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Table 33 Parameters of the best parametric models for \(T_c^{s}\) computed on real and simulated data for Tesla

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

Summary of the best statistical model selection

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

\(s=0\)

M

Best model

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

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

 

30%

Lognormal

0.0877–0.3399

0.5806–0.6975

 

40%

Lognormal

0.1129–0.3733

0.7110–0.8040

 

80%

Lognormal

0.1384–0.4066

0.9193–0.9602

\(s=5\)

M

Best model

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

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

 

30%

Lognormal

0.9041–0.8164

0.6380–0.7215

 

40%

Lognormal

1.2313–0.9856

0.7868–0.8303

 

80%

Lognormal

1.4796–1.0228

0.9973–0.9272

\(s=50\)

M

Best model

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

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

 

30%

Lognormal

0.3989–0.5211

0.4982–0.6520

 

40%

Lognormal

0.5723–0.6550

0.6047–0.7115

 

80%

Lognormal

0.7741–0.7735

0.8020–0.8563

\(s=100\)

M

Best model

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

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

 

30%

Lognormal

0.1857–0.3694

0.4075–0.5145

 

40%

Lognormal

0.3282–0.4584

0.4483–0.5883

 

80%

Lognormal

0.4978–0.5804

0.6265–0.6985