Instead of a linear model, we carry out the analysis using the nonlinear specification in Eq. 2, where the conditional expectation of the dependent binary variable is a nonlinear function that follows a Probit specification.
Ancillary findings based on our forecasting experiments underscore the advantages of using recursive estimation strategies, and provide new evidence of the usefulness of yield and yield-spread variables in nonlinear prediction model specification.
Nonlinear constraint Variable Specification Equivalent linear constraints , , and .
For specification of nonlinear geometry of ODBS, concrete nonlinearity is added to material nonlinearity in this paper.
By establishing the relationship between the design parameters and time-domain transient, it is shown that the design of an optimal generalised predictive controller to achieve desired time-domain specifications for nonlinear systems can be performed by looking up tables.
They exhibit many of the features that make the design and verification of CPS so difficult: hybrid dynamics, large continuous dynamics in each mode (e.g., 10 or more state variables), and nontrivial specifications involving nonlinear constraints on the state variables.
This interpretation is supported by the results from nonlinear correlated-random effects specifications.
When we exploit the panel data dimension of our data set and estimate linear fixed-effects and nonlinear correlated-random-effects specifications, the estimated coefficient of the union membership dummy is no longer significant at conventional standards in our preferred specifications based on the imputed data sets, but only at the 10%-level in two out of three cases.
Professor Hong's research interests include model specification testing, nonlinear time series analysis, generalized spectral analysis, econometrics of time-varying models, financial econometrics, interval-valued time series econometrics, and evaluation of Chinese economic policies.
Table 2 Bounds test for nonlinear cointegration Oil price specification F-Statistics 95% lower bound 95% upper bound Conclusion op rm 11.9022 4.428 6.250 Cointegration op usd 12.4833 Cointegration Notes: the critical values are from Narayan (2005), given the small sample size.
