Dimension

BDS Statistic

Std. Error

z-Statistic

Normal Prob.

Bootstrap Prob.

Chicago Futures

2

0.021

0.008

2.736

0.006

0.017*

3

0.042

0.012

3.427

0.001

0.006*

Paranaguá

2

0.023

0.006

3.521

0.000

0.004*

3

0.028

0.010

2.728

0.006

0.022*

China Spot

2

0.028

0.009

3.190

0.001

0.010*

3

0.039

0.014

2.792

0.005

0.018*

Rosario Futures

2

0.016

0.007

2.441

0.015

0.040*

3

0.023

0.011

2.157

0.031

0.054

Dalian Futures

2

0.003

0.007

0.423

0.672

0.624

3

0.000

0.011

−0.029

0.977

0.899

Rosario Spot

2

0.015

0.006

2.364

0.018

0.045*

3

0.017

0.010

1.741

0.082

0.117

Rotterdam

2

0.012

0.007

1.648

0.099

0.136

3

0.012

0.012

1.013

0.311

0.312

Dimension

Epsilon (1)

c(m, n)

Epsilon (2)

c(1, n − (m − 1))

c(1, n − (m − 1))^k

Chicago Futures

2

3705

0.510

5079

0.700

0.489

3

2715

0.380

4976

0.697

0.338

Paranaguá

2

3729

0.514

5087

0.701

0.491

3

2630

0.368

4985

0.698

0.340

China Spot

2

3767

0.519

5089

0.701

0.491

3

2714

0.380

4991

0.699

0.342

Rosario Futures

2

3703

0.510

5102

0.703

0.494

3

2615

0.366

5000

0.700

0.343

Dalian Futures

2

3575

0.492

5080

0.700

0.490

3

2466

0.345

5011

0.702

0.346

Rosario Spot

2

3696

0.509

5105

0.703

0.494

3

2591

0.363

5011

0.702

0.346

Rotterdam

2

3664

0.505

5095

0.702

0.493

3

2530

0.354

4995

0.700

0.342