Rate acceleration for estimators of integral curves from diffusion tensor imaging (DTI) data

Lyudmila Sakhanenko

Statistics & Probability Letters, 2015, vol. 107, issue C, 286-295

Abstract: The components of a tensor field M are coefficients in a certain system of regression equations. To estimate the integral curve starting at a given point and driven by the principle eigenvector field corresponding to M, recently an estimation procedure has been constructed in Carmichael and Sakhanenko (2014). We propose a acceleration to this method which dampens the asymptotic mean integrated squared error and boosts the convergence rates. Supporting theoretical results and simulations are presented.

Keywords: Diffusion tensor imaging; Kernel smoothing; Asymptotic normality; Integral curve (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (1)

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DOI: 10.1016/j.spl.2015.09.005

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