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Multivariate Control Chart and Lee-Carter Models to Study Mortality Changes

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Multivariate Control Chart and Lee-Carter Models to Study Mortality Changes

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dc.contributor.author Diaz-Rojo, Gisou es_ES
dc.contributor.author Debón Aucejo, Ana María es_ES
dc.contributor.author Mosquera, Jaime es_ES
dc.date.accessioned 2021-02-24T04:32:17Z
dc.date.available 2021-02-24T04:32:17Z
dc.date.issued 2020-11 es_ES
dc.identifier.uri http://hdl.handle.net/10251/162259
dc.description.abstract [EN] The mortality structure of a population usually reflects the economic and social development of the country. The purpose of this study was to identify moments in time and age intervals at which the observed probability of death is substantially different from the pattern of mortality for a studied period. Therefore, a mortality model was fitted to decompose the historical pattern of mortality. The model residuals were monitored by the T-2 multivariate control chart to detect substantial changes in mortality that were not identified by the model. The abridged life tables for Colombia in the period 1973-2005 were used as a case study. The Lee-Carter model collects information regarding violence in Colombia. Therefore, the years identified as out-of-control in the charts are associated with very early or quite advanced ages of death and are inversely related to the violence that did not claim as many victims at those ages. The mortality changes identified in the control charts pertain to changes in the population's health conditions or new causes of death such as COVID-19 in the coming years. The proposed methodology is generalizable to other countries, especially developing countries. es_ES
dc.description.sponsorship This research received external funding from the Universitat Politecnica de Valencia (UPV) and the Universidad del Tolima (UT) to cover translation and publication costs. es_ES
dc.language Inglés es_ES
dc.publisher MDPI AG es_ES
dc.relation.ispartof Mathematics es_ES
dc.rights Reconocimiento (by) es_ES
dc.subject Lee-Carter model es_ES
dc.subject Life table es_ES
dc.subject Multivariate control charts es_ES
dc.subject T2 control chart es_ES
dc.subject MTY decomposition es_ES
dc.subject.classification ESTADISTICA E INVESTIGACION OPERATIVA es_ES
dc.title Multivariate Control Chart and Lee-Carter Models to Study Mortality Changes es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.3390/math8112093 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MINECO//MTM2013-45381-P/ES/DIFERENCIAS DE LONGEVIDAD EN LA UNION EUROPEA: APLICACION DE NUEVOS METODOS PARA SU EVALUACION Y ANALISIS/ es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Estadística e Investigación Operativa Aplicadas y Calidad - Departament d'Estadística i Investigació Operativa Aplicades i Qualitat es_ES
dc.description.bibliographicCitation Diaz-Rojo, G.; Debón Aucejo, AM.; Mosquera, J. (2020). Multivariate Control Chart and Lee-Carter Models to Study Mortality Changes. Mathematics. 8(11):1-17. https://doi.org/10.3390/math8112093 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.3390/math8112093 es_ES
dc.description.upvformatpinicio 1 es_ES
dc.description.upvformatpfin 17 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 8 es_ES
dc.description.issue 11 es_ES
dc.identifier.eissn 2227-7390 es_ES
dc.relation.pasarela S\422496 es_ES
dc.contributor.funder Universidad del Tolima es_ES
dc.contributor.funder Universitat Politècnica de València es_ES
dc.contributor.funder Ministerio de Economía y Competitividad es_ES
dc.description.references Alexopoulos, A., Dellaportas, P., & Forster, J. J. (2018). Bayesian forecasting of mortality rates by using latent Gaussian models. Journal of the Royal Statistical Society: Series A (Statistics in Society), 182(2), 689-711. doi:10.1111/rssa.12422 es_ES
dc.description.references Callot, L., Haldrup, N., & Kallestrup-Lamb, M. (2015). Deterministic and stochastic trends in the Lee–Carter mortality model. Applied Economics Letters, 23(7), 486-493. doi:10.1080/13504851.2015.1083075 es_ES
dc.description.references Carfora, M. F., Cutillo, L., & Orlando, A. (2017). A quantitative comparison of stochastic mortality models on Italian population data. Computational Statistics & Data Analysis, 112, 198-214. doi:10.1016/j.csda.2017.03.012 es_ES
dc.description.references Booth, H., Hyndman, R. J., Tickle, L., & de Jong, P. (2006). Lee-Carter mortality forecasting: a multi-country comparison of variants and extensions. Demographic Research, 15, 289-310. doi:10.4054/demres.2006.15.9 es_ES
dc.description.references Salhi, Y., & Loisel, S. (2016). Basis risk modelling: a cointegration-based approach. Statistics, 51(1), 205-221. doi:10.1080/02331888.2016.1259806 es_ES
dc.description.references Postigo-Boix, M., Agüero, R., & Melús-Moreno, J. L. (2019). An alternative procedure to obtain the mortality rate with non-linear functions: Application to the case of the Spanish population. PLOS ONE, 14(10), e0223789. doi:10.1371/journal.pone.0223789 es_ES
dc.description.references Belliard, M., & Williams, I. (2013). Proyección estocástica de la mortalidad. Una aplicación de Lee-Carter en la Argentina. Revista Latinoamericana de Población, 7(13), 129-148. doi:10.31406/relap2013.v7.i2.n13.6 es_ES
dc.description.references García Guerrero, V. M., & Ordorica Mellado, M. (2012). Proyección estocástica de la mortalidad mexicana por medio del método de Lee-Carter / Stochastic Projection of Mexican Mortality through the Lee-Carter Method. Estudios Demográficos y Urbanos, 27(2), 409. doi:10.24201/edu.v27i2.1418 es_ES
dc.description.references Diaz, G., Debón, A., & Giner-Bosch, V. (2018). Mortality forecasting in Colombia from abridged life tables by sex. Genus, 74(1). doi:10.1186/s41118-018-0038-6 es_ES
dc.description.references Mason, R. L., Tracy, N. D., & Young, J. C. (1995). Decomposition ofT2 for Multivariate Control Chart Interpretation. Journal of Quality Technology, 27(2), 99-108. doi:10.1080/00224065.1995.11979573 es_ES
dc.description.references Shewhart, W. A. (1927). Quality Control. Bell System Technical Journal, 6(4), 722-735. doi:10.1002/j.1538-7305.1927.tb00215.x es_ES
dc.description.references Woodall, W. H. (2006). The Use of Control Charts in Health-Care and Public-Health Surveillance. Journal of Quality Technology, 38(2), 89-104. doi:10.1080/00224065.2006.11918593 es_ES
dc.description.references Vetter, T. R., & Morrice, D. (2019). Statistical Process Control. Anesthesia & Analgesia, 128(2), 374-382. doi:10.1213/ane.0000000000003977 es_ES
dc.description.references Benneyan, J. C. (2003). Statistical process control as a tool for research and healthcare improvement. Quality and Safety in Health Care, 12(6), 458-464. doi:10.1136/qhc.12.6.458 es_ES
dc.description.references Imam, N., Spelman, T., Johnson, S. A., & Worth, L. J. (2019). Statistical Process Control Charts for Monitoring Staphylococcus aureus Bloodstream Infections in Australian Health Care Facilities. Quality Management in Health Care, 28(1), 39-44. doi:10.1097/qmh.0000000000000201 es_ES
dc.description.references Williamson, G. D., & Weatherby Hudson, G. (1999). A monitoring system for detecting aberrations in public health surveillance reports. Statistics in Medicine, 18(23), 3283-3298. doi:10.1002/(sici)1097-0258(19991215)18:23<3283::aid-sim316>3.0.co;2-z es_ES
dc.description.references Thacker, S. B., Stroup, D. F., Rothenberg, R. B., & Brownson, R. C. (1995). Public health surveillance for chronic conditions: A scientific basis for decisions. Statistics in Medicine, 14(5-7), 629-641. doi:10.1002/sim.4780140520 es_ES
dc.description.references Yue, J., Lai, X., Liu, L., & Lai, P. B. S. (2017). A new VLAD-based control chart for detecting surgical outcomes. Statistics in Medicine, 36(28), 4540-4547. doi:10.1002/sim.7362 es_ES
dc.description.references Chamberlin, W. H., Lane, K. A., Kennedy, J. N., Bradley, S. D., & Rice, C. L. (1993). Monitoring intensive care unit performance using statistical quality control charts. International Journal of Clinical Monitoring and Computing, 10(3), 155-161. doi:10.1007/bf01246449 es_ES
dc.description.references Marshall, T., & Mohammed, M. A. (2007). Case-mix and the use of control charts in monitoring mortality rates after coronary artery bypass. BMC Health Services Research, 7(1). doi:10.1186/1472-6963-7-63 es_ES
dc.description.references Briceno-Leon, R., Villaveces, A., & Concha-Eastman, A. (2008). Understanding the uneven distribution of the incidence of homicide in Latin America. International Journal of Epidemiology, 37(4), 751-757. doi:10.1093/ije/dyn153 es_ES
dc.description.references Gaviria, A. (2000). Increasing returns and the evolution of violent crime: the case of Colombia. Journal of Development Economics, 61(1), 1-25. doi:10.1016/s0304-3878(99)00059-0 es_ES
dc.description.references Latin American Human Mortality Databasewww.lamortalidad.org es_ES
dc.description.references BOOTH, H., MAINDONALD, J., & SMITH, L. (2002). Applying Lee-Carter under conditions of variable mortality decline. Population Studies, 56(3), 325-336. doi:10.1080/00324720215935 es_ES
dc.description.references Renshaw, A. E., & Haberman, S. (2003). Lee–Carter mortality forecasting with age-specific enhancement. Insurance: Mathematics and Economics, 33(2), 255-272. doi:10.1016/s0167-6687(03)00138-0 es_ES
dc.description.references Debón, A., Montes, F., & Puig, F. (2008). Modelling and forecasting mortality in Spain. European Journal of Operational Research, 189(3), 624-637. doi:10.1016/j.ejor.2006.07.050 es_ES
dc.description.references Debón, A., Martínez-Ruiz, F., & Montes, F. (2010). A geostatistical approach for dynamic life tables: The effect of mortality on remaining lifetime and annuities. Insurance: Mathematics and Economics, 47(3), 327-336. doi:10.1016/j.insmatheco.2010.07.007 es_ES
dc.description.references Wang, D., & Lu, P. (2005). Modelling and forecasting mortality distributions in England and Wales using the Lee–Carter model. Journal of Applied Statistics, 32(9), 873-885. doi:10.1080/02664760500163441 es_ES
dc.description.references Renshaw, A. E., & Haberman, S. (2008). On simulation-based approaches to risk measurement in mortality with specific reference to Poisson Lee–Carter modelling. Insurance: Mathematics and Economics, 42(2), 797-816. doi:10.1016/j.insmatheco.2007.08.009 es_ES
dc.description.references Coelho, E., & Nunes, L. C. (2011). Forecasting mortality in the event of a structural change. Journal of the Royal Statistical Society: Series A (Statistics in Society), 174(3), 713-736. doi:10.1111/j.1467-985x.2010.00687.x es_ES
dc.description.references Villegas, A. M., Kaishev, V. K., & Millossovich, P. (2018). StMoMo: An R Package for Stochastic Mortality Modeling. Journal of Statistical Software, 84(3). doi:10.18637/jss.v084.i03 es_ES
dc.description.references Tracy, N. D., Young, J. C., & Mason, R. L. (1992). Multivariate Control Charts for Individual Observations. Journal of Quality Technology, 24(2), 88-95. doi:10.1080/00224065.1992.12015232 es_ES
dc.description.references Champ, C. W., & Jones-Farmer, L. A. (2007). Properties of Multivariate Control Charts with Estimated Parameters. Sequential Analysis, 26(2), 153-169. doi:10.1080/07474940701247040 es_ES
dc.description.references gnm: Generalized Nonlinear Models. R Package Version 1.0-8https://CRAN.R-project.org/package=gnm es_ES
dc.description.references qcc: Quality Control Charting. R Package Version 2.7https://CRAN.R-project.org/package=qcc es_ES
dc.description.references Urdinola, B. P., Torres Áviles†, F., & Velasco, J. A. (2017). The Homicide Atlas in Colombia: Contagion and Under-Registration for Small Areas. Cuadernos de Geografía: Revista Colombiana de Geografía, 26(1), 101-118. doi:10.15446/rcdg.v26n1.55429 es_ES
dc.subject.ods 03.- Garantizar una vida saludable y promover el bienestar para todos y todas en todas las edades es_ES


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