Brian D. Marx

Varying Coefficient Tensor Models for Brain Imaging (2005)

Eilers, Paul H. C., Heim, Susanne, Marx, Brian D.

We revisit a multidimensional varying-coefficient model (VCM), by allowing regressor coefficients to vary smoothly in more than one dimension, thereby extending the VCM of Hastie and Tibshirani. The...

Space-Varying Coefficient Models for Brain Imaging (2005)

Heim, Susanne, Fahrmeir, Ludwig, Eilers, Paul H. C., Marx, Brian D.

The methodological development and the application in this paper originate from diffusion tensor imaging (DTI), a powerful nuclear magnetic resonance technique enabling diagnosis and monitoring of...

Splines, Knots, and Penalties (2004)

Brian D. Marx

Penalized splines have gained much popularity as a flexible tool for smoothing and semi-parametric models. Two approaches have been advocated: 1) use a B-spline basis, equally-spaced knots and...

On Ill-Conditioned Generalized Estimating Equations and Toward Unified Biased Estimation (2000)

Marx, Brian D.

I address the issue of ill-conditioned regressors within generalized estimating equations (GEEs). In such a setting, standard GEE approaches can have problems with: convergence, large coefficient...

On Ill-Conditioned Generalized Estimating Equations and Toward Unified Biased Estimation (2000)

Brian D. Marx

I address the issue of ill-conditioned regressors within generalized estimating equations (GEEs). In such a setting, standard GEE approaches can have problems with: convergence, large coefficient...

Flexible smoothing with B-splines and penalties (1996)

Eilers, Paul H. C., Marx, Brian D.

B-splines are attractive for nonparametric modelling, but choosing the optimal number and positions of knots is a complex task. Equidistant knots can be used, but their small and discrete number...

Flexible smoothing with B-splines and penalties (1996)

Dcmr Milieudienst Rijnmond, Brian D. Marx

B-splines are attractive for nonparametric modelling, but choosing the optimal number and positions of knots is a complex task. Equidistant knots can be used, but their small and discrete number...