dc.contributor.author | Bednarski, Tadeusz | |
dc.contributor.author | Skolimowska-Kulig, Magdalena | |
dc.date.accessioned | 2018-10-08T13:33:25Z | |
dc.date.available | 2018-10-08T13:33:25Z | |
dc.date.issued | 2018 | |
dc.identifier.issn | 0208-6018 | |
dc.identifier.uri | http://hdl.handle.net/11089/25936 | |
dc.description.abstract | A computationally attractive method of estimation of parameters for a class of frailty regression models is discussed. The method uses maximum likelihood estimation for the classical exponential regression model. Scaled Fisher consistency is shown to hold and a simulation study indicating good asymptotic properties of the method, as well as real data case analysis, are presented. | en_GB |
dc.description.abstract | W artykule omówiono atrakcyjną obliczeniowo metodę estymacji parametrów dla klasy modeli regresyjnych z nieobserwowaną zmienną „frailty”. Dowiedziono, że estymator największej wiarygodności stosowany w klasycznym wykładniczym modelu regresji jest Fisherowsko zgodny z dokładnością do skali w rozważanym modelu „frailty”. Przeprowadzone badania symulacyjne oraz analiza rzeczywistych danych wskazują na dobre własności asymptotyczne prezentowanej metody estymacji. | pl_PL |
dc.language.iso | en | en_GB |
dc.publisher | Wydawnictwo Uniwersytetu Łódzkiego | en_GB |
dc.relation.ispartofseries | Acta Universitatis Lodziensis. Folia Oeconomica;338; 338 | |
dc.subject | frailty models | en_GB |
dc.subject | maximum likelihood estimation | en_GB |
dc.subject | Fisher consistency | en_GB |
dc.subject | modele frailty | pl_PL |
dc.subject | estymacja największej wiarygodności | pl_PL |
dc.subject | Fisherowska zgodność | pl_PL |
dc.title | Scaled Consistent Estimation of Regression Parameters in Frailty Models | en_GB |
dc.title.alternative | Zgodna z dokładnością do skali estymacja parametrów w modelach regresji ze zmienną „frailty” | pl_PL |
dc.type | Article | en_GB |
dc.rights.holder | © Copyright by Authors, Łódź 2018; © Copyright for this edition by Uniwersytet Łódzki, Łódź 2018 | en_GB |
dc.page.number | 133-142 | |
dc.contributor.authorAffiliation | University of Wrocław, Faculty of Law, Administration and Economics, Institute of Economic Sciences | |
dc.contributor.authorAffiliation | University of Wrocław, Faculty of Law, Administration and Economics, Institute of Economic Sciences | |
dc.identifier.eissn | 2353-7663 | |
dc.references | Aalen O.O. (1992), Modelling heterogeneity in survival analysis by the compound Poisson distribution, “Annals of Applied Probability”, vol. 2, no. 4, pp. 951–972. | pl_PL |
dc.references | Aalen O.O., Borgan O., Gjessing H.K. (2008), Survival and Event History Analysis. A Process Point of View, Springer, New York. | pl_PL |
dc.references | Bednarski T. (1993), Robust estimation in Cox regression model, “Scandinavian Journal of Statistics”, vol. 20, no. 3, pp. 213–225. | pl_PL |
dc.references | Cox D.R. (1972), Regression models and life‑tables (with discussion), “Journal of the Royal Statistical Society B”, vol. 34, no. 2, pp. 187–220. | pl_PL |
dc.references | Henderson R., Oman P. (1999), Effect of frailty on marginal regression estimates in survival analysis, “Journal of the Royal Statistical Society B”, vol. 61, no. 2, pp. 367–379. | pl_PL |
dc.references | Kalbfleisch J.D., Prentice R.L. (1980), The Statistical Analysis of Failure Time Data, Wiley, New York. | pl_PL |
dc.references | Minder C.E., Bednarski T. (1996), A robust method for proportional hazard regression, “Statistics in Medicine”, vol. 15, pp. 1033–1047. | pl_PL |
dc.references | Murphy S.A. (1994), Consistency in a proportional hazard model incorporating a random effect, “The Annals of Statistics”, vol. 22, no. 2, pp. 712–734. | pl_PL |
dc.references | Ruud P. (1983), Sufficient conditions for the consistency of maximum likelihood estimation despite misspecification of distribution in multinomial discrete choice models, “Econometrica”, vol. 51, no. 1, pp. 225–228. | pl_PL |
dc.references | Sasieni P.D. (1993), Maximum weighted partial likelihood estimates for the Cox model, “Journal of the American Statistical Association”, vol. 88, pp. 144–152. | pl_PL |
dc.references | Stoker T. (1986), Consistent estimation of scaled coefficients, “Econometrica”, vol. 54, no. 6, pp. 1461–1481. | pl_PL |
dc.references | Vaupel J.W., Manton K.G., Stallard E. (1979), The impact of heterogeneity in individual frailty on the dynamics of mortality, “Demography”, vol. 16, pp. 439–454. | pl_PL |
dc.contributor.authorEmail | tadeusz.bednarski@uwr.edu.pl | |
dc.contributor.authorEmail | magdalena.skolimowska-kulig@uwr.edu.pl | |
dc.identifier.doi | 10.18778/0208-6018.338.08 | |
dc.relation.volume | 5 | en_GB |
dc.subject.jel | C13 | |
dc.subject.jel | C18 | |