### Table 3: Nonlinear dynamic model with trend

"... In PAGE 17: ... Turning to the model of income dynamics, Table 2 gives our estimates of equation (4) without the trend (suppressing the constant term in 4).7 Table3 gives the results including the 7 The sample mean annual income is Yuan 446 per capita at 1985 prices (with a standard deviation of 264), while the corresponding mean for expenditure is Yuan 345 (standard deviation of 166).... ..."

### Table 3: Nonlinear dynamic model with trend

"... In PAGE 14: ... Turning to the model of income dynamics, Table 2 gives our estimates of equation (4) without the trend (suppressing the constant term in 4).7 Table3 gives the results including the 7 The sample mean annual income is Yuan 446 per capita at 1985 prices (with a standard deviation ... ..."

### TABLE I Fuzzy model of the nonlinear dynamic plant.

### Table 2. Solution time (in minutes) for nonlinear dynamic analysis

"... In PAGE 38: ... model under three different conditions: without any intermediate storage, using Oracle database to save the information at every 20 time steps, and using file system to save the information at every 20 time steps. Table2 shows the solution time for the nonlinear dynamic analysis. Since the model is fairly large and some expensive elements (fiber element) and materials (nonlinear) are used in the model, the nonlinear dynamic analysis requires a significant amount of computational time.... ..."

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### TABLE II Fuzzy models of the nonlinear dynamic plant. All models are of the TSK type.

### Table 2 Nonlinear models.

1998

"... In PAGE 16: ... Much of the emphasis will be on the choice of bandwidth and the new aspects brought in by using local polynomial approximation. A power experiment on a wide class of nonlinear models listed in Table2 has been conducted in Section 6.3.... In PAGE 18: ...Table2 , however, where M1(x) is approximately quadratic (see Figure 1), as can be expected the best result is achieved with T = 2 and h = 1. For the ^ L(V1)-tests the size tends to be too low.... In PAGE 18: ... If no corrections are made for this e ect, it will lead to conservative tests. Figure 5 shows the power of the ^ L(V )-tests for model la) of Table2 , and we see the same general trend as for the ^ L(M)-tests; the optimal h increases with T and the derivative. Here ^ L1(V1) also has some power for h = 1 because the variance is constant, not only linear, under the null hypothesis.... In PAGE 18: ... Here ^ L1(V1) also has some power for h = 1 because the variance is constant, not only linear, under the null hypothesis. ^ L0(V1) is much more robust than ^ L0(M1), and this is the case for the other models listed in Table2 as well. 6.... In PAGE 18: ... In particular when we have a nonlinear model, we do of course not want h = 1 to be chosen when T = 0 or T = 1, but with a small autocorrelation, this may well happen for T = 0. In fact h = 1 was chosen in 136 of 500 realizations of model lc) of Table2 which is clearly nonlinear (cf. Figure 1).... In PAGE 19: ... 6.3 A power experiment for a wide set of models We have performed a power experiment for the models listed in Table2 , where t N(0; 0:62) in model ld) - lf), t N(0; 0:72) in lg) - lj) and t N(0; 1) in the other models. Models la) - lj), aa) - ag) and Aa) - Ag) are discussed in Luukkonen et al.... In PAGE 36: ...Figure 1-2: Plots of ^ M1(x) (Figure 1) and ^ V1(e) (Figure 2) for the models listed in Table2 with n = 100 000. The kernel estimator with bandwidth h = 0:2 is used and each plot consists of two realizations.... In PAGE 36: ... The possible values for h is given at the vertical axes. Figure 7: The gure is based on 500 realizations of the models in Table2 . It shows the power of ^ LT (M1) with h cross-validated and n = 100, 250 and 204 for models la) - li), aa) - ag) and Aa) - Ag), respectively.... In PAGE 36: ...ower achieved in Hjellvik and Tj stheim (1995). The nominal size is 0.05. Figure 8: The gure is based on 500 realizations of the models in Table2 and shows the power of ^ LT (V1) with h cross-validated and n = 100, 250 and 204 for models la), aa) - ag) and Aa) - Ag), respectively.... In PAGE 37: ....05 for the standard normal distribution has been used. The model is Xt = t, the bandwidth is h = n?1=9 and the number of realizations are 500. Table2 : Various nonlinear models. Models la) - lj), aa) - ag) and Aa) - Ag) are discussed in Luukkonen et al.... ..."

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### Table 6: Herd dynamics

2006

"... In PAGE 21: ... The sample splitting generated by the regression trees method thus reinforces the finding of a unique equilibrium for lower ability herders and multiple equilibria for the rest. Our estimates of the herd growth models associated with each terminal node appear in Table6 and are graphed in figure 12.29 Expected herd dynamics appear highly nonlinear in each regime.... ..."

### Table 4. Economic Performance Measurement

### Table 1. Effector Dynamics and Limits.

### Table 5: E#0Bects of Economics and Issues in 1996

1998

"... In PAGE 11: ...2 The Magnitude of the E#0Bects of the Independent Variables Since these estimated e#0Bects in the multinomial probit model translate into individual probabilities of candidate support in a complex and nonlinear manner, we need to trans- form these coe#0Ecient estimates into probabilities to help in our interpretation of the relative magnitude of each type of e#0Bect on this election. Thus, we present #5C#0Crst di#0Ber- ence quot; estimates in Table5 . We #0Crst set all of the independent variables to their sample mode or mean values.... In PAGE 12: ...of changes in the variable. Table5 Goes Here The #0Crst two entries in Table 5 show how much more important the state of the national economy was in determining voter choice in 1996 than were perceptions of per- sonal #0Cnances. Changes in a respondent apos;s perception of their personal #0Cnances produced very slight changes in the probability that the hypothetical voter would support each of the candidates.... In PAGE 12: ...of changes in the variable. Table 5 Goes Here The #0Crst two entries in Table5 show how much more important the state of the national economy was in determining voter choice in 1996 than were perceptions of per- sonal #0Cnances. Changes in a respondent apos;s perception of their personal #0Cnances produced very slight changes in the probability that the hypothetical voter would support each of the candidates.... In PAGE 12: ...31 more likely to support Dole if they saw the national economy as worse, not better. Next, we see from Table5 that opinions on cuts in both entitlement programs had strong impacts on candidate support. A voter who wanted to increase either program would be .... In PAGE 12: ...25 more likely to vote for Dole if they believed that the private sector should provide health care coverage and not the government. 4 E#0Bects of Candidate Spatial Locations The results presented in Table5 demonstrated that respondents apos; views of the issues played a strong role in determining voter choice in the 1996 presidential election. Here... ..."

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