Penalized composite link models for aggregated spatial count data: A mixed model approach

Spatial Statistics - Tập 17 - Trang 179-198 - 2016
Diego Ayma1, María Durbán1, Dae-Jin Lee2, Paul H.C. Eilers3
1Department of Statistics, Universidad Carlos III de Madrid, 28911 Leganés, Spain
2Basque Center for Applied Mathematics, 48009 Bilbao, Spain
3Department of Biostatistics, Erasmus University Medical Center, 3015GE Rotterdam, The Netherlands

Tài liệu tham khảo

Agresti, 2015

Banerjee, 2015

Berke, 2004, Exploratory disease mapping: kriging the spatial risk function from regional count data, Int. J. Health Geograph., 3, 1, 10.1186/1476-072X-3-18

Besag, 1991, Bayesian image restoration, with two applications in spatial statistics, Ann. Inst. Statist. Math., 43, 1, 10.1007/BF00116466

Breslow, 1993, Approximate inference in generalized linear mixed models, J. Amer. Statist. Assoc., 88, 9

Byrd, 1995, A limited memory algorithm for bound constrained optimization, SIAM J. Sci. Comput., 16, 1190, 10.1137/0916069

Caudeville, 2012, Development of a spatial stochastic multimedia exposure model to assess population exposure at regional scale, Sci. Total Environ., 432, 297, 10.1016/j.scitotenv.2012.06.001

Clayton, 1987, Empirical Bayes estimates of age-standardized relative risks for use in disease mapping, Biometrics, 43, 671, 10.2307/2532003

Cressie, 1993

Currie, 2002, Flexible smoothing with P-splines: a unified approach, Stat. Model., 2, 333, 10.1191/1471082x02st039ob

Currie, 2006, Generalized linear array models with applications to multidimensional smoothing, J. R. Stat. Soc. Ser. B Stat. Methodol., 68, 259, 10.1111/j.1467-9868.2006.00543.x

Diggle, 2013, Spatial and spatio-temporal log-Gaussian Cox processes: extending the geostatistical paradigm, Statist. Sci., 28, 542, 10.1214/13-STS441

Eilers, 2007, Ill-posed problems with counts, the composite link model and penalized likelihood, Stat. Model., 7, 239, 10.1177/1471082X0700700302

Eilers, P.H.C., 2012. Composite link, the neglected model. In: Komárek, A., Nagy, S., (Eds.), Proceedings of 27th International Workshop on Statistical Modelling, Prague, Czech Republic, pp. 11–23.

Eilers, 2006, Fast and compact smoothing on large multidimensional grids, Comput. Statist. Data Anal., 50, 61, 10.1016/j.csda.2004.07.008

Eilers, 1996, Flexible smoothing with B-splines and penalties, Statist. Sci., 11, 89, 10.1214/ss/1038425655

Eilers, 2015, Twenty years of P-splines, Statist. Oper. Res. Trans.(SORT), 39, 149

Fahrmeir, 2004, Penalized structured additive regression for space–time data: a Bayesian perspective, Statist. Sinica, 14, 731

Gelfand, 2001, On the change of support problem for spatio-temporal data, Biostatistics, 2, 31, 10.1093/biostatistics/2.1.31

Goovaerts, 2005, Geostatistical analysis of disease data: estimation of cancer mortality risk from empirical frequencies using Poisson kriging, Int. J. Health Geograph., 4, 1, 10.1186/1476-072X-4-31

Goovaerts, 2006, Geostatistical analysis of disease data: accounting for spatial support and population density in the isopleth mapping of cancer mortality risk using area-to-point Poisson kriging, Int. J. Health Geograph., 5, 1, 10.1186/1476-072X-5-1

Goovaerts, 2008, Kriging and semivariogram deconvolution in presence of irregular geographical units, Math. Geol., 40, 101

Gotway, 2002, Combining incompatible spatial data, J. Amer. Statist. Assoc., 97, 632, 10.1198/016214502760047140

Green, 1987, Penalized likelihood for general semi-parametric regression models, Internat. Statist. Rev., 55, 245, 10.2307/1403404

Hastie, 1990

Jacquez, 2014

Kelsall, 2002, Modeling spatial variation in disease risk: a geostatistical approach, J. Amer. Statist. Assoc., 97, 692, 10.1198/016214502388618438

Lambert, 2011, Smooth semiparametric and nonparametric Bayesian estimation of bivariate densities from bivariate histogram data, Comput. Statist. Data Anal., 55, 429, 10.1016/j.csda.2010.05.011

Lambert, 2009, Bayesian density estimation from grouped continuous data, Comput. Statist. Data Anal., 53, 1388, 10.1016/j.csda.2008.11.022

Lee, 2010

Lee, 2009, Smooth-CAR mixed models for spatial count data, Comput. Statist. Data Anal., 53, 2968, 10.1016/j.csda.2008.07.025

Lin, 1999, Inference in generalized additive mixed models by using smoothing splines, J. R. Stat. Soc. Ser. B Stat. Methodol., 61, 381, 10.1111/1467-9868.00183

MacNab, 2002, Spatio-temporal modelling of rates for the construction of disease maps, Stat. Med., 21, 347, 10.1002/sim.1021

Monestiez, 2005, Comparison of model based geostatistical methods in ecology: application to fin whale spatial distribution in Northwestern Mediterranean Sea, vol. 14, 777

Monestiez, 2006, Geostatistical modelling of spatial distribution of Balaenoptera physalus in the Northwestern Mediterranean Sea from sparse count data and heterogeneous observation efforts, Ecol. Modell., 193, 615, 10.1016/j.ecolmodel.2005.08.042

Mugglin, 1998, Hierarchical modeling in geographic information systems: population interpolation over incompatible zones, J. Agric. Biol. Environ. Stat., 3, 111, 10.2307/1400646

Mugglin, 2000, Fully model-based approaches for spatially misaligned data, J. Amer. Statist. Assoc., 95, 877, 10.1080/01621459.2000.10474279

Patterson, 1971, Recovery of inter-block information when block sizes are unequal, Biometrika, 58, 545, 10.1093/biomet/58.3.545

Perperoglou, 2010, Penalized regression with individual deviance effects, Comput. Statist., 25, 341, 10.1007/s00180-009-0180-x

Pickle, 1999, Exploring spatial patterns of mortality: the new Atlas of United States Mortality, Stat. Med., 18, 3211, 10.1002/(SICI)1097-0258(19991215)18:23<3211::AID-SIM311>3.0.CO;2-Q

R Core Team, 2015. R: A Language and Environment for Statistical Computing. R Foundation for Statistical Computing. Vienna, Austria. URL: http://www.R-project.org.

Ramsay, 2002, Spline smoothing over difficult regions, J. R. Stat. Soc. Ser. B Stat. Methodol., 64, 307, 10.1111/1467-9868.00339

Rey, 2009, Ecological association between a deprivation index and mortality in France over the period 1997–2001: variations with spatial scale, degree of urbanicity, age, gender and cause of death, BMC Public Health, 9, 10.1186/1471-2458-9-33

Rodríguez-Álvarez, 2015, Fast smoothing parameter separation in multidimensional generalized P-splines: the SAP algorithm, Stat. Comput., 25, 941, 10.1007/s11222-014-9464-2

Salmond, 2012, Development of New Zealand’s deprivation index (NZDep) and its uptake as a national policy tool, Can. J. Public Health, 103, S7

Schall, 1991, Estimation in generalized linear models with random effects, Biometrika, 78, 719, 10.1093/biomet/78.4.719

Thompson, 1981, Composite link functions in generalized linear models, J. R. Stat. Soc. Ser. C. Appl. Stat., 30, 125

Ver Hoef, 2012, Who invented the Delta method?, Amer. Statist., 66, 124, 10.1080/00031305.2012.687494

Waller, 2004

Wood, 2008, Soap film smoothing, J. R. Stat. Soc. Ser. B Stat. Methodol., 70, 931, 10.1111/j.1467-9868.2008.00665.x

Zhu, 2000, Hierarchical modeling of spatio-temporally misaligned data: relating traffic density to pediatric asthma hospitalizations, Environmetrics, 11, 43, 10.1002/(SICI)1099-095X(200001/02)11:1<43::AID-ENV380>3.0.CO;2-V

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Spatial Statistics

Tập 17

179-198

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