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Statistica Sinica 10(2000), 1257-1266



ESTIMATION IN A PROPORTIONAL HAZARD MODEL FOR

SEMI-MARKOV COUNTING PROCESS


I-Shou Chang, Chao A. Hsiung and Su-Mei Wu


National Central University, National Health Research Institutes
and National Central University


Abstract: Estimation is studied in a regression model for counting processes whose baseline intensity processes are of semi-Markov form. Asymptotic normality is established for a Breslow-type estimator of the cumulative baseline hazard for each gap time of the counting process.



Key words and phrases: Breslow-type estimator, counting process, proportional hazard model, semi-Markov model.



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