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Table 7: Mean Absolute Value (MAE) and Root Mean Squared Error (RMSE) of 1-, 6-, 12-, and 24-Steps-Ahead Forecasts for Metro and Bus Tickets and Travel Cards for Alternative Models

Forecasting periods: 2000-2002

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  SMT 10MT SBT 10BT TC JTC
Causal DHR Causal DHR Causal DHR Causal DHR Causal DHR Causal DHR
h = 1                        
MAE 0.031 0.035 0.039 0.041 0.039 0.046 0.027 0.041 0.025 0.031 0.029 0.034
RMSE 0.037 0.043 0.049 0.054 0.059 0.066 0.034 0.051 0.043 0.041 0.039 0.043
h = 6                        
MAE 0.046 0.054 0.065 0.055 0.085 0.09 0.029 0.038 0.036 0.044 0.026 0.04
RMSE 0.051 0.066 0.085 0.067 0.119 0.113 0.038 0.05 0.059 0.053 0.03 0.046
h = 12                        
MAE 0.078 0.085 0.103 0.075 0.115 0.112 0.027 0.04 0.027 0.043 0.022 0.029
RMSE 0.088 0.1 0.123 0.089 0.142 0.128 0.034 0.05 0.051 0.051 0.03 0.036
h = 24                        
MAE 0.156 0.233 0.13 0.107 0.14 0.268 0.032 0.064 0.073 0.074 0.075 0.049
RMSE 0.174 0.265 0.18 0.134 0.164 0.287 0.039 0.085 0.144 0.096 0.095 0.059