Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A New Estimator for the Number of Species in a Population   We consider the classic problem of estimating T, the total number of species
in a population, from repeated counts in a simple random sample. We look first
at the Chao-Lee estimator: we initially show that such estimator can be
obtained by reconciling two estimators of the unobserved probability, and then
develop a sequence of improvements culminating in a Dirichlet prior Bayesian
reinterpretation of the estimation problem. By means of this, we obtain
simultaneous estimates of T, of the normalized interspecies variance $\gamma^2$
and of the parameter $\lambda$ of the prior. Several simulations show that our
estimation method is more flexible than several known methods we used as
comparison; the only limitation, apparently shared by all other methods, seems
to be that it cannot deal with the rare cases in which $\gamma^2 >1$

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The categories of this paper are: cond-mat
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The categories of this paper are: mtrl-th
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-ex
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The categories of this paper are: cmp-lg
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The categories of this paper are: solv-int
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The categories of this paper are: nlin
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The categories of this paper are: math-ph
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The categories of this paper are: funct-an
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The categories of this paper are: hep-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: adap-org
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-th
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The categories of this paper are: q-alg
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The categories of this paper are: acc-phys