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- W1842022009 abstract "We consider the estimation of the number N of present species in a given area at a given time, based on the abundances of species that have been observed. We adopt a nonparametric approach where the true abundance distribution p is only supposed to be convex. A definition for convex abundance distributions is proposed. A least‐squares estimate of the truncated version of p under the convexity constraint is used. Two estimators of N are deduced, the asymptotic distribution of which are derived. We propose three different procedures, including a bootstrap one, to obtain a confidence interval for N and a standard error for its estimator. The performances of the estimators are assessed in a simulation study and compared with competitors. The proposed method is illustrated on several examples. Copyright © 2015 John Wiley & Sons, Ltd." @default.
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- W1842022009 date "2015-08-25" @default.
- W1842022009 modified "2023-10-16" @default.
- W1842022009 title "Nonparametric species richness estimation under convexity constraint" @default.
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- W1842022009 doi "https://doi.org/10.1002/env.2352" @default.
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