74303

1.84385

1.26162

2.40783

1.63574

400

\(\hat{\alpha }\)

1.46753

1.89474

1.86555

1.62319

1.32026

1.18577

1.41129

2.90278

1.54412

1.41781

1.17460

1.62319

1.56954

1.60131

1.24779

1.42500

 

\(\hat{\beta }\)

3.10189

2.92982

2.20833

3.68992

3.39252

2.22434

2.41414

2.35556

2.12045

1.73810

1.76957

2.18129

2.31232

1.47773

1.82341

2.10881

500

\(\hat{\alpha }\)

1.79310

1.71605

1.48485

1.64062

1.57732

1.20976

1.42222

1.87302

1.73529

1.05634

1.04545

1.44118

1.49425

1.33094

1.14815

1.34177

 

\(\hat{\beta }\)

2.61411

2.64643

3.35874

2.36290

3.51673

2.80866

2.72444

2.81385

2.62963

1.60417

2.23608

1.77373

2.19868

1.51381

1.75107

1.44399

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