Mathematical Sciences - Colloquium - "Statistical Modelling of Multivariate Time Series of Counts" by Fangfang Wang (University of Wisconsin)

Tuesday, January 22, 2019
11:00 am to 12:00 pm


Floor/Room #: 

Fangfang Wang University of Wisconsin
Statistical Modelling of Multivariate Time Series of Counts
In this presentation, I will talk about a new parameter-driven model for non-stationary multivariate time series of counts. The mean process is formulated as the product of modulating factors and unobserved stationary processes. The former characterizes the long-run movement in the data, while the latter is responsible for rapid fluctuations and other unknown or unavailable covariates. The unobserved stationary vector process is expressed as a linear combination of possibly low-dimensional factors that govern the contemporaneous and serial correlation within and across the count series. Regression coefficients in the modulating factors are estimated via pseudo maximum likelihood estimation, and identification of common factor(s) is carried out through eigen-analysis on a positive definite matrix that aggregates the autocovariances of the count series at nonzero lags. The two-step procedure is fast to compute and easy to implement. Appropriateness of the estimation procedure is theoretically justified, and simulation results corroborate the theoretical findings in finite samples. The model is applied to time series data consisting of the numbers of National Science Foundation funding awarded to seven research universities from January 2001 to December 2012. The estimated parsimonious and easy-to-interpret factor model provides a useful framework for analyzing the interdependencies across the seven institutions.
Tuesday, January 22, 2019
Stratton Hall 203