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\noindent Statistica Sinica {\bf 16}(2006), 135-151

\vspace{3pc} \normalsize
\centerline{\large\bf ASYMPTOTIC RESULTS FOR FITTING SEMIPARAMETRIC}
\vspace{2pt}
\centerline{\large\bf  TRANSFORMATION MODELS TO FAILURE TIME DATA}
\vspace{2pt}
\centerline{\large\bf  FROM CASE-COHORT STUDIES}
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\author{Lan Kong$^1$, Jianwen Cai$^2$ and Pranab K. Sen$^2$}
\vspace{.4cm}
\centerline{\it $^1$University of Pittsburgh and $^2$University of North Carolina at Chapel Hill}
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\begin{quotation}
\noindent {\it Abstract:}
Semiparametric transformation models are considered for failure time data from case-cohort
studies, where the covariates are assembled only for a randomly selected subcohort from
the entire cohort and additional cases outside the subcohort. We present the estimating
procedures for the regression parameters and survival probability. The asymptotic properties
of the resulting estimators are developed based on asymptotic results for U-statistics,
martingales, stochastic processes and finite population sampling.\par
\par
\vspace{9pt}
\noindent {\it Key words and phrases:}
Asymptotic distribution, case-cohort design, consistency, finite population sampling,
semiparametric transformation models, U-statistic.
\par
\end{quotation}

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