Events
Thu 21 Feb, '19- |
Annual Actuarial LectureMS.03 |
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Fri 22 Feb, '19- |
Algorithms SeminarMB0.08 |
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Tue 26 Feb, '19- |
YRMStatistics Common Room |
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Wed 27 Feb, '19- |
Teaching Committee - 13:00-16:00MB2.22 |
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Thu 28 Feb, '19- |
Management GroupMB1.06 |
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Thu 28 Feb, '19- |
CRiSM SeminarMSB2.23Prof. Isham Valerie, Statistical Science, University College London, UK (15:00-16:00) Stochastic Epidemic Models: Approximations, structured populations and networks |
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Fri 1 Mar, '19- |
Algorithms SeminarMB0.08 |
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Tue 5 Mar, '19- |
IT CommitteeMB1.05 |
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Tue 5 Mar, '19- |
YRMStatistics Common Room |
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Thu 7 Mar, '19- |
AS&RU CPS Network MeetingMB1.05 |
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Fri 8 Mar, '19- |
Algorithms SeminarMB0.08 |
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Tue 12 Mar, '19- |
WCCMB1.05 |
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Tue 12 Mar, '19- |
YRMStatistics Common Room |
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Wed 13 Mar, '19- |
4th Yr Project PresentationsAtrium, MSB |
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Thu 14 Mar, '19- |
Management GroupMB1.06 |
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Thu 14 Mar, '19- |
CRiSM SeminarA1.01Speaker: Spencer Wheatley, ETH Zurich, Switzerland Title: The "endo-exo" problem in financial market price fluctuations, & the ARMA point process The "endo-exo" problem -- i.e., decomposing system activity into exogenous and endogenous parts -- lies at the heart of statistical identification in many fields of science. E.g., consider the problem of determining if an earthquake is a mainshock or aftershock, or if a surge in the popularity of a youtube video is because it is "going viral", or simply due to high activity across the platform. Solution of this problem is often plagued by spurious inference (namely false strong interaction) due to neglect of trends, shocks and shifts in the data. The predominant point process model for endo-exo analysis in the field of quantitative finance is the Hawkes process. A comparison of this field with the relatively mature fields of econometrics and time series identifies the need to more rigorously control for trends and shocks. Doing so allows us to test the hypothesis that the market is "critical" -- analogous to a unit root test commonly done in economic time series -- and challenge earlier results. Continuing "lessons learned" from the time series field, it is argued that the Hawkes point process is analogous to integer valued AR time series. Following this analogy, we introduce the ARMA point process, which flexibly combines exo background activity (Poisson), shot-noise bursty dynamics, and self-exciting (Hawkes) endogenous activity. We illustrate a connection to ARMA time series models, as well as derive an MCEM (Monte Carlo Expectation Maximization) algorithm to enable MLE of this process, and assess consistency by simulation study. Remaining challenges in estimation and model selection as well as possible solutions are discussed.
[1] Wheatley, S., Wehrli, A., and Sornette, D. "The endo-exo problem in high frequency financial price fluctuations and rejecting criticality". To appear in Quantitative Finance (2018). https://papers.ssrn.com/sol3/papers.cfm?abstract_id=3239443 [2] Wheatley, S., Schatz, M., and Sornette, D. "The ARMA Point Process and its Estimation." arXiv preprint arXiv:1806.09948 (2018). |
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Fri 15 Mar, '19- |
Algorithms SeminarMB0.08 |
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Mon 18 Mar, '19 - Tue 19 Mar, '19All-day |
Offer Holder Open DayMSB BuildingRuns from Monday, March 18 to Tuesday, March 19. |
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Wed 20 Mar, '19- |
CRiSM DayMS.01 |
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Wed 27 Mar, '19- |
Teaching ForumStats Common Room |
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Wed 27 Mar, '19- |
CRiSM SeminarMSB2.23Daniel Rudolf, Institute for Mathematical Stochastics, Georg-August-Universität Göttingen Title: Quantitative spectral gap estimate and Wasserstein contraction of simple slice sampling Abstract: By proving Wasserstein contraction of simple slice sampling for approximate sampling of distributions determined by log-concave rotational invariant unnormalized densities we derive an explicit quantitative lower bound of the spectral gap. In particular, the lower bound of the spectral gap carries over to more general distributions depending only on the volume of the (super-)level sets of the unnormalized density. |
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Tue 2 Apr, '19- |
OxWaSP CDT Management CommitteeMB2.24 |
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Thu 4 Apr, '19- |
CPS Network MeetingMB1.05 |
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Fri 5 Apr, '19- |
SF@W SeminarA1.01 |
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Mon 8 Apr, '19 - Fri 12 Apr, '19All-day |
APTSSouthamptonRuns from Monday, April 08 to Friday, April 12. |
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Mon 8 Apr, '19- |
Teaching ForumStats Common Room |
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Sun 14 Apr, '19 - Tue 16 Apr, '19All-day |
GregynogWalesRuns from Sunday, April 14 to Tuesday, April 16. |
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Wed 24 Apr, '19- |
Dept Council MeetingArden House |
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Wed 24 Apr, '19- |
Dept Away DayArden House |
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Fri 26 Apr, '19- |
Reading GroupMB1.05 |