A simple construction of optimal estimation in multivariate marginal Cox regression

DOI10.1007/s11425-012-4400-4zbMath1318.62292OpenAlexW2063243763MaRDI QIDQ1933955

Zhiliang Ying, Wenquan Cui, Lin Cheng Zhao

Publication date: 28 January 2013

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-012-4400-4

zbMATH Keywords

reproducing kernel Hilbert spacesempirical processesmartingaleestimating equationsmultivariate survival datalimit theorem of reproducing kernelsmarginal proportional hazards regressionWLW method

Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) Estimation in multivariate analysis (62H12) Asymptotic distribution theory in statistics (62E20) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Estimation in survival analysis and censored data (62N02)

Cites Work

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• Cox's regression model for counting processes: A large sample study
• Modeling survival data: extending the Cox model
• Analysis of multivariate survival data
• Weak convergence and empirical processes. With applications to statistics
• Stochastic processes with sample paths in reproducing kernel Hilbert spaces
• A continuous multivariate exponential distribution
• Partial likelihood
• Marginal Regression Models for Multivariate Failure Time Data
• Theory of Reproducing Kernels