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Table 8 OMPI and PMPI values for the 31 Iranian provinces (2015-2016)

From: DEA Malmquist productivity index based on a double-frontier slacks-based model: Iranian road safety assessment

Provinces

\( {D}_0^{15}\left({x}_0^{15},{y}_0^{15}\right) \)

\( {D}_0^{15}\left({x}_0^{16},{y}_0^{16}\right) \)

\( {D}_0^{16}\left({x}_0^{16},{y}_0^{16}\right) \)

\( {D}_0^{16}\left({x}_0^{15},{y}_0^{15}\right) \)

OEC

OTC

OMPI

\( {\overset{\sim }{\boldsymbol{D}}}_{\mathbf{0}}^{\mathbf{15}}\left({\boldsymbol{x}}_{\mathbf{0}}^{\mathbf{15}},{\boldsymbol{y}}_{\mathbf{0}}^{\mathbf{15}}\right) \)

\( {\overset{\sim }{\boldsymbol{D}}}_{\mathbf{0}}^{\mathbf{15}}\left({\boldsymbol{x}}_{\mathbf{0}}^{\mathbf{16}},{\boldsymbol{y}}_{\mathbf{0}}^{\mathbf{16}}\right) \)

\( {\overset{\sim }{\boldsymbol{D}}}_{\mathbf{0}}^{\mathbf{16}}\left({\boldsymbol{x}}_{\mathbf{0}}^{\mathbf{16}},{\boldsymbol{y}}_{\mathbf{0}}^{\mathbf{16}}\right) \)

\( {\overset{\sim }{\boldsymbol{D}}}_{\mathbf{0}}^{\mathbf{16}}\left({\boldsymbol{x}}_{\mathbf{0}}^{\mathbf{15}},{\boldsymbol{y}}_{\mathbf{0}}^{\mathbf{15}}\right) \)

OMPI

 Azerbaijan E

0.2863

0.1908

0.3343

0.5138

1.1676

0.5640

0.6585

 Azerbaijan W

0.2927

0.1617

0.2812

0.5291

0.9606

0.5641

0.5419

 Ardabil

0.3970

0.2940

0.4724

0.6423

1.1899

0.6202

0.7380

 Isfahan

0.2740

0.1480

0.2353

0.4553

0.8587

0.6152

0.5282

 Alborz

1.7734

0.6387

1.5789

2.1783

0.8903

0.5739

0.5109

 Ilam

1.1475

1.0624

1.3190

1.3890

1.1494

0.8158

0.9376

 Bushehr

0.5171

0.3292

0.5236

1.0139

1.0125

0.5663

0.5733

 Tehran

0.4281

0.0988

0.1575

1.0094

0.3679

0.5157

0.1897

 Chaharmahal and Bakhtiari

1.0309

0.3343

0.6007

1.0945

0.5827

0.7240

0.4219

 Khorasan S

0.5001

0.4181

0.6784

1.0646

1.3565

0.5381

0.7299

 Khorasan R

0.1673

0.1249

0.2047

0.2801

1.2233

0.6039

0.7387

 Khorasan N

0.4571

0.3370

0.5569

0.7962

1.2183

0.5894

0.7181

 Khuzestan

1.0381

0.2455

0.4288

1.2626

0.4131

0.6862

0.2834

 Zanjan

0.3010

0.2409

0.3922

0.5116

1.3030

0.6011

0.7832

 Semnan

0.3173

0.3053

0.4869

0.5058

1.5347

0.6271

0.9625

 Sistan and Baluchistan

0.2136

0.1267

0.2079

0.3412

0.9732

0.6176

0.6011

 Fars

0.2824

0.1850

0.2984

0.4959

1.0566

0.5941

0.6278

 Qazvin

0.4634

0.3990

0.6651

1.0423

1.4351

0.5165

0.7412

 Qom

0.4203

0.3252

0.5034

1.0056

1.1977

0.5196

0.6223

 Kurdistan

0.2615

0.2211

0.3895

0.4603

1.4892

0.5679

0.8457

 Kerman

0.1914

0.1552

0.2612

0.3279

1.3649

0.5890

0.8038

 Kermamshah

0.4265

0.2913

0.5306

1.0175

1.2441

0.4797

0.5968

 Kohgiluyeh and Boyer-Ahmad

1.0360

0.5375

1.1429

1.2945

1.1032

0.6135

0.6768

 Golestan

0.4128

0.3147

0.6022

1.0148

1.4589

0.4610

0.6726

 Guilan

0.3162

0.2589

0.4472

0.5545

1.4141

0.5746

0.8125

 Lorestan

0.1672

0.1122

0.1849

0.3008

1.1056

0.5809

0.6422

 Mazandaran

0.3851

0.3095

0.5226

1.0263

1.3570

0.4714

0.6397

 Markazi

0.3026

0.1894

0.3209

0.5100

1.0604

0.5919

0.6276

 Hormozgan

1.0160

0.5313

1.1155

1.3389

1.0979

0.6012

0.6601

 Hamedan

0.2295

0.1696

0.3021

0.4176

1.3165

0.5554

0.7311

 Yazd

0.6286

0.3213

0.5235

1.2915

0.8328

0.5465

0.4551

Mean

    

1.0706

0.5795

0.6204

Provinces

\( {d}_0^{15}\left({x}_0^{15},{y}_0^{15}\right) \)

\( {d}_0^{15}\left({x}_0^{16},{y}_0^{16}\right) \)

\( {d}_0^{16}\left({x}_0^{16},{y}_0^{16}\right) \)

\( {d}_0^{16}\left({x}_0^{15},{y}_0^{15}\right) \)

PEC

PTC

PMPI

\( {\boldsymbol{d}}_{\mathbf{0}}^{\mathbf{15}}\left({\boldsymbol{x}}_{\mathbf{0}}^{\mathbf{15}},{\boldsymbol{y}}_{\mathbf{0}}^{\mathbf{15}}\right) \)

\( {\overset{\sim }{\boldsymbol{d}}}_{\mathbf{0}}^{\mathbf{15}}\left({\boldsymbol{x}}_{\mathbf{0}}^{\mathbf{16}},{\boldsymbol{y}}_{\mathbf{0}}^{\mathbf{16}}\right) \)

\( {\overset{\sim }{\boldsymbol{d}}}_{\mathbf{0}}^{\mathbf{16}}\left({\boldsymbol{x}}_{\mathbf{0}}^{\mathbf{16}},{\boldsymbol{y}}_{\mathbf{0}}^{\mathbf{16}}\right) \)

\( {\overset{\sim }{\boldsymbol{d}}}_{\mathbf{0}}^{\mathbf{16}}\left({\boldsymbol{x}}_{\mathbf{0}}^{\mathbf{15}},{\boldsymbol{y}}_{\mathbf{0}}^{\mathbf{15}}\right) \)

PMPI

 Azerbaijan E

1.8027

0.9952

2.0065

3.4933

1.1130

0.5059

0.5631

 Azerbaijan W

1.8450

0.9132

1.6839

3.3195

0.9126

0.5490

0.5011

 Ardabil

2.6402

1.9507

3.1363

4.2084

1.1879

0.6247

0.7420

 Isfahan

1.6224

0.8902

1.5026

2.9699

0.9261

0.5689

0.5269

 Alborz

6.9547

4.5652

7.1264

10.8206

1.0247

0.6417

0.6575

 Ilam

3.7500

3.6444

7.7097

8.4609

2.0559

0.4577

0.9410

 Bushehr

3.4279

2.1886

3.4073

5.6397

0.9940

0.6248

0.6211

 Tehran

3.0670

0.6598

0.8579

4.7441

0.2797

0.7051

0.1972

 Chaharmahal and Bakhtiari

3.4720

2.0628

3.8560

6.8044

1.1106

0.5225

0.5802

 Khorasan S

3.0937

2.5899

4.3876

5.8182

1.4182

0.5602

0.7945

 Khorasan R

0.9089

0.7301

0.9875

1.7403

1.0864

0.6214

0.6751

 Khorasan N

2.9191

2.1175

3.6344

4.9800

1.2451

0.5844

0.7276

 Khuzestan

3.4037

0.9210

2.5899

6.0655

0.7609

0.4467

0.3399

 Zanjan

1.8868

1.5159

2.5513

3.3254

1.3522

0.5806

0.7851

 Semnan

2.0413

1.9541

3.1181

3.2418

1.5275

0.6282

0.9595

 Sistan and Baluchistan

0.9427

0.7047

0.8512

2.1527

0.9029

0.6021

0.5436

 Fars

1.8157

0.9518

1.9661

3.2007

1.0828

0.5240

0.5674

 Qazvin

3.1530

2.7874

4.3957

5.1310

1.3941

0.6242

0.8703

 Qom

0.9994

0.9206

3.5998

4.7038

3.6019

0.2331

0.8396

 Kurdistan

0.9609

0.9374

0.9770

2.3753

1.0168

0.6230

0.6334

 Kerman

0.9895

0.9189

1.6322

2.1255

1.6495

0.5120

0.8445

 Kermamshah

2.7598

1.8778

3.2442

4.7679

1.1755

0.5788

0.6804

 Kohgiluyeh and Boyer-Ahmad

4.1917

3.4689

6.2438

8.0350

1.4896

0.5384

0.8019

 Golestan

2.8295

2.0083

3.5271

4.6297

1.2466

0.5899

0.7354

 Guilan

2.0408

1.5210

2.7493

3.3825

1.3472

0.5777

0.7783

 Lorestan

0.9032

0.7246

0.9922

1.9070

1.0985

0.5881

0.6461

 Mazandaran

2.5066

0.9784

3.2417

4.0088

1.2933

0.4344

0.5618

 Markazi

0.9889

0.9340

2.0174

3.3470

2.0401

0.3698

0.7545

 Hormozgan

3.7247

3.0950

5.3188

7.2127

1.4280

0.5482

0.7828

 Hamedan

1.3760

0.9527

1.8566

2.5482

1.3493

0.5264

0.7103

 Yazd

4.1485

2.0537

3.2917

7.1689

0.7935

0.6009

0.4768

Mean

    

1.1926

0.5419

0.6462