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The authors show that the central bankers of the 1970s failed to adhere to the modern "Taylor rule", a formula that links the appropriate level of short-term interest rates to the deviation of output from its trend and inflation from its target.
Output is decomposed in trend and cycle in a similar way as in the Clark (1987) model, whereas inflation depends on past inflation and the deviation of output from its potential level.
As in IMF (2010), this paper follows a 'standard' approach in dating business cycles using the level of output instead of the output gap (deviation of output from its long-run trend)6.
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We consider a data generating process (DGP) that models the deviation of the output from the best practice frontier as the sum of two components, a one-sided inefficiency term and a two-sided random noise term.
Figure 13 shows histograms (bin width 1 nT) of the deviation of model output from the input data, and in all cases, this is centered on zero with some scatter, quantified as the standard deviation listed in Table 3's last column.
Thus, each therapy model is in the form of the equation system presented in Figure 2B, with a diseased input, u tot,d, and a different parameter set obtained solving a least-square optimization problem that minimizes the deviation of its output from the healthy one.
The parameters a and b are positive numbers that describe how strongly the policy rate should respond to deviations of inflation from its target and of output from its potential.
Following the construction phase of the networks, the output was reproduced (network output) and the network was trained on input and output data until the deviation of the network output from the actual output was very small.
Any deviation of CO2 output levels from the WT optimum results in less growth and more secretion.
Based on a model of a square array of turbines, estimates are obtained for the reduction in the standard deviation of the power output from the turbine arrays as a function of the area of the square.
They usually give several percents of error in the noiseless case, where percentage error is defined as the energy of the deviation of the filter output from the desired chirp component normalized by the energy of that chirp.
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