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Table 8 Diebold-Mariano Test

From: Hybrid data decomposition-based deep learning for Bitcoin prediction and algorithm trading

 

LMH-BiLSTM

One-step ahead

Two-step ahead

Three-step ahead

MH-BiLSTM

\({-1.677}^{*}\)

\({-1.748}^{*}\)

\({-1.773}^{*}\)

LH-BiLSTM

\({-1.986}^{*}\)

\({-1.829}^{*}\)

\({-3.490}^{***}\)

LM-BiLSTM

\({-2.614}^{**}\)

\({-2.762}^{**}\)

\({-2.827}^{***}\)

H-BiLSTM

\({-3.744}^{***}\)

\({-3.501}^{***}\)

\({-5.641}^{***}\)

M-BiLSTM

\({-4.813}^{***}\)

\({-6.749}^{***}\)

\({-5.007}^{***}\)

L-BiLSTM

\({-4.150}^{***}\)

\({-7.225}^{***}\)

\({-7.912}^{***}\)

BiLSTM

\({-4.509}^{***}\)

\({-6.340}^{***}\)

\({-6.072}^{***}\)

LSTM

\({-6.021}^{***}\)

\({-10.960}^{***}\)

\({-10.704}^{***}\)

SVR

\({-7.159}^{***}\)

\({-12.613}^{***}\)

\({-12.180}^{***}\)

LR

\({-10.662}^{***}\)

\({-18.090}^{***}\)

\({-17.118}^{***}\)

ARIMA

\({-6.104}^{***}\)

\({-7.241}^{***}\)

\({-7.910}^{***}\)

  1. ***, **, and * respectively denotes the statistical significance level of 1%, 5%, and 10%. The elements in this table indicate Diebold-Mariano statistics