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\footnotesize
\noindent Statistica Sinica {\bf 17}(2007), 427-444

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\centerline{\large\bf BAYESIAN NONPARAMETRIC ESTIMATION OF}
\vspace{2pt}
\centerline{\large\bf  A BIVARIATE SURVIVAL FUNCTION}
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\author{Paolo Bulla$^1$, Pietro Muliere$^1$ and Stephen Walker$^2$}
\vspace{.4cm} \centerline{\it $^1$Universit\`a Bocconi  and
$^2$University of Kent} \vspace{.55cm} 
\begin{quotation}
\noindent {\it Abstract:}
We use a bivariate reinforced process derived from a Generalized P\'olya Urn scheme to
provide an estimator for a bivariate survival function. The estimator may be considered
as a Bayesian nonparametric predictive estimator and it can be obtained easily via an
implementation of a Gibbs sampler. Consistency of the estimator is studied.\par
\vspace{9pt}
\noindent {\it Key words and phrases:}
Bayesian nonparametric, beta-Stacy process, bivariate survival function, P\'olya urn scheme. \par
\end{quotation}

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