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Table 6 The stochastic value-based scale elasticity scores of 71 banks \(\left(\beta =0.99\right)\)

From: Data envelopment analysis for scale elasticity measurement in the stochastic case: with an application to Indian banking

Banks

\(\gamma =0.1\)

\(\gamma =0.3\)

\(\gamma =0.5\)

ε−

ε+

RTS

ε−

ε+

 

ε−

ε+

RTS

1

1.0070

\(\infty\)

D

1.0109

\(\infty\)

D

1.0142

\(\infty\)

D

2

1.0484

11.4017

D

1.0533

9.5235

D

1.0576

6.6385

D

3

1.0106

6.2381

D

1.0110

6.1751

D

1.0125

5.5490

D

4

1.2171

1.2171

D

1.1296

1.1296

D

1.0012

1.0012

D

5

–

–

 

− 3.2891

17.3709

C

− 0.6043

7.3817

C

6

1.5299

\(\infty\)

D

1.7047

\(\infty\)

D

2.0646

\(\infty\)

D

7

1.0098

3.1783

D

1.0210

2.3129

D

1.0253

1.8738

D

8

0.8946

386.0003

C

0.8946

184.0351

C

0.9196

139.9671

C

9

–

–

 

1.1603

\(\infty\)

D

3.7360

\(\infty\)

D

10

− 0.3848

\(\infty\)

C

− 0.1447

\(\infty\)

C

0.0521

\(\infty\)

C

11

–

–

 

–

–

 

-

–

 

12

1.4826

1.4826

D

1.5579

1.5579

D

1.0385

1.0385

D

13

1.0730

\(\infty\)

D

1.0776

\(\infty\)

D

1.0812

\(\infty\)

D

14

1.1860

1.1860

D

1.2406

1.2406

D

1.3145

1.3145

D

15

1.1639

10.5830

D

1.1647

7.6843

D

1.2100

5.0648

D

16

1.1293

19.9930

D

1.1335

15.9026

D

1.1501

14.3304

D

17

1.0167

6.5567

D

1.0173

6.1923

D

1.0470

5.7073

D

18

1.0466

30.4380

D

1.0740

28.0507

D

1.1022

26.5802

D

19

0.7687

\(\infty\)

C

0.8313

\(\infty\)

C

0.9020

\(\infty\)

C

20

0.5361

6.9435

C

0.5556

5.6046

C

0.5858

5.1075

C

21

0.5521

\(\infty\)

C

0.6984

\(\infty\)

C

0.7706

\(\infty\)

C

22

 

–

 

–

–

 

–

–

 

23

2.5434

2.5434

D

1.8331

1.8331

D

1.4801

1.4801

D

24

1.0066

4.9098

D

1.0073

4.4078

D

1.0952

1.9956

D

25

1.2750

1.2750

D

1.2639

1.2639

D

1.0701

1.0701

D

26

1.4901

1.4901

D

1.3415

1.3415

D

1.0367

1.0367

D

27

1.0482

1.0482

D

1.0529

1.0529

D

1.1343

1.1343

D

28

0.9772

0.9772

I

0.9696

0.9696

I

0.9910

0.9910

I

29

1.0572

\(\infty\)

D

1.1094

4.7523

D

1.2502

2.1401

D

30

–

–

 

–

–

 

–

–

 

31

− 0.6268

3.4159

C

− 0.5915

3.4132

C

− 0.5477

3.2967

C

32

1.1490

1.1490

D

1.1351

1.1351

D

1.1212

1.1212

D

33

1.2137

1.2137

D

1.1724

1.1724

D

1.0755

1.0755

D

34

− 2.6725

\(\infty\)

C

0.2401

\(\infty\)

C

0.4459

\(\infty\)

C

35

0.8935

13.1266

C

0.8939

9.0470

C

0.9215

6.2906

C

36

1.4157

1.4157

D

1.4922

1.4922

D

1.9398

1.9398

D

37

1.1977

1.1977

D

1.2772

1.2772

D

0.9729

0.9729

I

38

1.0843

1.0843

D

1.0848

1.0848

D

1.1231

1.1231

D

39

0.9801

1.5486

C

0.9871

1.5434

C

1.0063

1.5222

D

40

0.9624

1.4947

C

0.9928

1.2083

C

1.0434

1.0434

D

41

0.6076

0.6076

I

0.6242

0.6242

I

0.7192

0.7192

I

42

–

–

 

1.0972

1.0972

D

1.0928

1.0928

D

43

1.0018

1.0018

D

0.9012

0.9012

I

0.9093

0.9093

I

44

− 2.2609

2.5154

C

− 0.6889

0.9334

I

0.4000

0.6492

I

45

–

–

 

–

–

 

–

–

 

46

1.2482

1.2482

D

1.3302

1.3302

D

1.5969

1.5969

D

47

0.8720

3.1493

C

1.1119

2.6207

D

1.5761

1.7330

D

48

–

–

 

–

–

 

–

–

 

49

− 69.9568

1.5018

C

− 61.9179

1.7270

C

− 53.7488

1.8606

C

50

1.0538

1.0538

D

1.0576

1.0576

D

1.0668

1.0668

D

51

− 1.5390

3.1575

C

0.2397

2.0498

C

0.7446

0.7446

I

52

–

–

 

–

–

 

–

–

 

53

1.1025

1.1025

D

1.0088

1.0088

D

1.0845

1.0845

D

54

− 56.2616

− 0.0074

I

− 55.5663

− 0.0121

I

− 54.7889

− 0.0168

I

55

1.4872

1.4872

D

1.4227

1.4227

D

1.4280

1.4280

D

56

1.8469

1.8469

D

1.5170

1.5170

D

1.4573

1.4573

D

57

–

–

 

0.4696

10.5619

C

1.0211

1.0211

D

58

0.8103

0.8103

I

0.7229

0.7229

I

0.8094

0.8094

I

59

0.1205

0.1205

I

0.0320

0.0320

I

− 0.2105

− 0.2105

I

60

1.0048

23.1924

D

1.0048

6.6976

D

1.0369

3.6683

D

61

–

–

 

–

–

 

\(\infty\)

\(\infty\)

C

62

0.8635

0.8635

I

0.8724

0.8724

I

0.7810

0.7810

I

63

0.9400

0.9400

I

0.9386

0.9386

I

0.9337

0.9337

I

64

–

–

 

–

–

 

–

–

 

65

0.4776

0.8810

I

0.6441

0.6441

I

0.7026

0.7026

I

66

0.0877

0.0877

I

0.6432

0.6432

I

0.6943

0.6943

I

67

0.1652

0.1652

I

0.1652

0.1652

I

0.3640

0.3640

I

68

–

–

 

− 6.6082

0.3660

I

− 2.7329

− 0.0182

I

69

0.9598

\(\infty\)

C

0.9606

48.2857

C

0.9765

19.3679

C

70

1.1957

\(\infty\)

D

1.2744

1.2744

D

1.2085

1.2085

D

71

0.5607

0.5607

I

0.5548

0.5548

I

0.4803

0.4803

I

  1. RTS Returns to scale, I IRS, C CRS, D DRS
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