Yule’s “nonsense correlation” for Gaussian random walks
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DOI: 10.1016/j.spa.2023.04.007
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- Phillips, P.C.B., 1986.
"Understanding spurious regressions in econometrics,"
Journal of Econometrics, Elsevier, vol. 33(3), pages 311-340, December.
- Peter C.B. Phillips, 1985. "Understanding Spurious Regressions in Econometrics," Cowles Foundation Discussion Papers 757, Cowles Foundation for Research in Economics, Yale University.
- repec:adr:anecst:y:1986:i:4:p:05 is not listed on IDEAS
- Nualart,David & Nualart,Eulalia, 2018. "Introduction to Malliavin Calculus," Cambridge Books, Cambridge University Press, number 9781107039124, January.
- Nualart,David & Nualart,Eulalia, 2018. "Introduction to Malliavin Calculus," Cambridge Books, Cambridge University Press, number 9781107611986, January.
- Pipiras,Vladas & Taqqu,Murad S., 2017. "Long-Range Dependence and Self-Similarity," Cambridge Books, Cambridge University Press, number 9781107039469, January.
- Jan R. Magnus, 1986.
"The Exact Moments of a Ratio of Quadratic Forms in Normal Variables,"
Annals of Economics and Statistics, GENES, issue 4, pages 95-109.
- Magnus, J.R., 1986. "The exact moments of a ratio of quadratic forms in normal variables," Other publications TiSEM c6725407-ac3c-44fd-b6d1-5, Tilburg University, School of Economics and Management.
- Peter C. B. Phillips, 1998. "New Tools for Understanding Spurious Regressions," Econometrica, Econometric Society, vol. 66(6), pages 1299-1326, November.
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- Kong, Jianning & Phillips, Peter C.B. & Sul, Donggyu, 2019.
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Keywords
Nonsense correlation; Gaussian random walks; Wiener processes; Wasserstein distance;All these keywords.
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