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Table 3 Results of BDS test for the residuals of seasonal ARIMA model

From: Time series analysis of human brucellosis in mainland China by using Elman and Jordan recurrent neural networks

Epsilon

Dimension

Statistic

p-value

1.838

2

2.751

0.006

1.838

3

3.532

0.000

1.838

4

2.997

0.002

3.677

2

2.241

0.025

3.677

3

2.603

0.009

3.677

4

2.524

0.012

5.515

2

2.371

0.018

5.515

3

2.452

0.014

5.515

4

2.317

0.021

7.354

2

2.624

0.009

7.354

3

2.572

0.010

7.354

4

2.472

0.013