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Diagnostic Checks in Multiple Time Series Modelling
Luleå University of Technology, Department of Business Administration, Technology and Social Sciences, Social Sciences. Foreign Trade University, Department of Mathematics, Hanoi,.ORCID iD: 0000-0002-9832-7866
2017 (English)In: Advances in Time Series Analysis and Forecasting: Selected Contributions from ITISE 2016 / [ed] Ignacio Rojas, Héctor Pomares, Olga Valenzuela, Cham: Springer , 2017, p. 147-158Conference paper, Published paper (Refereed)
Abstract [en]

The multivariate relation between sample covariance matrices of errors and their residuals is an important tool in goodness-of-fit methods. This paper generalizes a widely used relation between sample covariance matrices of errors and their residuals proposed by Hosking (J Am Stat Assoc 75(371):602–608, 1980 [6]). Consequently, the asymptotic distribution of the residual correlation matrices is introduced. As an extension of Box and Pierce (J Am Stat Assoc 65(332):1509–1526, 1970 [11]), the asymptotic distribution recommends a graphical diagnostic method to select a proper VARMA(p, q) model. Several examples and simulations illustrate the findings

Place, publisher, year, edition, pages
Cham: Springer , 2017. p. 147-158
Series
Contributions to Statistics, ISSN 1431-1968
National Category
Social Sciences
Research subject
Economics
Identifiers
URN: urn:nbn:se:ltu:diva-65091DOI: 10.1007/978-3-319-55789-2_11ISI: 000434672600011ISBN: 978-3-319-55788-5 (electronic)ISBN: 978-3-319-55789-2 (print)OAI: oai:DiVA.org:ltu-65091DiVA, id: diva2:1131692
Conference
International Work-Conference on Time Series (ITISE 2016), Grenada, Spain, June 27-29 2016
Available from: 2017-08-15 Created: 2017-08-15 Last updated: 2018-06-28Bibliographically approved

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Thu, Huong Nguyen

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