An Automatic Algorithm to Date the Reference Cycle of the Spanish Economy

This paper provides an accurate chronology of the Spanish reference business cycle adapting a multiple change-point model. In that approach, each combination of peaks and troughs dated in a set of economic indicators is assumed to be a realization of a mixture of bivariate Gaussian distributions, wh...

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Main Authors: Maximo Camacho, María Dolores Gadea, Ana Gómez-Loscos
Format: Article
Language:English
Published: MDPI AG 2021-09-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/9/18/2241
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author Maximo Camacho
María Dolores Gadea
Ana Gómez-Loscos
author_facet Maximo Camacho
María Dolores Gadea
Ana Gómez-Loscos
author_sort Maximo Camacho
collection DOAJ
description This paper provides an accurate chronology of the Spanish reference business cycle adapting a multiple change-point model. In that approach, each combination of peaks and troughs dated in a set of economic indicators is assumed to be a realization of a mixture of bivariate Gaussian distributions, whose number of components is estimated from the data. The means of each of these components refer to the dates of the reference turning points. The transitions across the components of the mixture are governed by Markov chain that is restricted to force left-to-right transition dynamic. In the empirical application, seven recessions in the period from February 1970 to February 2020 are identified, which are in high concordance with the timing of the turning point dates established by the Spanish Business Cycle Dating Committee (SBCDC).
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spelling doaj.art-7f286e670408439cb4c980f41c4dd5eb2023-11-22T14:05:26ZengMDPI AGMathematics2227-73902021-09-01918224110.3390/math9182241An Automatic Algorithm to Date the Reference Cycle of the Spanish EconomyMaximo Camacho0María Dolores Gadea1Ana Gómez-Loscos2Department of Quantitative Analysis, Campus de Espinardo, University of Murcia, 30100 Murcia, SpainDepartment of Applied Economics, University of Zaragoza, 50005 Zaragoza, SpainBanco de España, Alcalá, 48, 28014 Madrid, SpainThis paper provides an accurate chronology of the Spanish reference business cycle adapting a multiple change-point model. In that approach, each combination of peaks and troughs dated in a set of economic indicators is assumed to be a realization of a mixture of bivariate Gaussian distributions, whose number of components is estimated from the data. The means of each of these components refer to the dates of the reference turning points. The transitions across the components of the mixture are governed by Markov chain that is restricted to force left-to-right transition dynamic. In the empirical application, seven recessions in the period from February 1970 to February 2020 are identified, which are in high concordance with the timing of the turning point dates established by the Spanish Business Cycle Dating Committee (SBCDC).https://www.mdpi.com/2227-7390/9/18/2241business cyclesturning pointsfinite mixture modelsSpain
spellingShingle Maximo Camacho
María Dolores Gadea
Ana Gómez-Loscos
An Automatic Algorithm to Date the Reference Cycle of the Spanish Economy
Mathematics
business cycles
turning points
finite mixture models
Spain
title An Automatic Algorithm to Date the Reference Cycle of the Spanish Economy
title_full An Automatic Algorithm to Date the Reference Cycle of the Spanish Economy
title_fullStr An Automatic Algorithm to Date the Reference Cycle of the Spanish Economy
title_full_unstemmed An Automatic Algorithm to Date the Reference Cycle of the Spanish Economy
title_short An Automatic Algorithm to Date the Reference Cycle of the Spanish Economy
title_sort automatic algorithm to date the reference cycle of the spanish economy
topic business cycles
turning points
finite mixture models
Spain
url https://www.mdpi.com/2227-7390/9/18/2241
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