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Table 13 Statistical description of stochastic technical change (STC)

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

Alpha

Indicators

2014–2015

2015–2016

2016–2017

2017–2018

2018–2019

2019–2020

2020–2021

0.1

Min

0.7436

0.7039

0.7508

0.7273

0.2001

1.3405

0.3989

Median

0.9026

1.0455

1.0743

0.9124

0.9151

1.5918

1.0562

Max

1.5289

1.1456

2.8250

1.1824

2.1276

2.2714

1.3487

Mean

0.9519

0.9965

1.2875

0.9137

0.9182

1.6297

0.9998

Std

0.1919

0.1159

0.4740

0.0983

0.3815

0.2448

0.2455

0.3

Min

0.7866

0.6996

0.7508

0.7258

0.2107

1.3072

0.4142

Median

0.9335

1.0560

1.1289

0.9045

0.9050

1.5161

1.0436

Max

1.5277

1.1159

2.8937

1.1745

2.2414

2.0305

1.3064

Mean

0.9791

0.9978

1.3122

0.8988

0.9343

1.5594

0.9805

Std

0.1728

0.1170

0.4928

0.1083

0.4014

0.1853

0.2260

0.5

Min

0.6576

0.5891

0.6483

0.6180

0.2219

0.5449

0.4360

Median

0.9516

1.0519

1.1597

0.8983

0.9278

1.4801

1.0079

Max

2.0794

1.1192

7.4377

1.1695

2.8283

2.2847

1.2924

Mean

1.0415

1.0079

1.6229

0.8887

0.9894

1.4462

0.9427

Std

0.3066

0.1310

1.5857

0.1249

0.5332

0.5274

0.2000