We propose a simple modification of the time series filter by Hamilton (2018b) that yields reliable and economically meaningful real-time output gap estimates. The original filter relies on 8-quarter ahead forecasts errors of an autoregression. While this approach yields a cyclical component of...

In this chapter, we first explain what we mean by a signal, and then we describe some characteristics such as energy, frequency, phase, power spectrum, etc. We show how to analyse it by the means of spectral analysis and Fourier transform. Moreover, as the Fourier transform does not provide any...

This paper aims to provide reliable estimates for the COVID-19 contact rate of a Susceptible-Infected-Recovered (SIR) model, From observable data on confirmed, recovered, and deceased cases, a noisy measurement for the contact rate can be constructed, To filter out measurement errors and...

The present paper discourses on how European integration and gradual enlargement has affected the synchronicity in business cycles in EU regions. The analysis, which is conducted on annual data at the NUTSII level, is based on the following grounds: First, it examines the degree of synchronicity...

The Spanish regions are facing a severe recession caused by the international financial crisis that has overlapped with the correction that had been recorded in the property market, which has led to a sharp drop in economic activity and a rapid destruction process employment. In these...

There is a general acceptance of the fact that a significant direct relationship between financial markets and macroeconomic variables exists, especially by considering the assertion that developed financial markets correspond to high GDP levels. This paper provides an investigation of the...

Complex systems are characterized by deterministic laws (which often may be hidden) and randomness. A tool to analyse those systems is recurrence quantification analysis (RQA). RQA does not rely on any sort of assumption of stationarity and is not sensitive to singularities and transitions. It...