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Table 7 The stochastic value-based scale elasticity scores of 71 banks \(\left(\beta =1.01\right)\)

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+

RTS

ε−

ε+

RTS

1

–

–

 

–

–

 

–

–

 

2

1.1224

10.4163

D

1.1061

8.8375

D

1.1014

6.3011

D

3

1.0137

5.9619

D

1.0140

5.9036

D

1.0152

5.3158

D

4

1.2119

1.2119

D

1.1267

1.1267

D

1.0012

1.0012

D

5

–

–

 

− 2.6940

15.5703

C

− 0.4779

7.0734

C

6

–

–

 

–

–

 

–

–

 

7

1.0131

3.1929

D

1.0226

2.3752

D

1.0263

1.8924

D

8

3.0215

89.0920

D

2.0734

78.8639

D

1.4649

73.7518

D

9

–

–

 

–

–

 

–

–

 

10

–

–

 

–

–

 

–

–

 

11

–

–

 

–

–

 

–

–

 

12

1.4685

1.4685

D

1.5409

1.5409

D

1.0377

1.0377

D

13

–

–

 

–

–

 

–

–

 

14

1.1816

1.1816

D

1.2347

1.2347

D

1.3063

1.3063

D

15

1.2217

9.8184

D

1.2044

7.2693

D

1.2541

4.9562

D

16

1.3305

18.0472

D

1.2855

14.8425

D

1.2920

13.5378

D

17

1.0198

6.2966

D

1.0275

5.9595

D

1.0647

5.5147

D

18

1.1402

27.5945

D

1.1539

25.6261

D

1.1870

24.3983

D

19

–

–

 

–

–

 

–

–

 

20

0.5807

6.6688

C

0.5916

5.4475

C

0.6181

4.9857

C

21

–

–

 

–

–

 

–

–

 

22

–

–

 

–

–

 

–

–

 

23

2.4679

2.4679

D

1.8033

1.8033

D

1.4662

1.4662

D

24

1.0101

4.7680

D

1.0104

4.3468

D

1.1098

1.9997

D

25

1.2681

1.2681

D

1.2574

1.2574

D

1.0687

1.0687

D

26

1.4758

1.4758

D

1.3324

1.3324

D

1.0360

1.0360

D

27

1.0472

1.0472

D

1.0518

1.0518

D

1.1313

1.1313

D

28

0.9776

0.9776

I

0.9702

0.9702

I

0.9912

0.9912

I

29

–

–

 

1.1196

4.5847

D

1.2460

2.1130

D

30

–

–

 

–

–

 

–

–

 

31

− 0.5584

3.4046

C

− 0.5238

3.4018

C

− 0.4832

3.2879

C

32

1.1456

1.1456

D

1.1321

1.1321

D

1.1185

1.1185

D

33

1.2086

1.2086

D

1.1684

1.1684

D

1.0739

1.0739

D

34

–

–

 

–

–

 

–

–

 

35

0.9119

11.8882

C

0.9066

8.4868

C

0.9281

6.0777

C

36

1.4041

1.4041

D

1.4778

1.4778

D

1.9043

1.9043

D

37

1.1930

1.1930

D

1.2703

1.2703

D

0.9735

0.9735

I

38

1.0825

1.0825

D

1.0829

1.0829

D

1.1204

1.1204

D

39

0.9822

1.5426

C

0.9892

1.5375

C

1.0078

1.5155

D

40

0.9646

1.4918

C

0.9937

1.2074

C

1.0426

1.0426

D

41

0.6124

0.6124

I

0.6289

0.6289

I

0.7232

0.7232

I

42

–

–

 

1.0951

1.0951

D

1.0908

1.0908

D

43

1.0017

1.0017

D

0.9029

0.9029

I

0.9110

0.9110

I

44

− 2.2179

2.5914

C

− 0.6758

0.9568

I

0.4139

0.6563

I

45

\(\infty\)

0.8628

I

\(\infty\)

0.8371

I

\(\infty\)

0.7066

I

46

1.2421

1.2421

D

1.3216

1.3216

D

1.5783

1.5783

D

47

0.8841

3.1421

C

1.1379

2.6032

D

1.5605

1.7129

D

48

–

–

 

–

–

 

–

–

 

49

− 219.7403

5.0918

C

− 154.0041

4.5834

C

− 110.4810

4.0562

C

50

1.0527

1.0527

D

1.0564

1.0564

D

1.0654

1.0654

D

51

− 1.4407

3.2094

C

0.2627

2.0679

C

0.7483

0.7483

I

52

–

–

 

–

–

 

–

–

 

53

1.1003

1.1003

D

1.0086

1.0086

D

1.0827

1.0827

D

54

− 102.4507

0.1322

I

− 99.5819

0.1174

I

− 96.4785

0.1028

I

55

1.4729

1.4729

D

1.4109

1.4109

D

1.4160

1.4160

D

56

1.8164

1.8164

D

1.5016

1.5016

D

1.4442

1.4442

D

57

–

–

 

0.5426

9.9700

C

1.0206

1.0206

D

58

0.8134

0.8134

I

0.7683

0.7683

I

0.8125

0.8125

I

59

0.1226

0.1226

I

0.0327

0.0327

I

− 0.2156

− 0.2156

I

60

1.0303

19.9213

D

1.0118

6.4833

D

1.0390

3.6271

D

61

–

–

 

–

–

 

–

–

 

62

0.8658

0.8658

I

0.8746

0.8746

I

0.7844

0.7844

I

63

0.9411

0.9411

I

0.9398

0.9398

I

0.9350

0.9350

I

64

–

–

 

\(\infty\)

\(\infty\)

C

\(\infty\)

0.4563

I

65

0.4872

0.8892

I

0.6486

0.6486

I

0.7068

0.7068

I

66

0.2510

0.2510

I

0.6478

0.6478

I

0.6986

0.6986

I

67

0.1679

0.1679

I

0.1679

0.1679

I

0.3687

0.3687

I

68

–

–

 

− 7.0120

0.4185

I

− 2.7988

0.0006

I

69

–

–

 

0.9809

33.3982

C

0.9842

16.6515

C

70

–

–

 

1.2675

1.2675

D

1.2036

1.2036

D

71

0.5657

0.5657

I

0.5598

0.5598

I

0.4852

0.4852

I

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