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seminars:stat:09252015 [2015/09/22 23:22] shangseminars:stat:09252015 [2015/09/24 03:34] (current) shang
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 +<WRAP centeralign>##Statistics Seminar##\\ Department of Mathematical Sciences</WRAP>
 +
 +~~META:title =September 25, 2015~~
 +<WRAP 70% center>
 +^  **DATE:**|Friday, September 25, 2015 |
 +^  **TIME:**|2:30pm to 3:30pm |
 +^  **LOCATION:**|WH 329 |
 +^  **SPEAKER:**|Stanislav Volgushev, Cornell University |
 +^  **TITLE:**| Copula based spectral analysis. |
 +</WRAP>
 +\\ 
 +
 +<WRAP center box 80%>
 +<WRAP centeralign>**Abstract**</WRAP>
 +In this talk we discuss an alternative method for the spectral analysis of a strictly stationary time series. We define a "new" spectrum as the Fourier transform of the differences between copulas of the pairs with lag k and the independence copula. This object is called copula spectral density kernel and allows separating marginal and serial aspects of a time series. The copula spectral density kernel is substantially more informative than the "classical" spectral density obtained from the auto-covariances. In particular, it provides a complete description of the distributions of all pairs with arbitrary lag. We introduce a way to estimate of copula spectral density kernels, comment on the asymptotic properties of the proposed estimator, and discuss several possible extensions.
 +
 +</WRAP>
 +<WRAP center 60%>
 +^  Itinerary  ||
 +|  9:00 - 11:00 | Zuofeng Shang|
 +|  11:00 - 11:30 | Qiqing Yu|
 +|  11:30 - 12:00 | Ganggang Xu |
 +|  12:00 - 1:00 | Lunch |
 +|  2:30 - 3:30| Talk |
 +|  3:30 -|Break|
 +</WRAP>