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Full-Text Articles in Social and Behavioral Sciences
Nonlinear Econometric Models With Cointegrated And Deterministically Trending Regressors, Yoosoon Chang, Joon Y. Park, Peter C.B. Phillips
Nonlinear Econometric Models With Cointegrated And Deterministically Trending Regressors, Yoosoon Chang, Joon Y. Park, Peter C.B. Phillips
Cowles Foundation Discussion Papers
This paper develops an asymptotic theory for a general class of nonlinear nonstationary regressions, extending earlier work by Phillips and Hansen (1990) on linear cointegrating regressions. The model considered accommodates a linear time trend and stationary regressors, as well as multiple I(1) regressors. We establish consistency and derive the limit distribution of the nonlinear least squares estimator. The estimator is consistent under fairly general conditions but the convergence rate and the limiting distribution are critically dependent upon the type of the regression function. For integrable regression functions, the parameter estimates converge at a reduced n 1 /4 rate and have …
Nonstationary Binary Choice, Joon Y. Park, Peter C.B. Phillips
Nonstationary Binary Choice, Joon Y. Park, Peter C.B. Phillips
Cowles Foundation Discussion Papers
This paper develops an asymptotic theory for time series binary choice models with nonstationary explanatory variables generated as integrated processes. Both logit and probit models are covered. The maximum likelihood (ML) estimator is consistent but a new phenomenon arises in its limit distribution theory. The estimator consists of a mixture of two components, one of which is parallel to and the other orthogonal to the direction of the true parameter vector, with the latter being the principal component. The ML estimator is shown to converge at a rate of n 3 /4 along its principal component but has the slower …