Estimating the number of species through Bayesian method in Sampling-based approaches

碩士 === 國立成功大學 === 數學系應用數學碩博士班 === 91 === Gibbs sampler and Data augmentation algorithms can be viewed as two alter- native sampling(or Monte Carlo)-based approaches to calculate the numerical estimates of marginal density distribution. This article is concerned with the estimation of the numbe...

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Bibliographic Details
Main Authors: Ken-Ning Shu, 許根寧
Other Authors: Wen-Dean Hwang
Format: Others
Language:en_US
Published: 2003
Online Access:http://ndltd.ncl.edu.tw/handle/01946910479746783204
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Summary:碩士 === 國立成功大學 === 數學系應用數學碩博士班 === 91 === Gibbs sampler and Data augmentation algorithms can be viewed as two alter- native sampling(or Monte Carlo)-based approaches to calculate the numerical estimates of marginal density distribution. This article is concerned with the estimation of the number of species in a population through a fully hierarchical Bayesian model and an empirical Bayes approach using two kinds of alternative sampling-based approaches proposed above. The proposed Bayesian estimators are based on Poisson random variables with mean that are distributed according to a prior distribution with unknown parameters.