A. H. Herring and J. G. Ibrahim, “Likelihood-Based Methods for Missing Covariates in the Cox Proportional Hazards Model,” Journal of the American Statistical Association, Vol. 96, No. 453, 2001, pp. 292-302.
http://dx.doi.org/10.1198/016214501750332866

has been cited by the following article:

• TITLE: On the Convergence of Observed Partial Likelihood under Incomplete Data with Two Class Possibilities

  AUTHORS: Tomoyuki Sugimoto

  KEYWORDS: Cox’s Regression Model; Logistic Regression Model; Incomplete Binary Data; Partial Likelihood; Partial-Sum Processes; Profile Likelihood

  JOURNAL NAME: Open Journal of Statistics, Vol.4 No.2, February 27, 2014

  ABSTRACT: In this paper, we discuss the theoretical validity of the observed partial likelihood (OPL) constructed in a Coxtype model under incomplete data with two class possibilities, such as missing binary covariates, a cure-mixture model or doubly censored data. A main result is establishing the asymptotic convergence of the OPL. To reach this result, as it is difficult to apply some standard tools in the survival analysis, we develop tools for weak convergence based on partial-sum processes. The result of the asymptotic convergence shown here indicates that a suitable order of the number of Monte Carlo trials is less than the square of the sample size. In addition, using numerical examples, we investigate how the asymptotic properties discussed here behave in a finite sample.