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Although widely used in many areas of applied sciences, wavelet analysis has not fully entered the economic discipline yet. In this article we apply wavelet analysis to one of the most investigated relationships is in empirical macroeconomics: the relationship between wage inflation and unemployment. Using US postwar data we find a frequency-dependent relationship of a sort that is consistent with Phillips' original insights. It also turns out that this relationship is remarkably stable over the 1948-93 period, but not in the aftermath, as a consequence of a process of adaption of the wage formation process to a low inflation environment.

This paper provides evidence for an aspect of trade often disregarded in international trade research: countries' sectoral export diversification. The results of our semiparametric empirical analysis show that, on average, countries do not specialize; on the contrary, they diversify. Our results are robust for different statistical indices used to measure trade specialization, for the level of sectoral aggregation, and for the level of smoothing in the nonparametric term associated with per capita income. Using a generalized additive model (GAM) with countryspecific fixed effects it can be shown that, controlling for countries' heterogeneity, sectoral export diversification increases with income.

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