H0: Linear Model H1: PSTR model with at least one Threshold Variable (r=1)
Wald Tests (LM): W = 36.631 pvalue = 0.000
Fisher Tests (LMF): F = 3.761 pvalue = 0.000
LRT Tests (LRT): LRT = 36.829 pvalue = 0.000
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*** TESTING THE NUMBER OF REGIMES: TESTS OF NO REMAINING NON-LINEARITY ***
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Initial Conditions : Assumed Number of Thresholds r = 1 Number of Regressions = 270
Initial Conditions on (c,gamma)
3.5000 9.3399
Estimation of the Model with r = 1 and m = 1 : Convergence = 1 RSS = 83.473
RSS under H1 = 82.732
Initial Conditions : Assumed Number of Thresholds r = 2 Number of Regressions = 270
Initial Conditions on (c,gamma)
3.2631 0.2000 9.3025 10.7293
Estimation of the Model with r = 2 and m = 1 : Convergence = 1 RSS = 82.634
WARNING: At least one estimated Location Parameter is outside the trimming for a PTR model
The location Parameter should range from 8.9409 to 10.8456 in a PTR model
RSS under H1 = 82.513
H0: PSTR with r = 1 against H1: PSTR with at least r = 2
Wald Tests (LM): W = 30.224 pvalue = 0.000
Fisher Tests (LMF): F = 3.079 pvalue = 0.001
LRT Tests (LRT): LRT = 30.359 pvalue = 0.000
H0: PSTR with r = 2 against H1: PSTR with at least r = 3
Wald Tests (LM): W = 4.974 pvalue = 0.837
Fisher Tests (LMF): F = 0.501 pvalue = 0.874
LRT Tests (LRT): LRT = 4.977 pvalue = 0.836
Given the choices of rmax = 2 and m = 1, the OPTIMAL (LMF criterion) NUMBER OF THRESHOLD FUNCTIONS is r = 2
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*** FINAL ESTIMATION OF PSTR MODEL ***
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Final Estimation of the Model with r = 2 and m = 1 by NLS ***
Initial Conditions on (gamma,c) :
2.0731 0.1333 9.3398 165.2791
WARNING FINAL ESTIMATION: At least one estimated Location Parameter is outside the trimming for a PTR model
The location Parameter must range from 8.9409 to 10.8456 for a PTR model
RSS = 82.634 Convergence = 1
AIC = -3.692 BIC = -3.636
Estimated slope parameter of the transition function (one for for each transition function)
2.0731 0.1333
Estimated location parameters (per column for each transition function)
9.3398 172.5100
Estimated slope parameters (per column for each transition function)
1.0e+09 *