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Theorem 1 presents local bounds for the energy of the coefficient deviation when running from an iteration to the next one.
Also, the steady state mean square coefficient deviation (MSD) is given by mathrm{MSD}={mu}^2{sigma}_v^2{varphi}^T{left(mathbf{I}-mathbf{P}right)}^{-1}mathrm{vec}left(mathbf{I}right) (39).
Table 10 Relative effects All countries Excluding Eastern Europe Variable Standard Relative Standard Relative deviation coefficient deviation coefficient GDP per capita 14.32 -2.06 6.80 -1.05 Unemployment rate 3.91 -0.09 4.16 0.02 Income tax 6.87 -0.43 5.61 -0.24 Life satisfaction 0.21 0.20 0.55 0.22 Corruption 21.51 -0.17 19.98 -0.18.
Indeed, (12) states that the coefficient deviation does not change when no coefficient update is actually implemented, whereas (13) provides a bound for (| tilde {mathbf {w}} k+1) |^{2}) based on (| tilde {mathbf {w}}(k) |^{2}), (tilde {e}^{2} k)), and n 2 k), when an update occurs.
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