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\noindent Statistica Sinica {\bf 17}(2007), 761-774

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\centerline{\large\bf ESTIMATING SPECIES ACCUMULATION CURVES}
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\centerline{\large\bf  AND DIVERSITY INDICES}
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\author{Chang Xuan Mao}
\vspace{.4cm} \centerline{\it University of California, Riverside}
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\noindent {\it Abstract:}
Diversity arises as a significant concept in many scientific fields,
and particularly  in ecology. The relationships between diversity
indices and species accumulation functions are investigated.
Nonparametric methods are illustrated with ecological examples.\par
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\noindent {\it Key words and phrases:}
Poisson mixture,  rarefaction,  species richness.\par
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