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VOL. 57 | 2009 Nonparametric Estimation of Hemodynamic Response Function: A Frequency Domain Approach


Hemodynamic response function (HRF) has played an important role in many recent functional magnetic resonance imaging (fMRI) based brain studies where the main focus is to investigate the relationship between stimuli and the neural activity. Standard statistical analysis of fMRI data usually calls for a “canonical” model of HRF, but it is uncertain how well this fits the actual HRF. The objective of this paper is to exploit the experimental designs by modeling the stimulus sequences using stochastic point processes. The identification of the stimulus-response relationship will be conducted in the frequency domain, which will be facilitated by fast Fourier transforms (FFT). The usefulness of this approach will be illustrated using both simulated and real human brain data. Under regularity conditions, it is shown that the estimated HRF possesses an asymptotic normal distribution.


Published: 1 January 2009
First available in Project Euclid: 3 August 2009

zbMATH: 1271.62061
MathSciNet: MR2681664

Digital Object Identifier: 10.1214/09-LNMS5712

Primary: 60K35 , 60K35
Secondary: 60K35

Keywords: fMRI , hemodynamic response function , point process , spectral analysis , transfer function model

Rights: Copyright © 2009, Institute of Mathematical Statistics


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