Page 84 - Invited Paper Session (IPS) - Volume 1
P. 84

IPS61 Rituparna S. et al.
                      The  initial  fitting  of  functional  data  to  obtain  mean,  covariance  and
                  principal components is done by employing the PACE package for functional
                  data analysis written in Matlab. We use the Gaussian kernel. The package is
                  available at
                                          http://www.stat.ucdavis.edu/PACE/

                      VAR model fitting and diagnostics is done using the econometrics toolbox
                  in Matlab.
                      VARMA and related state space model computations are done using the
                  Dynamic Systems Estimation (dse) package in R available at
                              http://cran.r-project.org/web/packages/dse/index.html.

                  It should be noted that in all the actual data applications, the models chosen
                  by AIC criterion had the MA degree zero.
                     Using multivariate Granger causality toolbox in matlab, we test for
                  Granger causality between yield curves of USA and India. The package also
                  does the using trace instead of determinant. We find that there is no
                  causality in either direction.

                  References
                  1.  Aue, A., D. D. Norinho, and S. Hörmann (2015). On the prediction of stationary
                      functional time series. Journal of the American Statistical Association 110(509),
                      378–392.
                  2.  Besse, P. C., H. Cardot, and D. B. Stephenson (2000). Autoregressive
                      forecasting of some functional climatic variations. Scandinavian Journal
                      of Statistics 27(4), 673–687.
                  3.  Bosq, D. (2012). Linear processes in function spaces: theory and
                      applications, Volume 149. Springer Science & Business Media.
                  4.  Bosq, D. (2014). Computing the best linear predictor in a hilbert space.
                      applications to general armah processes. Journal of Multivariate Analysis
                      124, 436–450.
                  5.  Castro, P. E., W. H. Lawton, and E. A. Sylvestre (1986). Principal modes of
                      variation for processes with continuous sample curves. Technometrics
                      28, 329–337.
                  6.  Hays, S., H. Shen, and J. Z. Huang (2012). Functional dynamic factor
                      models with application to yield curve forecasting. Annals of Applied
                      Statistics 6(3), 870–894.
                  7.  Hepperger, P. (2010). Option pricing in hilbert space valued jump-
                      diffusion models using partial integro-differential equation. SIAM
                      Journal on Financial Mathematics 1(1), 454– 489.
                  8.  Hörmann, S. and P. Kokoszka (2010). Weakly dependent functional data.
                      The Annals of Statistics 38, 18451884.

                                                                     73 | I S I   W S C   2 0 1 9
   79   80   81   82   83   84   85   86   87   88   89