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

Jan Ondrich ()
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Jan Ondrich: Center for Policy Research, Maxwell School, Syracuse University, https://www.maxwell.syr.edu/directory/jan-ondrich

No 68, Center for Policy Research Working Papers from Center for Policy Research, Maxwell School, Syracuse University

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.

Keywords: proportional hazard; random effects; partial likelihood; GEV class (search for similar items in EconPapers)
JEL-codes: C14 C41 (search for similar items in EconPapers)
Pages: 54 pages
Date: 2005-08
New Economics Papers: this item is included in nep-dcm and nep-ecm
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Persistent link: https://EconPapers.repec.org/RePEc:max:cprwps:68

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