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Table 36 Parameters of the best models for \(R_t^{s}\) 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 \(R_t^{s}\)-TESLA fixing \(M=80\%\)

\(s=0\)

\(M'\)

Best model

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

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

 

30%

Lognormal

2.4518–2.1359

3.8690–2.6808

 

40%

Lognormal

2.3364–2.0065

2.8326–1.9657

 

50%

Lognormal

2.2232–1.8870

2.3551–1.7134

\(s=5\)

\(M'\)

Best model

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

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

 

30%

Lognormal

1.8449–1.4644

3.1969–2.1557

 

40%

Lognormal

1.3389–1.2555

2.4572–1.5758

 

50%

Lognormal

0.9199–0.8682

2.0759–1.3965

\(s=50\)

\(M'\)

Best model

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

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

 

30%

Lognormal

2.2509–1.4937

2.6348–1.7452

 

40%

Lognormal

1.7833–1.1883

2.2369–1.5401

 

50%

Lognormal

1.4324–1.1423

1.7545–1.3654

\(s=100\)

\(M'\)

Best model

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

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

 

30%

Lognormal

2.1978–1.5592

2.2634–1.3890

 

40%

Lognormal

1.7927–1.4021

2.0196–1.3255

 

50%

Lognormal

1.5762–1.3999

1.7640–1.2639