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Table 9 Bias-corrected efficiency scores for \(\alpha =0.5\)

From: A firm-specific Malmquist productivity index model for stochastic data envelopment analysis: an application to commercial banks

Bank

2014

2015

2016

2017

2018

2019

2020

2021

1

0.7403(7)

0.8884(3)

0.8408(3)

0.9057(3)

0.8497(1)

0.9311(3)

0.7974(6)

0.9031(3)

2

0.819(4)

0.8263(5)

0.7953(5)

0.9006(4)

0.5903(7)

0.724(4)

0.939(3)

0.9536(1)

3

0.5666(11)

0.6001(11)

0.5747(11)

0.8176(6)

0.8024(3)

0.6396(6)

0.8331(5)

0.755(8)

4

0.3575(12)

0.4408(13)

0.4537(13)

0.4555(12)

0.3744(13)

0.964(1)

0.5016(11)

0.5002(12)

5

0.0207(15)

0.0172(15)

0.0658(14)

0.0684(14)

0.0573(15)

0.0496(15)

0.0516(15)

0.0075(15)

6

0.7795(5)

0.8937(1)

0.9451(1)

0.9704(1)

0.7787(4)

0.6083(8)

0.9408(2)

0.8943(4)

7

0.0649(14)

0.0974(14)

0.0268(15)

0.0099(15)

0.0904(14)

0.1224(14)

0.0733(14)

0.0909(14)

8

0.8911(3)

0.8261(6)

0.7872(6)

0.6867(7)

0.471(11)

0.2539(13)

0.2637(13)

0.2612(13)

9

0.9127(2)

0.856(4)

0.825(4)

0.8437(5)

0.8456(2)

0.9412(2)

0.9292(4)

0.8609(5)

10

0.9435(1)

0.891(2)

0.874(2)

0.9551(2)

0.7183(5)

0.6318(7)

0.9698(1)

0.9399(2)

11

0.372(13)

0.4603(12)

0.4664(12)

0.4025(13)

0.4665(12)

0.4495(11)

0.4951(12)

0.5222(10)

12

0.7613(6)

0.7381(7)

0.5823(9)

0.6249(9)

0.4723(10)

0.3574(12)

0.7491(7)

0.7841(7)

13

0.6141(10)

0.6149(10)

0.5787(10)

0.5818(11)

0.5758(9)

0.5775(10)

0.5055(10)

0.8363(6)

14

0.6224(9)

0.6299(9)

0.617(8)

0.5989(10)

0.5809(8)

0.5794(9)

0.5834(9)

0.5114(11)

15

0.6936(8)

0.7118(8)

0.693(7)

0.6464(8)

0.6333(6)

0.6709(5)

0.6223(8)

0.6162(9)

Min

0.0207

0.0172

0.0268

0.0099

0.0573

0.0496

0.0516

0.0075

Max

0.9435

0.8937

0.9451

0.9704

0.8497

0.9640

0.9698

0.9536

Mean

0.6106

0.6328

0.6084

0.6312

0.5538

0.5667

0.6170

0.6291

Std

0.2888

0.2772

0.2723

0.2977

0.2443

0.2801

0.3058

0.3091

Median

0.6936

0.7118

0.6170

0.6464

0.5809

0.6083

0.6223

0.7550

  1. Numbers in parentheses show the ranks of the banks