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Table 4 Results on conditional entropy. The table reports the Sharpe ratio and conditional entropy for nine AR (1) processes with different parameters. The Sharpe ratio is denoted by SR, and the conditional entropy is denoted by H

From: How to compare market efficiency? The Sharpe ratio based on the ARMA-GARCH forecast

Group

(1)

(2)

(3)

(4)

(5)

(6)

(7)

(8)

(9)

a1

0

0.045

0.145

0.245

0.345

0.445

0.545

0.645

0.745

μg (%)

0

0.0539

0.1754

0.3024

0.4399

0.5947

0.7780

1.0102

1.3367

SR

0

0.0359

0.1165

0.1993

0.2863

0.3798

0.4829

0.6002

0.7392

H

0.9960

0.9985

0.9968

0.9835

0.9706

0.9453

0.9018

0.8461

0.7835

0.9995

0.9966

0.9897

0.9869

0.9597

0.8900

0.8958

0.8571

0.7892

0.9994

0.9978

0.9923

0.9823

0.9546

0.9305

0.8800

0.8704

0.7984

0.9978

0.9933

0.9919

0.9724

0.9180

0.9493

0.9101

0.8694

0.7760

0.9979

0.9979

0.9875

0.9773

0.9578

0.9379

0.9138

0.8466

0.7887