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Generalized Geographically Weighted Regression Model within a Modularized Bayesian Framework* (Record no. 2007)

MARC details
042 ## - AUTHENTICATION CODE
Authentication code dc
100 10 - MAIN ENTRY--PERSONAL NAME
Personal name Liu, Yang
Relator term author
9 (RLIN) 2539
245 00 - TITLE STATEMENT
Title Generalized Geographically Weighted Regression Model within a Modularized Bayesian Framework*
260 ## - PUBLICATION, DISTRIBUTION, ETC.
Date of publication, distribution, etc. 2023-01-01.
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General note /pmc/articles/PMC7614111/
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General note /pubmed/36714467
520 ## - SUMMARY, ETC.
Summary, etc. Geographically weighted regression (GWR) models handle geographical dependence through a spatially varying coefficient model and have been widely used in applied science, but its general Bayesian extension is unclear because it involves a weighted log-likelihood which does not imply a probability distribution on data. We present a Bayesian GWR model and show that its essence is dealing with partial misspecification of the model. Current modularized Bayesian inference models accommodate partial misspecification from a single component of the model. We extend these models to handle partial misspecification in more than one component of the model, as required for our Bayesian GWR model. Information from the various spatial locations is manipulated via a geographically weighted kernel and the optimal manipulation is chosen according to a Kullback-Leibler (KL) divergence. We justify the model via an information risk minimization approach and show the consistency of the proposed estimator in terms of a geographically weighted KL divergence.
540 ## - TERMS GOVERNING USE AND REPRODUCTION NOTE
Terms governing use and reproduction
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Terms governing use and reproduction https://creativecommons.org/licenses/by/4.0/This work is licensed under a CC BY 4.0 (https://creativecommons.org/licenses/by/4.0/) International license.
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Language note en
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Topical term or geographic name as entry element Article
655 7# - INDEX TERM--GENRE/FORM
Genre/form data or focus term Text
Source of term local
700 10 - ADDED ENTRY--PERSONAL NAME
Personal name Goudie, Robert J. B.
Relator term author
9 (RLIN) 2540
786 0# - DATA SOURCE ENTRY
Note Bayesian Anal
856 41 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="http://dx.doi.org/10.1214/22-BA1357">http://dx.doi.org/10.1214/22-BA1357</a>
Public note Connect to this object online.

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