Additive hazards regression with random effects for clustered failure times
Gespeichert in:
Verfasser / Beitragende:
[Deng Pan, Yan Liu, Yuan Wu]
Ort, Verlag, Jahr:
2015
Enthalten in:
Acta Mathematica Sinica, English Series, 31/3(2015-03-01), 511-525
Format:
Artikel (online)
Online Zugang:
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| 024 | 7 | 0 | |a 10.1007/s10114-015-3628-7 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10114-015-3628-7 | ||
| 245 | 0 | 0 | |a Additive hazards regression with random effects for clustered failure times |h [Elektronische Daten] |c [Deng Pan, Yan Liu, Yuan Wu] |
| 520 | 3 | |a 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. | |
| 540 | |a Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg, 2015 | ||
| 690 | 7 | |a Additive hazards regression |2 nationallicence | |
| 690 | 7 | |a clustered failure times |2 nationallicence | |
| 690 | 7 | |a counting process |2 nationallicence | |
| 690 | 7 | |a empirical process |2 nationallicence | |
| 690 | 7 | |a frailty |2 nationallicence | |
| 690 | 7 | |a model checking |2 nationallicence | |
| 690 | 7 | |a random effects |2 nationallicence | |
| 700 | 1 | |a Pan |D Deng |u Department of Statistics, Chinese University of Hong Kong, Hong Kong, P. R. China |4 aut | |
| 700 | 1 | |a Liu |D Yan |u School of Mathematics and Statistics, Wuhan University, 430072, Wuhan, P. R. China |4 aut | |
| 700 | 1 | |a Wu |D Yuan |u School of Mathematics and Statistics, Wuhan University, 430072, Wuhan, P. R. China |4 aut | |
| 773 | 0 | |t Acta Mathematica Sinica, English Series |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society |g 31/3(2015-03-01), 511-525 |x 1439-8516 |q 31:3<511 |1 2015 |2 31 |o 10114 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10114-015-3628-7 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10114-015-3628-7 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Pan |D Deng |u Department of Statistics, Chinese University of Hong Kong, Hong Kong, P. R. China |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Liu |D Yan |u School of Mathematics and Statistics, Wuhan University, 430072, Wuhan, P. R. China |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Wu |D Yuan |u School of Mathematics and Statistics, Wuhan University, 430072, Wuhan, P. R. China |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Acta Mathematica Sinica, English Series |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society |g 31/3(2015-03-01), 511-525 |x 1439-8516 |q 31:3<511 |1 2015 |2 31 |o 10114 | ||