 Using mean reversion as a measure of persistenceCarlos Marques and Daniel Dias No 450, Working Paper Series from European Central Bank Abstract: This paper elaborates on the alternative measure of persistence recently suggested in Marques (2004), which is based on the idea of mean reversion. A formal distinction between the "unconditional probability of a given process not crossing its mean in period t" and its estimator, is made clear and the relationship between this new measure and the widely used "sum of the autoregressive coefficients", as alternative measures of persistence, is investigated. Using the law of large numbers and the central limit theorem, properties for the estimator of the new measure of persistence are established, which allow tests of hypotheses to be performed, under very general conditions. Finally, some Monte Carlo experiments are conducted in order to compare the finite sample properties of the estimator for the "unconditional probability of a given process not crossing its mean in period t" and the OLS estimator for the "sum of the autoregressive coefficients". JEL Classification: E31, C22, E52 Keywords: inflation persistence; mean reversion; non-parametric estimator (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:ecb:ecbwps:2005450 Access Statistics for this paper More papers in Working Paper Series from European Central Bank 60640 Frankfurt am Main, Germany. Contact information at EDIRC. |
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