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Table 35 Parameters of the best parametric models for \(T_c^{s}\) computed on real and simulated data for Apple

From: Drawdown-based risk indicators for high-frequency financial volumes

Summary of the best statistical model selection

for \(T_c^{s}\)-APPLE

\(s=0\)

M

Best model

Real data (\(\mu\), \(\sigma\))

Simulated data (\(\mu\), \(\sigma\))

 

30%

Lognormal

0.0330–0.1482

0.5250–0.6557

 

40%

Lognormal

0.0495–0.2349

0.6359–0.6579

 

80%

Lognormal

0.0770–0.3069

0.8650–0.8141

\(s=5\)

M

Best model

Real data (\(\mu\), \(\sigma\))

Simulated data (\(\mu\), \(\sigma\))

 

30%

Lognormal

0.5917–0.6636

0.4381–0.5573

 

40%

Lognormal

0.8012–0.7931

0.7647–0.8047

 

80%

Lognormal

0.9900–0.8993

1.0009–0.8483

\(s=50\)

M

Best model

Real data (\(\mu\), \(\sigma\))

Simulated data (\(\mu\), \(\sigma\))

 

30%

Lognormal

0.3130–0.4504

0.3922–0.5238

 

40%

Lognormal

0.5157–0.6311

0.6145–0.7248

 

80%

Lognormal

0.8013–0.7750

0.7285–0.8288

\(s=100\)

M

Best model

Real data (\(\mu\), \(\sigma\))

Simulated data (\(\mu\), \(\sigma\))

 

30%

Lognormal

0.3517-0.4951

0.4024-0.5734

 

40%

Lognormal

0.4972–0.5911

0.5489–0.6637

 

80%

Lognormal

0.6628–0.7115

0.5882–0.7923