Hierarchical Penalized Mixed Model - Open Journal of Statistics

OJS > Vol.9 No.6, December 2019

Open Journal of Statistics

Volume 9, Issue 6 (December 2019)

ISSN Print: 2161-718X ISSN Online: 2161-7198

Google-based Impact Factor: 0.53 Citations

Hierarchical Penalized Mixed Model ()

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Download as PDF (Size: 285KB) PP. 657-663

DOI: 10.4236/ojs.2019.96042 573 Downloads 1,348 Views Citations

Author(s)

A. W. Ndung’u¹, S. Mwalili², L. Odongo³

Affiliation(s)

¹Pan African University, Nairobi, Kenya.
²Jomo Kenyatta University of Agriculture and Technology, Nairobi, Kenya.
³Kenyatta University, Nairobi, Kenya.

ABSTRACT

Penalized spline has been a popular method for estimating an unknown function in the non-parametric regression due to their use of low-rank spline bases, which make computations tractable. However its performance is poor when estimating functions that are rapidly varying in some regions and are smooth in other regions. This is contributed by the use of a global smoothing parameter that provides a constant amount of smoothing across the function. In order to make this spline spatially adaptive we have introduced hierarchical penalized splines which are obtained by modelling the global smoothing parameter as another spline.

KEYWORDS

Penalized Splines, Mixed Model, Smoothing Parameter

Share and Cite:

Ndung’u, A. , Mwalili, S. and Odongo, L. (2019) Hierarchical Penalized Mixed Model. Open Journal of Statistics, 9, 657-663. doi: 10.4236/ojs.2019.96042.

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