E[X im ] | \( \alpha_{i}^{1} = 0 \) \( \gamma_{i}^{1} = 0 \) |
E[X 2 im ] | \( \alpha_{i}^{2} = 2 \) \( \gamma_{i}^{2} = 0 \) |
E[X 4 im ] | \( \alpha_{i}^{4} = 2 \) \( \gamma_{i}^{4} = 0 \) |
E[X im X jm ] | \( \alpha_{ij}^{11} = 4\delta_{ 1} + 2\left[ {\delta_{ 2} + \delta_{ 3} + \delta_{ 4} + \delta_{ 5} + \delta_{ 9} + \delta_{ 1 2} } \right] + \delta_{ 10} + \delta_{ 1 1} + \delta_{ 1 3} + \delta_{ 1 4} = 4a_{ij} \) \( \gamma_{ij}^{ 1 1} = 0 \) |
E[X im X 3 jm ] | \( \alpha_{ij}^{13} = 16\delta_{1} + 2\left( {\delta_{2} + \delta_{3} ) + 8(\delta_{4} + \delta_{5} } \right) + 2\left( {\delta_{9} + \delta_{12} } \right) + \delta_{10} + \delta_{11} + \delta_{13} + \delta_{14} \) \( \gamma_{ij}^{13} = 2 4\delta_{ 1} + 1 2\left( {\delta_{ 4} + \delta_{ 5} } \right) \) |
E[X 2 im X 2 jm ] | \( \alpha_{ij}^{22} = 1 6\delta_{ 1} + 4\left( {\delta_{ 2} + \delta_{ 3} + \delta_{ 4} + \delta_{ 5} } \right) + 2\left( {\delta_{ 9} + \delta_{ 1 2} } \right) + \delta_{ 10} + \delta_{ 1 1} + \delta_{ 1 3} + \delta_{ 1 4} \) \( \gamma_{ij}^{22} = 4 8\delta_{ 1} + 8\left( {\delta_{ 2} + \delta_{ 3} + \delta_{ 4} + \delta_{ 5} } \right) - 4\delta_{ 1 5} - 1 6\delta_{ 6} - 8\left( {\delta_{ 7} + \delta_{ 8} } \right) \) |