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Table 7 ARFIMA–FIEGARCH parameter estimation of models

From: Long memory mean and volatility models of platinum and palladium price return series under heavy tailed distributions

Parameters

Normal platinum

Student

GED

Skewed student

Normal palladium

Student

GED

Skewed student

\(d_m\)

−0.4668***

−0.4012***

−0.3903***

−0.0488

−0.1190***

−0.4738***

0.0010

0.4776***

AR(1)

−0.2576***

−0.0012

0.0300

0.4407***

0.3981***

0.0399

0.4509***

0.0857*

MA(1)

0.3411***

0.1230

0.0863

−0.9404***

−0.9183***

0.1032***

0.9381***

0.0711*

\(d_v\)

0.8975***

0.9173***

0.9173***

0.6623***

0.2624***

0.9061***

0.8884***

0.9088***

ARCH(\(\alpha _1\))

1.1344***

1.2337***

1.2557***

−0.6664***

−0.8026***

−0.3899***

0.5881***

0.4803***

GARCH(\(\beta _1\))

−0.8946***

−0.8977***

−0.9047***

0.8725***

0.9845

−0.2092*

0.0432

0.2842***

EGARCH(\(\theta _1\))

0.0234***

0.0645***

0.0433***

0.0414

0.0212

−0.0092

0.0387*

0.0061

EGARCH(\(\theta _2\))

0.2187***

0.2279***

0.2122***

0.1367

0.4046***

0.4426***

0.4089***

0.3307***

Akaike

–2.2483

–2.2809

–2.2885

–2.4602

−1.1975

−1.1087

−1.2389

−1.1452

Schwarz

–2.2358

–2.2668

–2.2743

–2.4413

−1.1817

−1.0945

−1.2216

−1.1278

ARCH-LM

0.8213

14.202***

14.175***

1.6987

4.0757**

3.5115**

0.60530

2.2058

  1. *, ** and *** represent the significant level at 10, 5 and 1% levels respectively