Functional regression over irregular domains

Arnab Bhattacharjee, Liqian Cai and Taps Maiti
Additional contact information
Liqian Cai: Michigan State University
Taps Maiti: Michigan State University

No 1301, SEEC Discussion Papers from Spatial Economics and Econometrics Centre, Heriot Watt University

Abstract: We develop a method for estimating the functional surface of a regression coefficient that varies over a complex spatial domain with irregular boundaries, peninsulas and interior holes. The method is motivated by, and applied to, data on housing markets, where the central object of inference is estimation of spatially varying effects of living space on house prices. For this purpose, we extend a method of spline smoothing over an irregular domain to the functional regression model. Spatially varying coefficients for a specific regressor are estimated by a combination of three smoothing problems, allowing for additional regressors with spatially fixed coefficients. The estimates adapt well to the irregular and complex spatial domain. Implicit prices for living space vary spatially, being high in the city centre and other desirable locations, and declining towards the periphery along gradients determined by major roads.

Keywords: Delaunay triangulation; Finite element; Housing markets; Spatial functional regression; Spline smoothing (search for similar items in EconPapers)
Date: 2013
New Economics Papers: this item is included in nep-ecm, nep-geo and nep-ure
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://seec.hw.ac.uk/images/discussionpapers/SEEC_DiscussionPaper_No1.pdf (application/pdf)
Our link check indicates that this URL is bad, the error code is: 404 Not Found

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hwe:seecdp:1301

Access Statistics for this paper

More papers in SEEC Discussion Papers from Spatial Economics and Econometrics Centre, Heriot Watt University Contact information at EDIRC.
Bibliographic data for series maintained by Colin Miller ().