243
Views
2
CrossRef citations to date
0
Altmetric
Research Papers

Local-linear likelihood estimation of geographically weighted generalised linear models

, &

References

  • Brunsdon, C., Fotheringham, A.S. and Charlton, M., 1996. Geographically weighted regression: a method for exploring spatial non-stationarity. Geographical Analysis, 28, 281–298.
  • Cai, Z., Fan, J. and Li, R., 2000. Efficient estimation and inferences for varying-coefficient models. Journal of the American Statistical Association, 95, 888–902.
  • Chen, V.Y.J., Wu, P.C., Yang, T.C. and Su, H.J., 2010. Examining non-stationary effects of social determinants on cardiovascular mortality after cold surges in Taiwan. Science of the Total Environment, 408, 2042–2049.
  • Cheng, E.M.Y., Atkinson, P.M., and Shahani, A.K., 2011. Elucidating the spatially varying relation between cervical cancer and socio-economic conditions in England. International Journal of Health Geographics, 10: 51.
  • Comber, A.J., Brunsdon, C., and Radburn, R., 2011. A spatial analysis of variations in health access: linking geography, socio-economic status and access perceptions. International Journal of Health Geographics, 10: 44.
  • Fan, J. and Gijbels, I., 1996. Local polynomial modelling and its applications. London: Chapman and Hall.
  • Fan, J. and Zhang, W., 1999. Statistical estimation in varying coefficient models. The Annals of Statistics, 27, 1491–1518.
  • Fan, J. and Zhang, W., 2008. Statistical methods with varying coefficient models. Statistics and Its Interface, 1, 179–195.
  • Fotheringham, A.S., Brunsdon, C. and Charlton, M., 2002. Geographically weighted regression: the analysis of spatially varying relationships. Chichester: Wiley.
  • Hadayeghi, A., Shalaby, A.S. and Persaud, B.N., 2010. Development of planning level transportation safety tools using geographically weighted poisson regression. Accident Analysis and Prevention, 42, 676–688.
  • Ma, Z.H., Zuckerberg, B., Porter, W.F. and Zhang, L.J., 2012. Spatial poisson models for examining the influence of climate and land over pattern on bird species richness. Forest Science, 58, 61–74.
  • McCullagh, P. and Nelder, J.A., 1999. Generalized linear models. New York, NY: Chapman and Hall.
  • Nakaya, T., Fotheringham, A.S., Brunsdon, C. and Charlton, M., 2005. Geographically weighted poisson regression for disease association mapping. Statistics in Medicine, 24, 2695–2717.
  • Shariat-Mohaymany, A., Shahri, M., Mirbagheri, B. and Matkan, A.A., 2014. Exploring spatial non-stationarity and varying relationships between crash data and related factors using geographically weighted Poisson regression. Transaction in GIS, 19, 321–337.
  • da Silva, A.R. and Rodrigues, T.C.V., 2014. Geographically weighted negative binomial regression – incorporating overdispersion. Statistics and Computing, 24, 769–783.
  • Wang, N., Mei, C.L. and Yan, X.D., 2008. Local linear estimation of spatially varying coefficient models: an improvement on the geographically weighted regression technique. Environment and Planning A, 40, 986–1005.
  • Zhang, W., Lee, S.Y. and Song, X., 2002. Local polynomial fitting in semivarying coefficient models. Journal of Multivariate Analysis, 82, 166–188.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.