Statistical Inference of a Bivariate Proportional Hazard Model with Grouped Data
This paper studies the estimation of a semiparametric bivariate proportional hazard model from event time data under interval censoring. As a direct generalization of the bivariate exponential distribution of Marshall and Olkin, the model, on the one hand, controls for the effects of observed covariates, and on the other, achieves great flexibility through nonparametrically specified baseline hazards. The model is most relevant in analyzing the joint distribution of two event times arising from "systems of two components". Examples include the two infection times of the left and the right kidneys of patients and the two retirement times of married couples. To estimate this semiparametric model from grouped data, we propose a maximum likelihood estimator and a minimum chi-square estimator. Both estimation methods exploit the fact that the most flexible model structure that can be identified with grouped data is finite-dimensional. Compared with the maximum likelihood estimation, the minimum chi-square procedure is computationally more attractive but applies only to "many observations per cell" cases where the covariates are either categorical or amendable to sensible grouping. Specification tests for different model assumptions are also discussed.
|Date of creation:||1996|
|Date of revision:|
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- Mark Yuying An & Roberto Ayala, 1996.
"Nonparametric Estimation of a Survivor Function with Across- Interval-Censored Data,"
- An, Mark Yuying & Ayala, Roberto A., 1996. "Nonparametric Estimation of a Survivor Function with Across-Interval-Censored Data," Working Papers 96-02, Duke University, Department of Economics.
- An, Mark Yuying, 1996.
"Semiparametric Estimation of Willingness to Pay Distributions,"
96-20, Duke University, Department of Economics.
- Mark Yuying An, 1996. "Semiparametric Estimation of Willingness to Pay Distributions," Econometrics 9611001, EconWPA.
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