Research Article

Forecasting Using Information and Entropy Based on Belief Functions

Table 6

Regression results.

normstdsstdShannon entropyRenyi entropyTsallis entropy

Estimate
Intercept−43.7037 (0.0000) [0.0000]−43.3522 (0.0000) [0.0000]−41.3097 (0.0000) [0.0000]−38.6949 (0.0000)−38.6950 (0.0000)−38.7344 (0.0000)

AIR0.8891 (0.0000) [0.0000]0.8980 (0.0000) [0.0000]0.8605 (0.0000) [0.0000]0.7894 (0.0000)0.7890 (0.0000)0.7317 (0.0000)

WATER0.8166 (0.0049) [0.0723]0.7823 (0.0043) [0.1001]0.8154 (0.0079) [0.0000]1.1918 (0.0007)1.1918 (0.0007)1.2315 (0.0008)

ACID−0.1071 (0.3361) [0.2179]−0.1094 (0.3114) [0.2357]−0.1155 (0.1733) [0.2495]−0.1821 (0.2631)−0.1821 (0.2630)−0.1828 (0.2644)

() is value, [] is , and ∗∗∗ is . For the case of entropy, the support is initially set to (−50, 0, 50) and the supports for to (−3, 0, 3), where is computed form the conventional LS estimation.