Cox-McFadden Partial and Marginal Likelihoods for the Proportional Hazard Model with Random Effects

Author(s)/Creator(s)

Jan Ondrich, Syracuse University. Center for Policy ResearchFollow

Description/Abstract

In survival analysis, Cox's name is associated with the partial likelihood technique that allows consistent estimation of proportional hazard scale parameters without specifying a duration dependence baseline. In discrete choice analysis, McFadden's name is associated with the generalized extreme-value (GEV) class of logistic choice models that relax the independence of irrelevant alternatives assumption. This paper shows that the mixed class of proportional hazard specifications allowing consistent estimation of scale and mixing parameters using partial likelihood is isomorphic to the GEV class. Independent censoring is allowed and I discuss approximations to the partial likelihood in the presence of ties. Finally, the partial likelihood score vector can be used to construct log-rank tests that do not require the independence of observations involved.

Document Type

Working Paper

Date

2005

Keywords

proportional hazard, random effects, partial likelihood, GEV class

Language

English

Series

Working Papers Series

Disciplines

Econometrics

Additional Information

Harvest from RePEc at http://repec.org

Recommended Citation

Ondrich, Jan, "Cox-McFadden Partial and Marginal Likelihoods for the Proportional Hazard Model with Random Effects" (2005). Center for Policy Research. 95.
https://surface.syr.edu/cpr/95

Source

Metadata from RePEc