Seminar in applied mathematics and statistics

SPEAKER: Ana-Maria Staicu (North Carolina State University)

TITLE: Longitudinal Functional Data Analysis

ABSTRACT:
We consider functional data that are correlated because of a longitudinal-based design: each subject is observed at repeated time visits and for each visit we record a functional variable. In this setting we discuss two important problems: statistical inference for fixed effects and parsimonious modeling framework. For the first problem we consider bootstrap of independent units (subjects) to quantify the variability of the fixed effects and develop testing procedures that formally assess whether the mean response varies over visits. For the second problem we propose an approach that accurately describes the process dynamics over visits and provides prediction of a full trajectory at a future visit. The proposed methodologies are investigated numerically in finite samples. The methods are applied to the Baltimore Longitudinal Study of Aging (BLSA) and a longitudinal diffusion tensor imaging study of multiple sclerosis.

Tea and chocolate will be served in room 04.3.15 after the seminar.

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CURRENT SCHEDULE FOR SPRING 2016:

January 20, 15.15, Aud. 6: Alessia Pini (MOX, Politecnico di Milano)
February 24, 15.15, Aud. 10: Matthias Fahrenwaldt (Hannover)
March 9, 15.15, Aud. 10: Mogens Fosgerau (DTU)
March 11, 14.15, Aud. 8: Hansjoerg Albrecher (Lausanne)
March 16, 15.15, Aud. 10: Peter McCullagh (Oxford/Chicago)
March 17, 15.15, Aud. 10: Peter Glynn (Stanford)
May 13, 14.15, Aud. 3: Emilio Procu (Univ. Federico Santa Maria, Chile)
May 18, 15.15, Aud. 8: Holger Drees (Hamburg)
May 20, 14.15, Aud. 10: Kim Christensen (Aarhus)
June 8, 15.15, Aud. 8: Ana-Maria Staicu
June 15, 15.15, Aud. 8: Line K. H. Clemmensen