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The NCSTAR model as an alternative to the GWR model

Listed author(s):
  • Lebreton, Marie
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    This paper compares the GWR model, usually used to integrate and examine the spatial heterogeneity of a relationship, and the NCSTAR model. The former will give a vector of local parameter estimates for each observation of the data set, according to its nearest neighbors in space. However, it supposes that all variables enter linearly the model. To correct this failure, a NCSTAR model is proposed. It can be seen as a linear model which coefficients are given by the outputs of an ANN model. These outputs can be related not only to geographical variables but also to social, financial or economic variables (according the nature of the relationship under study) via a nonlinear function which functional form has not to be specified. Moreover, the confidence intervals for the NCSTAR estimates can be computed.

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    File URL: http://www.sciencedirect.com/science/article/pii/S0378437105002785
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    Article provided by Elsevier in its journal Physica A: Statistical Mechanics and its Applications.

    Volume (Year): 355 (2005)
    Issue (Month): 1 ()
    Pages: 77-84

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    Handle: RePEc:eee:phsmap:v:355:y:2005:i:1:p:77-84
    DOI: 10.1016/j.physa.2005.02.069
    Contact details of provider: Web page: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/

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    1. C Brunsdon & A S Fotheringham & M Charlton, 1998. "Spatial Nonstationarity and Autoregressive Models," Environment and Planning A, , vol. 30(6), pages 957-973, June.
    2. Marcelo C. Medeiros & Alvaro Veiga, 2003. "Diagnostic Checking in a Flexible Nonlinear Time Series Model," Journal of Time Series Analysis, Wiley Blackwell, vol. 24(4), pages 461-482, July.
    3. Medeiros, Marcelo & Veiga, Alvaro, 2000. "A Flexible Coefficient Smooth Transition Time Series Model," SSE/EFI Working Paper Series in Economics and Finance 360, Stockholm School of Economics, revised 29 Apr 2004.
    4. McMillen, Daniel P., 1996. "One Hundred Fifty Years of Land Values in Chicago: A Nonparametric Approach," Journal of Urban Economics, Elsevier, vol. 40(1), pages 100-124, July.
    5. Yee Leung & Chang-Lin Mei & Wen-Xiu Zhang, 2000. "Statistical tests for spatial nonstationarity based on the geographically weighted regression model," Environment and Planning A, Pion Ltd, London, vol. 32(1), pages 9-32, January.
    6. Rech, Gianluigi & Teräsvirta, Timo & Tschernig, Rolf, 1999. "A simple variable selection technique for nonlinear models," SSE/EFI Working Paper Series in Economics and Finance 296, Stockholm School of Economics, revised 06 Apr 2000.
    7. Harrison, David Jr. & Rubinfeld, Daniel L., 1978. "Hedonic housing prices and the demand for clean air," Journal of Environmental Economics and Management, Elsevier, vol. 5(1), pages 81-102, March.
    8. C Brunsdon & A S Fotheringham & M Charlton, 1998. "Spatial nonstationarity and autoregressive models," Environment and Planning A, Pion Ltd, London, vol. 30(6), pages 957-973, June.
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