Asymptotics for Duration-Driven Long Range Dependent Processes

We consider processes with second order long range dependence resulting from heavy tailed durations. We refer to this phenomenon as duration-driven long range dependence (DDLRD), as opposed to the more widely studied linear long range dependence based on fractional differencing of an $iid$ process. We consider in detail two specific processes having DDLRD, originally presented in Taqqu and Levy (1986), and Parke (1999). For these processes, we obtain the limiting distribution of suitably standardized discrete Fourier transforms (DFTs) and sample autocovariances. At low frequencies, the standardized DFTs converge to a stable law, as do the standardized sample autocovariances at fixed lags. Finite collections of standardized sample autocovariances at a fixed set of lags converge to a degenerate distribution. The standardized DFTs at high frequencies converge to a Gaussian law. Our asymptotic results are strikingly similar for the two DDLRD processes studied. We calibrate our asymptotic results with a simulation study which also investigates the properties of the semiparametric log periodogram regression estimator of the memory parameter

A Re-Examination of the Linder Hypothesis: A Random-Effects Tobit Approach

This paper examines one of the main theories of international trade, the Linder hypothesis, using data from the OECD countries. The paper makes two primary contributions. First, significant empirical evidence is found in support of Linder's hypothesis regarding demand similarity for 18 of the 19 OECD countries under investigation here. Second, the use of a censored dependent variable in this analysis corrects a major methodological shortcoming in the existing literature by including data on all potential trading partners, even when the given OECD country has a zero or negative desire to export to that potential trading partner. [F10]