We Consider the Null Hypothesis That a Time Series Has a Unit Root with Possibly Non-Zero Drift Against the Alternative That the Process Is 'Trend-Stationary'. the Interest Is That We Allow Under Both the Null and Alternative Hypotheses for the Presence of a One-Time Change in the Level Or in...

We Tabulate the Limiting Cumulative Distribution and Probability Density Functions of the Least Squares Estimator in a First-Order Autoregressive Regression When the True Model Is Near-Integrated in the Sense of Phillips (1986 A). the Results Are Obtained Using an Exact Numerical Method Which...

This Paper Considers the Consistency Property of Some Test Statistics Based on a Time Series of Data. While Th Eusual Consistency Criterion Is Based on Keeping the Sampling Interval Fixed, We Let the Sampling Interval Take Any Path As the Sample Size Increases to Infinity. We Consider Tests of...

This Paper Presents a Summary of Recent Work on a New Methodology to Test for the Presence of a Unit Root in Univariate Time Series Models. the Stochastic Framework Is Quite General. While the Dickey-Fuller Approach Accounts for the Autocorrelation of the First-Differences of a Serie in a...

Many unit root and cointegration tests require an estimate of the spectral density function at frequency zero at some process. Kernel estimators based on weighted sums of autocovariances constructed using estimated residuals from an AR(1) regression are commonly used. However, it is known that...