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Stochastic trends and seasonality in economic time series: new evidence from Bayesian stochastic model specification search

Proietti, Tommaso, Grassi, Stefano (2015) Stochastic trends and seasonality in economic time series: new evidence from Bayesian stochastic model specification search. Empirical Economics, 48 (3). pp. 983-1011. ISSN 0377-7332. (doi:10.1007/s00181-014-0821-y) (KAR id:50758)

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http://dx.doi.org/10.1007/s00181-014-0821-y

Abstract

An important issue in modelling economic time series is whether key unobserved components representing trends, seasonality and calendar components, are deterministic or evolutive. We address it by applying a recently proposed Bayesian variable selection methodology to an encompassing linear mixed model that features, along with deterministic effects, additional random explanatory variables that account for the evolution of the underlying level, slope, seasonality and trading days. Variable selection is performed by estimating the posterior model probabilities using a suitable Gibbs sampling scheme. The paper conducts an extensive empirical application on a large and representative set of monthly time series concerning industrial production and retail turnover. We find strong support for the presence of stochastic trends in the series, either in the form of a time-varying level, or, less frequently, of a stochastic slope, or both. Seasonality is a more stable component, although in at least 60 % of the cases we were able to select one or more stochastic trigonometric cycles. Most frequently the time variation is found in correspondence with the fundamental and the first harmonic cycles. An interesting and intuitively plausible finding is that the probability of estimating time-varying components increases with the sample size available. However, even for very large sample sizes we were unable to find stochastically varying calendar effects.

Item Type: Article
DOI/Identification number: 10.1007/s00181-014-0821-y
Subjects: H Social Sciences > H Social Sciences (General)
Divisions: Faculties > Social Sciences > School of Economics
Depositing User: Stefano Grassi
Date Deposited: 03 Oct 2015 16:04 UTC
Last Modified: 29 May 2019 16:05 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/50758 (The current URI for this page, for reference purposes)
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