Estimating mixture models still raises numerous questions, both theoretical and empirical. However, this class of model appears quite powerful for a parcimonious modelization of ill-behaved distribution, as it is the case with loans rate vis-à-vis the private sector collected by the Banque de...

This paper investigates the properties of the decomposition of a time series presented in a companion paper (Lacroix, (2008)). The procedure relies upon an extension of Beveridge-Nelson methodology. We focus on its empirical implementation and show the need for additional steps in order to...

The analysis of seasonality in economics and the development of new seasonal adjustment procedures have been following new directions in the last twenty years. We study this question through the work performed at the Banque de France (Monetary Statistic and Studies Directorate) to compile new...

Short-term analysis is generally performed with seasonally adjusted data from which further estimation of the business cycle is performed through well-known filters (HP, Baxter-King). However, the whole procedure is not fully consistent, because seasonal adjustment and trend-cycle estimation do...

Non parametric and parametric estimation for the spectral density of a stationary process is a well-known topic, except when the spectrum vanishes for some frequency. Indeed, for this frequency, the limit law degenerates, and traditional inference no longer applies. The paper introduces non...

In this paper, we show how to estimate consistently the degree of fractional integration at a given frequency K, for both stationary and non stationary long-memory process. The statistics used are the periodigram for values Kn which converge to K with an appropriate rate. We also introduce tests...

It is well-known that traditional inference do not apply when the spectral density of a stationary process vanishes for some frequency. This paper examines some properties of several new non parametric tests of this hypothesis which have been recently proposed by Lacroix (1999). These tests...

Non parametric and parametric estimation for the spectral density of a stationary process is a well-known topic, except when the spectrum vanishes for some frequency. Indeed, for this frequency, the limit law degenerates, and traditional inference no longer applies. The paper introduces non...

In this paper, we show how to estimate consistently the degree of fractional integration at a given frequency K, for both stationary and non stationary long-memory process. The statistics used are the periodigram for values Kn which converge to K with an appropriate rate. We also introduce tests...

It is well-known that traditional inference do not apply when the spectral density of a stationary process vanishes for some frequency. This paper examines some properties of several new non parametric tests of this hypothesis which have been recently proposed by Lacroix (1999). These tests...