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Xiaodong Luo, Wei Yann Tsai, Moment-type estimators for the proportional likelihood ratio model with longitudinal data, Biometrika, Volume 102, Issue 1, March 2015, Pages 121–134, https://doi.org/10.1093/biomet/asu055
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Abstract
Luo & Tsai, Biometrika99, 211–22, 2012, proposed a proportional likelihood ratio model and discussed a maximum likelihood method for its parameter estimation. In this paper, we use this model as the marginal distribution to analyse longitudinal data, where the maximum likelihood method is not directly applicable because the joint distribution is not fully specified. We propose a moment-type method that is an extension of the generalized estimating equation method. The resulting estimators are consistent, asymptotically normal and perform well in our simulation study.