Spectral Density Estimation and Robust Hypothesis Testing Using Steep Origin Kernels without Truncation By
نویسندگان
چکیده
A new class of kernels for long-run variance and spectral density estimation is developed by exponentiating traditional quadratic kernels. Depending on whether the exponent parameter is allowed to grow with the sample size, we establish different asymptotic approximations to the sampling distribution of the proposed estimators. When the exponent is passed to infinity with the sample size, the new estimator is consistent and shown to be asymptotically normal. When the exponent is fixed, the new estimator is inconsistent and has a nonstandard limiting distribution. It is shown via Monte Carlo experiments that, when the chosen exponent is small in practical applications, the nonstandard limit theory provides better approximations to the finite sample distributions of the spectral density estimator and the associated test statistic in regression settings.
منابع مشابه
" Fixed-smoothing Asymptotics and Ac- Curate F Approximation Using Vector Autoregressive Covariance Ma
Kiefer, N. M., Vogelsang, T. J., and Bunzel, H. (2000), “Simple Robust Testing of Regression Hypotheses,” Econometrica, 68, 695–714. [311,314] King, M. L. (1980), “Robust Tests for Spherical Symmetry and Their Application to Least Squares Regression,” The Annals of Statistics, 8, 1265–1271. [316] ——— (1987), “Towards a Theory of Point Optimal Testing,” Econometric Reviews, 6, 169–218. [315] Leh...
متن کاملConsistent Hac Estimation and Robust Regression Testing Using Sharp Origin Kernels with No Truncation
متن کامل
A New Approach to Robust Inference in Cointegration
A new approach to robust testing in cointegrated systems is proposed using nonparametric HAC estimators without truncation. While such HAC estimates are inconsistent, they still produce asymptotically pivotal tests and, as in conventional regression settings, can improve testing and inference. JEL Classi cation: C12; C14; C22 Keywords: Cointegration, HAC estimation, robust inference, steep orig...
متن کاملWhite noise testing and model diagnostic checking for functional time series
This paper is concerned with white noise testing and model diagnostic checking for stationary functional time series. To test for the functional white noise null hypothesis, we propose a Cramér-von Mises type test based on the functional periodogram introduced by Panaretos and Tavakolithe (2013a). Using the Hilbert space approach, we derive the asymptotic distribution of the test statistic unde...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2006