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We provide a limit theory for a general class of kernel smoothed U statistics that may be used for specification testing in time series regression with nonstationary data. The framework allows for linear and nonlinear models of cointegration and regressors that have autoregressive unit roots or...
Persistent link: https://www.econbiz.de/10013131589
, continuing to contribute to variance reduction in IV estimation. However, simulations show that OLS is generally superior to IV … estimation in terms of MSE, even in the presence of endogeneity. Estimation precision is also reduced when the regressor is …
Persistent link: https://www.econbiz.de/10013101153
estimation limit theory that encompasses stochastically nonstationary time series and should be of wide applicability …
Persistent link: https://www.econbiz.de/10012858171
A time-varying autoregression is considered with a similarity-based coefficient and possible drift. It is shown that the random walk model has a natural interpretation as the leading term in a small-sigma expansion of a similarity model with an exponential similarity function as its...
Persistent link: https://www.econbiz.de/10013075939
A limit theory is developed for multivariate regression in an explosive cointegrated system. The asymptotic behavior of the least squares estimator of the cointegrating coefficients is found to depend upon the precise relationship between the explosive regressors. When the eigenvalues of the...
Persistent link: https://www.econbiz.de/10012776773
We provide a new asymptotic theory for local time density estimation for a general class of functionals of integrated … to offer an alternative development of the asymptotic theory for non-parametric estimation of a non-linear cointegrating …
Persistent link: https://www.econbiz.de/10012778972
Estimation of the memory parameter (d) is considered for models of nonstationary fractionally integrated time series …
Persistent link: https://www.econbiz.de/10012779219
An infinite-order asymptotic expansion is given for the autocovariance function of a general stationary long-memory process with memory parameter d in (-1/2,1/2). The class of spectral densities considered includes as a special case the stationary and invertible ARFIMA(p,d,q) model. The leading...
Persistent link: https://www.econbiz.de/10012779221
In time series regressions with nonparametrically autocorrelated errors, it is now standard empirical practice to use kernel-based robust standard errors that involve some smoothing function over the sample autocorrelations. The underlying smoothing parameter b, which can be defined as the ratio...
Persistent link: https://www.econbiz.de/10012783449
nonparametric estimation where the focus is the nonparametric quantity itself and the choice rule balances asymptotic variance with … squared asymptotic bias. It turns out that the optimal bandwidth for interval estimation has a different expansion rate and is … typically substantially larger than the optimal bandwidth for point estimation of the standard errors. The new approach to …
Persistent link: https://www.econbiz.de/10012771849