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Band spectral regression with both deterministic and stochastic trends is considered. It is shown that trend removal by regression in the time domain prior to band spectral regression can lead to biased and inconsistent estimates in models with frequency dependent coefficients. Both semiparametric and nonparametric regression formulations are considered, the latter including general systems of two-sided distributed lags such as those arising in lead and lag regressions. The…

汇率鞅假设的联合方差比检验AI 解读

There is considerable interest as to whether exchange races behave like martingales. Liu and He (1991) test the martingale hypothesis for exchange rates using the variance ratio methodology of Lo and MacKinlay (1988). They find that exchange rates have violated martingale property since the inception of floating rates in 1973. However, Liu and He did not consider the joint implications of their tests, In this paper, we reassess the martingale hypothesis for exchange rates…

汇率鞅假设的谱检验AI 解读

Abstract A new family of spectral shape tests was proposed recently by Durlauf (1991) for testing the martingale hypothesis. Unlike the widely used variance ratio test, spectral shape tests are consistent against all stationary non‐white‐noise alternatives from the martingale null. In this paper we examine the finite sample properties of the spectral shape tests and find that the tests have good size and power properties even for small samples. We apply the tests to examine…

漫步吉布森悖论：随机游走视角AI 解读

Abstract Evidence to support the Gibson paradox is often given in the form of a simple correlation between the nominal interest rate and the log of price level, or in the form of a simple linear regression between these two variables. Authors then show, using standard procedures of statistical inference, that the price level possesses a significant coefficient. We argue that this class of evidence is spurious since the nominal interest rate and the price level (both…