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In addition we display a constructive algorithm for the parameter values and establish the continuity of the mapping attaching the high frequency parameters to these population second moments. These structural results are obtained using two alternative tools viz. extended Yule Walker equations and blocking of the output process. The cases of stock and flow variables, as well as of general linear transformations of high frequency data, are treated. Finally, we briefly discuss how our constructive identifiability results can be used for parameter estimation based on the sample second moments.<\/jats:p>","DOI":"10.1017\/s0266466615000043","type":"journal-article","created":{"date-parts":[[2015,4,2]],"date-time":"2015-04-02T15:44:23Z","timestamp":1427989463000},"page":"793-826","source":"Crossref","is-referenced-by-count":30,"title":["MULTIVARIATE AR SYSTEMS AND MIXED FREQUENCY DATA: G-IDENTIFIABILITY AND ESTIMATION"],"prefix":"10.1017","volume":"32","author":[{"given":"Brian D.O.","family":"Anderson","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Manfred","family":"Deistler","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Elisabeth","family":"Felsenstein","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Bernd","family":"Funovits","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Lukas","family":"Koelbl","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Mohsen","family":"Zamani","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"56","published-online":{"date-parts":[[2015,4,2]]},"reference":[{"key":"S0266466615000043_ref3","doi-asserted-by":"publisher","DOI":"10.1109\/CDC.2012.6426713"},{"key":"S0266466615000043_ref43","volume-title":"Stationary Random Processes","author":"Rozanov","year":"1967"},{"key":"S0266466615000043_ref48","doi-asserted-by":"publisher","DOI":"10.1017\/S0266466600011890"},{"key":"S0266466615000043_ref13","doi-asserted-by":"publisher","DOI":"10.1108\/S0731-9053(1999)0000013005"},{"key":"S0266466615000043_ref34","doi-asserted-by":"publisher","DOI":"10.1080\/01621459.1986.10478332"},{"key":"S0266466615000043_ref26","doi-asserted-by":"publisher","DOI":"10.1198\/jbes.2009.06044"},{"key":"S0266466615000043_ref36","doi-asserted-by":"publisher","DOI":"10.1108\/S0731-9053(1998)0000013009"},{"key":"S0266466615000043_ref39","unstructured":"Nijman, T.E . 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