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The approach utilised here is based on the maximal overlap discrete Hilbert wavelet transform (MODHWT). Firstly, via a broad set of simulation experiments, we examine the small and large sample properties of two wavelet estimators of the scale-dependent time delay. The estimators are the wavelet cross-correlator and the wavelet phase angle-based estimator. Our results provide some practical guidelines for the empirical examination of short- and medium-term lead-lag relations for octave frequency bands. Further, we point out a deficiency in the implementation of the MODHWT and suggest using a modified implementation scheme, which was proposed earlier in the context of the dual-tree complex wavelet transform. In addition, we show how MODHWT-based wavelet quantities can serve to approximate the Fourier bivariate spectra and discuss issues connected with building confidence intervals for them. The discrete wavelet analysis of coherence and phase angle is illustrated with a scale-dependent examination of business cycle synchronisation between 11 euro zone countries. The study is supplemented by a wavelet analysis of the variance and covariance of the euro zone business cycles. The empirical examination underlines the good localisation properties and high computational efficie\nncy of the wavelet transformations applied and provides new arguments in favour of the endogeneity hypothesis of the optimum currency area criteria as well as the wavelet evidence on dating the Great Moderation in the euro zone."},"dsDescriptionDate":{"typeName":"dsDescriptionDate","multiple":false,"typeClass":"primitive","value":"2011"}}]},{"typeName":"keyword","multiple":true,"typeClass":"compound","value":[{"keywordValue":{"typeName":"keywordValue","multiple":false,"typeClass":"primitive","value":"Hilbert wavelet pair"}},{"keywordValue":{"typeName":"keywordValue","multiple":false,"typeClass":"primitive","value":"MODHWT"}},{"keywordValue":{"typeName":"keywordValue","multiple":false,"typeClass":"primitive","value":"wavelet coherence"}},{"keywordValue":{"typeName":"keywordValue","multiple":false,"typeClass":"primitive","value":"wavelet phase angle"}},{"keywordValue":{"typeName":"keywordValue","multiple":false,"typeClass":"primitive","value":"business cycle synchronization"}},{"keywordValue":{"typeName":"keywordValue","multiple":false,"typeClass":"primitive","value":"euro zone"}}]},{"typeName":"topicClassification","multiple":true,"typeClass":"compound","value":[{"topicClassValue":{"typeName":"topicClassValue","multiple":false,"typeClass":"primitive","value":"C19"},"topicClassVocab":{"typeName":"topicClassVocab","multiple":false,"typeClass":"primitive","value":"JEL"}},{"topicClassValue":{"typeName":"topicClassValue","multiple":false,"typeClass":"primitive","value":"E32"},"topicClassVocab":{"typeName":"topicClassVocab","multiple":false,"typeClass":"primitive","value":"JEL"}},{"topicClassValue":{"typeName":"topicClassValue","multiple":false,"typeClass":"primitive","value":"E58"},"topicClassVocab":{"typeName":"topicClassVocab","multiple":false,"typeClass":"primitive","value":"JEL"}},{"topicClassValue":{"typeName":"topicClassValue","multiple":false,"typeClass":"primitive","value":"O52"},"topicClassVocab":{"typeName":"topicClassVocab","multiple":false,"typeClass":"primitive","value":"JEL"}}]},{"typeName":"publication","multiple":true,"typeClass":"compound","value":[{"publicationCitation":{"typeName":"publicationCitation","multiple":false,"typeClass":"primitive","value":"Joanna Bruzda (2011). On Some Problems in Discrete Wavelet Analysis of Bivariate Spectra with an Application to Business Cycle Synchronization in the Euro Zone. Economics Discussion Papers, No 2011-5. <a href=\"http://www.economics-ejournal.org/economics/discussionpapers/2011-5\">http://www.economics-ejournal.org/economics/discussionpapers/2011-5</a>"}},{"publicationCitation":{"typeName":"publicationCitation","multiple":false,"typeClass":"primitive","value":"Joanna Bruzda (2011). On Some Problems in Discrete Wavelet Analysis of Bivariate Spectra with an Application to Business Cycle Synchronization in the Euro Zone. Economics Discussion Papers, No 2011-5. <a href=\"http://www.economics-ejournal.org/economics/discussionpapers/2011-5\">http://www.economics-ejournal.org/economics/discussionpapers/2011-5</a>"}},{"publicationCitation":{"typeName":"publicationCitation","multiple":false,"typeClass":"primitive","value":"Joanna Bruzda (2011). Some Aspects of the Discrete Wavelet Analysis of Bivariate Spectra for Business Cycle Synchronisation. Economics: The Open-Access, Open-Assessment E-Journal, Vol. 5, 2011-16.http://dx.doi.org/10.5018/economics-ejournal.ja.2011-16"}}]},{"typeName":"productionDate","multiple":false,"typeClass":"primitive","value":"2011"},{"typeName":"distributor","multiple":true,"typeClass":"compound","value":[{"distributorName":{"typeName":"distributorName","multiple":false,"typeClass":"primitive","value":"Economics: The Open-Access, Open-Assessment E-Journal"},"distributorURL":{"typeName":"distributorURL","multiple":false,"typeClass":"primitive","value":"http://www.economics-ejournal.org"},"distributorLogoURL":{"typeName":"distributorLogoURL","multiple":false,"typeClass":"primitive","value":"http://www.economics-ejournal.org/logo.png"}}]},{"typeName":"distributionDate","multiple":false,"typeClass":"primitive","value":"2011"},{"typeName":"dateOfDeposit","multiple":false,"typeClass":"primitive","value":"2011-03-29"},{"typeName":"timePeriodCovered","multiple":true,"typeClass":"compound","value":[{"timePeriodCoveredStart":{"typeName":"timePeriodCoveredStart","multiple":false,"typeClass":"primitive","value":"1960"},"timePeriodCoveredEnd":{"typeName":"timePeriodCoveredEnd","multiple":false,"typeClass":"primitive","value":"2010"}}]},{"typeName":"kindOfData","multiple":true,"typeClass":"primitive","value":["aggregate data"]}]},"geospatial":{"displayName":"Geospatial Metadata","name":"geospatial","fields":[{"typeName":"geographicCoverage","multiple":true,"typeClass":"compound","value":[{"otherGeographicCoverage":{"typeName":"otherGeographicCoverage","multiple":false,"typeClass":"primitive","value":"Euro Area"}}]}]}},"files":[{"description":"","label":"other_sub_Bruzda_MS_516.xls","restricted":false,"version":1,"datasetVersionId":51635,"dataFile":{"id":2291143,"persistentId":"doi:10.7910/DVN/JP6YQZ/6EALGG","pidURL":"https://doi.org/10.7910/DVN/JP6YQZ/6EALGG","filename":"other_sub_Bruzda_MS_516.xls","contentType":"application/vnd.ms-excel","friendlyType":"MS Excel Spreadsheet","filesize":268800,"description":"","storageIdentifier":"s3://dvn-cloud:67101","rootDataFileId":-1,"md5":"8af9a5c76144859c7db9f268945d3577","checksum":{"type":"MD5","value":"8af9a5c76144859c7db9f268945d3577"},"tabularData":false,"creationDate":"2011-03-29","publicationDate":"2011-03-28","lastUpdateTime":"2011-10-05T10:13:33Z","fileAccessRequest":false}}]}}}