Estimating species richness by a Poisson-compound gamma model
利用泊松复合伽马模型估计物种丰富度AI 解读 ↓
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AI 根据所提供的论文材料归类:研究对象是物种数量与混合分布估计,不能仅因使用混合模型而归入分布效应或结构估计。
利用泊松复合伽马模型估计物种丰富度AI 解读 ↓
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We propose a Poisson-compound gamma approach for species richness estimation. Based on the denseness and nesting properties of the gamma mixture, we fix the shape parameter of each gamma component at a unified value, and estimate the mixture using nonparametric maximum likelihood. A least-squares crossvalidation procedure is proposed for the choice of the common shape parameter. The performance of the resulting estimator of N is assessed using numerical studies and genomic data.
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通过贝叶斯非参数方法研究复合决策与经验贝叶斯
We study compound decision theory from a nonparametric Bayesian perspective, with particular emphasis on their relationship to empirical Bayes (EB) procedures. Motivated by the sharp risk guarantees available for EB procedures based on the nonparametric maximum likelihood estimator (NPMLE), we investigate whether analogous guarantees can be established for fully Bayesian decision rules. In a class of Gaussian compound decision problems, we show that the fully Bayesian…