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Bayesian sample size determination for sampling from two Poisson distributions with underreporting.

机译：贝叶斯样本大小确定，用于从两个Poisson分布中进行欠报告采样。

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In this thesis we examine Bayesian methods for sample size determination when sampling from two Poisson distributions with underreported data. We will estimate sample size requirements for a credible set of specified length using an average length criterion (ALC). To compare the two distributions, we use the quantity lambda1--lambda2. A closed form of the posterior of lambda is computationally difficult so it will be approximated. For the estimation, we discuss a normal approximation and a Markov Chain Monte Carlo (MCMC) simulation with a Gibbs sampler. We generate three data sets through our simulation and graph the results. We then fit these graph points with a logarithmic regression curve. From the regression curve we can determine sample sizes needed for a credible set of any specified length.

机译：在这篇论文中，我们研究了从两个Poisson分布中未报告数据的样本进行抽样时确定样本大小的贝叶斯方法。我们将使用平均长度标准（ALC）估算一组可靠的指定长度的样本量要求。为了比较这两个分布，我们使用数量lambda1–lambda2。 Lambda后部的闭合形式在计算上很困难，因此可以将其近似。对于估算，我们讨论了正态近似和使用Gibbs采样器的马尔可夫链蒙特卡洛（MCMC）仿真。我们通过模拟生成三个数据集，并绘制结果图形。然后，我们用对数回归曲线拟合这些图点。根据回归曲线，我们可以确定任何指定长度的可靠集合所需的样本大小。

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作者
Allen, Stanley.;
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Stephen F. Austin State University.;

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授予单位 Stephen F. Austin State University.;
学科 Statistics.
学位 M.S.
年度 2006
页码 25 p.
总页数 25
原文格式 PDF
正文语种 eng
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2. Bayesian sample-size determination for two independent Poisson rates. [J] . Hand AL, Stamey JD, Young DM Computer Methods and Programs in Biomedicine: An International Journal Devoted to the Development, Implementation and Exchange of Computing Methodology and Software Systems in Biomedical Research and Medical Practice . 2011,第2期

机译：两个独立泊松率的贝叶斯样本量确定。
3. Bayesian Sample-size Determination for One and Two Poisson Rate Parameters with Applications to Quality Control [J] . JAMES D. STAMEY, DEAN M. YOUNG, TOM L. BRATCHER Journal of applied statistics . 2006,第6期

机译：一和两个泊松速率参数的贝叶斯样本量确定及其在质量控制中的应用
4. Evaluation of Bayesian quick switching single sampling system using Gamma zero inflated Poisson distribution [C] . V. Kaviyarasu, A. Parimala International Conference on Advances in Applicable Mathematics . 2020

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5. A Bayesian decision theoretic approach to fixed sample size determination and blinded sample size re-estimation for hypothesis testing. [D] . Banton, Dwaine Stephen. 2016

机译：用于假设检验的固定样本大小确定和盲样本大小重新估计的贝叶斯决策理论方法。
6. Sample size calculation for differential expression analysis of RNA-seq data under Poisson distribution [O] . Chung-I Li, Pei-Fang Su, Yan Guo, -1

机译：泊松分布下RNA-seq数据差异表达分析的样本量计算
7. $U$-Statistics of Random-Size Samples and Limit Theorems for Systems of Markovian Particles with Non-Poisson Initial Distributions [O] . Raisa Epstein Feldman, Svetlozar Rachev 1993

机译：随机大小样本的$ U $Statistics，与非泊松初始分布的马尔科夫粒子系统的限制定理
8. U-Statistics of Random-Size Samples and Limit Theorems for Systems of Markovian Particles with Non-Poisson Initial Distributions. [R] . Feldman, R. E., Rachev, S. 1994

机译：具有非泊松初始分布的马尔可夫粒子系统的随机大小样本和极限定理的U统计量。

Bayesian sample size determination for sampling from two Poisson distributions with underreporting.

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