Limiting efficiency of OLS vs. GLS when regressors are fractionally integrated

نویسنده

  • Uwe Hassler
چکیده

We show that previous results on the asymptotic e ciency of OLS versus GLS in the context of trending data carry over to regressors of the fractionally integrated type

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Efficient Detrending in the Presence of Fractional Errors∗

This paper examines the efficiency gains of GLS detrending over OLS detrending in the model yt = z′ tγ + ut, where z ′ t = (1, t, ..., t k−1) and ut ∼ I(d), −1/2 < d < 3/2. A famous theorem on trend removal by OLS regression (usually attributed to Grenander and Rosenblatt (1957) gave conditions for the asymptotic equivalence of GLS and OLS in deterministic trend estimation with I(0) errors. Whe...

متن کامل

Asymptotic equivalence of ordinary least squares and generalized least squares with trending regressors and stationary autoregressive disturbances

This note generalizes previous results on the asymptotic equiva lence of Ordinary and Generalized Least Squares estimates in Li near Regression models with trending data This note considers the relative e ciency of OLS versus GLS in the linear regression model yt x t ut t where xt and are K and where the unobservable disturbances ut are autocorrelated but independent of the regressors xt xt xtK...

متن کامل

Asymptotic Equivalence of Ordinary Least Squares and Generalized Least Squares with Trending Regressors and Stationary Autoregressive Disturbances

This note generalizes previous results on the asymptotic equivalence of Ordinary and Generalized Least Squares estimates in Linear Regression models with trending data. This note considers the relative e ciency of OLS versus GLS in the linear regression model yt = x 0 t + ut (t = 1 ;2; : : : ); (1) where xt and are K 1 and where the unobservable disturbances ut are autocorrelated but independen...

متن کامل

Asymptotic Second Moment Properties of Out-of-sample Forecast Errors of Misspecified Regarima Models and the Optimality of Gls

Under minimal assumptions, it is established that the sample second moments of the errors of out-of-sample (real time) forecasts of possibly incorrect regARIMA models have asymptotic limits with useful frequency domain formulas. Both OLS and GLS estimates of the mean function are considered. With misspecified regressors, under additional assumptions that do not appear to exclude any regressors ...

متن کامل

Integrated Modied OLS Estimation and Fixed-b Inference for Cointegrating Regressions

This paper is concerned with parameter estimation and inference in a cointegrating regression, where as usual endogenous regressors as well as serially correlated errors are considered. We propose a simple, new estimation method based on an augmented partial sum (integration) transformation of the regression model. The new estimator is labelled Integrated Modi…ed Ordinary Least Squares (IM-OLS)...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2011