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Table 7 Stochastic BCC efficiency scores in different periods \(\alpha =0.5\)

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

0.7846

0.9096

0.9316

1.0000

0.9069

1.0000

0.8171

1.0000

2

0.8829

0.8829

0.8763

1.0000

0.6117

0.7418

0.9473

1.0000

3

0.5743

0.6346

0.6348

0.8180

0.8748

0.7349

0.8397

0.8472

4

0.4065

0.5138

0.5141

0.4969

0.4294

1.0000

0.5054

0.5887

5

0.0792

0.0780

0.0802

0.0970

0.0971

0.1096

0.0960

0.0947

6

0.8055

0.9846

1.0000

1.0000

0.8049

0.6712

1.0000

0.9373

7

0.1108

0.1031

0.1049

0.0941

0.0992

0.1399

0.1331

0.1218

8

0.9550

0.8819

0.8561

0.7156

0.4769

0.3423

0.3589

0.3373

9

1.0000

0.9261

0.9138

0.8760

0.8959

1.0000

1.0000

0.9579

10

1.0000

0.9307

0.9004

1.0000

0.7611

0.7018

1.0000

1.0000

11

0.4527

0.4732

0.4765

0.4623

0.5352

0.5230

0.5946

0.5697

12

0.7957

0.7422

0.6661

0.7116

0.5479

0.4524

0.8424

0.8208

13

0.6315

0.6287

0.6231

0.6202

0.5907

0.5895

0.5901

0.9303

14

0.6998

0.6921

0.6593

0.6281

0.6261

0.6222

0.6194

0.5901

15

0.7879

0.7468

0.7377

0.7330

0.7318

0.7196

0.7163

0.6774

Min

0.0792

0.0780

0.0802

0.0941

0.0971

0.1096

0.0960

0.0947

Max

1.0000

0.9846

1.0000

1.0000

0.9069

1.0000

1.0000

1.0000

Mean

0.6644

0.6752

0.6650

0.6835

0.5993

0.6232

0.6707

0.6982

Std

0.2922

0.2840

0.2808

0.2979

0.2533

0.2786

0.2979

0.3113

Median

0.7846

0.7422

0.6661

0.7156

0.6117

0.6712

0.7163

0.8208