Open Access
June, 1994 Consistency in a Proportional Hazards Model Incorporating a Random Effect
S. A. Murphy
Ann. Statist. 22(2): 712-731 (June, 1994). DOI: 10.1214/aos/1176325492

Abstract

The frailty model is a generalization of Cox's proportional hazards model which includes a random effect. Nielsen, Gill, Andersen and Sorensen proposed an EM algorithm to estimate the cumulative baseline hazard and the variance of the random effect. Here existence and consistency of the estimators are proved. An example using truncated and censored data is considered.

Citation

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S. A. Murphy. "Consistency in a Proportional Hazards Model Incorporating a Random Effect." Ann. Statist. 22 (2) 712 - 731, June, 1994. https://doi.org/10.1214/aos/1176325492

Information

Published: June, 1994
First available in Project Euclid: 11 April 2007

zbMATH: 0827.62033
MathSciNet: MR1292537
Digital Object Identifier: 10.1214/aos/1176325492

Subjects:
Primary: 62M09
Secondary: 62G05

Keywords: counting processes , frailty model , random effects , Survival analysis

Rights: Copyright © 1994 Institute of Mathematical Statistics

Vol.22 • No. 2 • June, 1994
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