This paper investigates regression quantiles (RQ) for unstable autoregressive models. The unifoem Bahadur representation of the RQ process is obtained. The joint asymptotic distribution of the RQ process is derived in a unified manner for all types of characteristic roots on or outside the unit...

This paper investigates regression quantiles (RQ) for unstable autoregressive models. The unifoem Bahadur representation of the RQ process is obtained. The joint asymptotic distribution of the RQ process is derived in a unified manner for all types of characteristic roots on or outside the unit...

This note seeks to clarify whether applications of Cox's (1961) modified likelihood ratio principle logically require a two- or one-tailed test. Logic requires the test of discrimination be one-tailed and the significance test for non-nested hypotheses be two-tailed. The significance test of a...

This paper attempts to synthesize various procedures for testing non-nested hypotheses within the framework of artificial nesting, and establishes the result that different tests correspond to different treatments of its identification problem. Numerical and a priori identification methods are...