Z-estimation and stratified samples: application to survival models

Verfasser / Beitragende:
[Norman Breslow, Jie Hu, Jon Wellner]
Ort, Verlag, Jahr:
2015
Enthalten in:
Lifetime Data Analysis, 21/4(2015-10-01), 493-516
Format:
Artikel (online)
ID: 605476152
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024 7 0 |a 10.1007/s10985-014-9317-5  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10985-014-9317-5 
245 0 0 |a Z-estimation and stratified samples: application to survival models  |h [Elektronische Daten]  |c [Norman Breslow, Jie Hu, Jon Wellner] 
520 3 |a The infinite dimensional Z-estimation theorem offers a systematic approach to joint estimation of both Euclidean and non-Euclidean parameters in probability models for data. It is easily adapted for stratified sampling designs. This is important in applications to censored survival data because the inverse probability weights that modify the standard estimating equations often depend on the entire follow-up history. Since the weights are not predictable, they complicate the usual theory based on martingales. This paper considers joint estimation of regression coefficients and baseline hazard functions in the Cox proportional and Lin-Ying additive hazards models. Weighted likelihood equations are used for the former and weighted estimating equations for the latter. Regression coefficients and baseline hazards may be combined to estimate individual survival probabilities. Efficiency is improved by calibrating or estimating the weights using information available for all subjects. Although inefficient in comparison with likelihood inference for incomplete data, which is often difficult to implement, the approach provides consistent estimates of desired population parameters even under model misspecification. 
540 |a Springer Science+Business Media New York, 2015 
690 7 |a Semiparametric models  |2 nationallicence 
690 7 |a Proportional hazards  |2 nationallicence 
690 7 |a Additive hazards  |2 nationallicence 
690 7 |a Calibration of sampling weights  |2 nationallicence 
690 7 |a Model misspecification  |2 nationallicence 
690 7 |a Survey sampling  |2 nationallicence 
700 1 |a Breslow  |D Norman  |u Department of Biostatistics, University of Washington, Seattle, WA, USA  |4 aut 
700 1 |a Hu  |D Jie  |u Department of Biostatistics, University of Washington, Seattle, WA, USA  |4 aut 
700 1 |a Wellner  |D Jon  |u Department of Statistics, University of Washington, Seattle, WA, USA  |4 aut 
773 0 |t Lifetime Data Analysis  |d Springer US; http://www.springer-ny.com  |g 21/4(2015-10-01), 493-516  |x 1380-7870  |q 21:4<493  |1 2015  |2 21  |o 10985 
856 4 0 |u https://doi.org/10.1007/s10985-014-9317-5  |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/s10985-014-9317-5  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Breslow  |D Norman  |u Department of Biostatistics, University of Washington, Seattle, WA, USA  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Hu  |D Jie  |u Department of Biostatistics, University of Washington, Seattle, WA, USA  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Wellner  |D Jon  |u Department of Statistics, University of Washington, Seattle, WA, USA  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Lifetime Data Analysis  |d Springer US; http://www.springer-ny.com  |g 21/4(2015-10-01), 493-516  |x 1380-7870  |q 21:4<493  |1 2015  |2 21  |o 10985