Table 2 The point estimation results of \(\vartheta\) from Set-1.

From: Analysis of Weibull time metrics using normal operating via partially accelerated tests with improved adaptive progressive censoring and its applications

\((n_1,n_2)\)

\((m_{1},m_{2})\)

Test

MLE

Bayes

Group-1

Group-2

MPE

RMSE

MARB

MPE

RMSE

MARB

MPE

RMSE

MARB

\((T_{11},T_{12},T_{21},T_{22}) = ({0.5,\ 1.0,\ 0.4,\ 0.8})\)

(40,30)

(20, 10)

[1]

1.761

0.768

0.507

1.131

0.686

0.449

1.349

0.570

0.374

[2]

1.888

0.805

0.532

1.457

0.725

0.476

1.618

0.537

0.336

[3]

1.803

0.742

0.481

1.498

0.616

0.406

1.285

0.482

0.314

(30, 20)

[1]

1.742

0.697

0.421

1.231

0.527

0.343

1.196

0.418

0.251

[2]

1.885

0.726

0.463

1.326

0.566

0.368

1.260

0.462

0.268

[3]

1.773

0.648

0.420

1.261

0.511

0.324

1.222

0.367

0.206

(60,50)

(30, 20)

[1]

1.620

0.607

0.384

1.486

0.477

0.281

1.357

0.339

0.190

[2]

1.828

0.644

0.416

1.251

0.489

0.305

1.226

0.340

0.190

[3]

1.749

0.572

0.363

1.152

0.449

0.279

1.123

0.306

0.176

(40, 30)

[1]

1.631

0.559

0.358

1.318

0.440

0.262

1.742

0.241

0.137

[2]

1.914

0.565

0.362

1.393

0.444

0.264

1.785

0.304

0.172

[3]

1.679

0.558

0.346

1.237

0.407

0.246

1.567

0.240

0.128

(80,90)

(40, 50)

[1]

1.452

0.533

0.321

1.303

0.323

0.199

1.340

0.201

0.107

[2]

1.705

0.538

0.339

1.429

0.389

0.221

1.451

0.232

0.125

[3]

1.642

0.469

0.285

1.441

0.306

0.178

1.455

0.181

0.101

(60, 70)

[1]

1.551

0.450

0.262

1.555

0.300

0.170

1.396

0.174

0.092

[2]

1.620

0.468

0.281

1.796

0.302

0.174

1.291

0.179

0.098

[3]

1.576

0.394

0.233

1.355

0.188

0.108

1.497

0.161

0.076

\((T_{11},T_{12},T_{21},T_{22}) = ({1.0,\ 1.5,\ 0.8,\ 1.2})\)

(40,30)

(20, 10)

[1]

1.707

0.687

0.454

1.399

0.670

0.439

1.409

0.543

0.345

[2]

1.776

0.725

0.480

1.483

0.709

0.466

1.507

0.543

0.345

[3]

1.720

0.671

0.442

1.600

0.587

0.380

1.516

0.448

0.280

(30, 20)

[1]

1.581

0.627

0.405

1.344

0.492

0.313

1.481

0.386

0.238

[2]

1.681

0.646

0.415

1.368

0.494

0.318

1.507

0.405

0.265

[3]

1.558

0.625

0.346

1.281

0.490

0.312

1.415

0.316

0.203

(60,50)

(30, 20)

[1]

1.632

0.542

0.342

1.351

0.428

0.275

1.503

0.287

0.183

[2]

1.743

0.575

0.344

1.428

0.465

0.300

1.570

0.290

0.185

[3]

1.611

0.537

0.342

1.350

0.428

0.267

1.478

0.253

0.160

(40, 30)

[1]

1.848

0.528

0.325

1.625

0.386

0.234

2.089

0.201

0.105

[2]

1.858

0.532

0.327

1.703

0.402

0.260

2.155

0.228

0.128

[3]

1.587

0.511

0.300

1.300

0.344

0.220

1.442

0.196

0.099

(80,90)

(40, 50)

[1]

1.437

0.452

0.281

1.452

0.288

0.171

1.646

0.162

0.081

[2]

1.583

0.482

0.295

1.617

0.295

0.173

1.780

0.162

0.081

[3]

1.339

0.449

0.267

1.197

0.255

0.143

1.423

0.159

0.078

(60, 70)

[1]

1.379

0.380

0.225

1.365

0.181

0.106

1.381

0.142

0.078

[2]

1.478

0.390

0.241

1.180

0.242

0.135

1.491

0.144

0.078

[3]

1.406

0.339

0.195

1.491

0.178

0.104

1.419

0.140

0.072

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