caa a22 4500 605461538 CHVBK 20210128100244.0 cr unu---uuuuu 210128e20150301xx s 000 0 eng 10.1007/s10114-015-3628-7 doi (NATIONALLICENCE)springer-10.1007/s10114-015-3628-7 Additive hazards regression with random effects for clustered failure times [Elektronische Daten] [Deng Pan, Yan Liu, Yuan Wu] Additive hazards model with random effects is proposed for modelling the correlated failure time data when focus is on comparing the failure times within clusters and on estimating the correlation between failure times from the same cluster, as well as the marginal regression parameters. Our model features that, when marginalized over the random effect variable, it still enjoys the structure of the additive hazards model. We develop the estimating equations for inferring the regression parameters. The proposed estimators are shown to be consistent and asymptotically normal under appropriate regularity conditions. Furthermore, the estimator of the baseline hazards function is proposed and its asymptotic properties are also established. We propose a class of diagnostic methods to assess the overall fitting adequacy of the additive hazards model with random effects. We conduct simulation studies to evaluate the finite sample behaviors of the proposed estimators in various scenarios. Analysis of the Diabetic Retinopathy Study is provided as an illustration for the proposed method. Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg, 2015 Additive hazards regression nationallicence clustered failure times nationallicence counting process nationallicence empirical process nationallicence frailty nationallicence model checking nationallicence random effects nationallicence Pan Deng Department of Statistics, Chinese University of Hong Kong, Hong Kong, P. R. China aut Liu Yan School of Mathematics and Statistics, Wuhan University, 430072, Wuhan, P. R. China aut Wu Yuan School of Mathematics and Statistics, Wuhan University, 430072, Wuhan, P. R. China aut Acta Mathematica Sinica, English Series Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 31/3(2015-03-01), 511-525 1439-8516 31:3<511 2015 31 10114 https://doi.org/10.1007/s10114-015-3628-7 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10114-015-3628-7 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Pan Deng Department of Statistics, Chinese University of Hong Kong, Hong Kong, P. R. China aut NATIONALLICENCE 700 1- Liu Yan School of Mathematics and Statistics, Wuhan University, 430072, Wuhan, P. R. China aut NATIONALLICENCE 700 1- Wu Yuan School of Mathematics and Statistics, Wuhan University, 430072, Wuhan, P. R. China aut NATIONALLICENCE 773 0- Acta Mathematica Sinica, English Series Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 31/3(2015-03-01), 511-525 1439-8516 31:3<511 2015 31 10114