A class of flat prior distributions for the Poisson-gamma hierarchical model

Schmitt Fernando O.; Gilardoni Gustavo L.; Andrade J. A. A.

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A class of flat prior distributions for the Poisson-gamma hierarchical model

机译：一类泊松-Gamma等级模型的平面现有分布

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摘要

A wide class of prior distributions for the Poisson-gamma hierarchical model is proposed. Prior distributions in this class carry vague information in the sense that their tails exhibit slow decay. Conditions for the propriety of the resulting posterior density are determined, as well as for the existence of posterior moments of the Poisson rate of either an observed or an unobserved unit.

机译：提出了泊松-Gamma等级模型的广泛的现有分布。本阶级的现有分布是含糊的信息，以至于它们的尾巴表现出缓慢衰减。确定所得后密度的适当的条件，以及存在观察到或未观察单元的泊松速率的后矩。

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《Statistica neerlandica》 |2019年第3期|414-433|共20页
作者
Schmitt Fernando O.; Gilardoni Gustavo L.; Andrade J. A. A.;
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作者单位

Controladoria Geral Uniao Brasilia DF Brazil;

Univ Brasilia Dept Stat Brasilia DF Brazil;

Univ Fed Ceara Dept Stat & Appl Math BR-60455670 Fortaleza CE Brazil;

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正文语种 eng
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关键词
existence of posterior moments; Jeffreys's prior; negative binomial sampling; noninformative prior; proper posterior; reference prior;

机译：后方的存在;杰弗里斯的先前;负二项式抽样;非信息先前;正确的后续;参考之前;

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1. A class of flat prior distributions for the Poisson-gamma hierarchical model [J] . Schmitt Fernando O., Gilardoni Gustavo L., Andrade J. A. A. Statistica neerlandica . 2019,第3期

机译：Poisson-gamma层次模型的一类平坦先验分布
2. Joint prior distributions for variance parameters in Bayesian analysis of normal hierarchical models [J] . Demirhan Haydar, Kalaylioglu Zeynep Journal of Multivariate Analysis: An International Journal . 2015,第Null期

机译：正态分层模型贝叶斯分析中方差参数的联合先验分布
3. Merging experts' opinions: A Bayesian hierarchical model with mixture of prior distributions [J] . Rufo M.J., Pérez C.J., Martín J. European Journal of Operational Research . 2010,第1期

机译：合并专家意见：混合先验分布的贝叶斯层次模型
4. A Class of Prior Distributions on Context Tree Models and an Efficient Algorithm of the Bayes Codes Assuming It [C] . Toshiyasu Matsushima, Shigeich Hirasawa International Symposium on Signal Processing and Information Technology . 2007

机译：一类关于上下文树模型的先前分布以及假设贝叶斯代码的有效算法
5. From flat to hierarchical: Modeling structures in visual recognition. [D] . Lan, Tian. 2013

机译：从平面到层次：视觉识别中的建模结构。
6. Gene function classification using Bayesian models with hierarchy-based priors [O] . Babak Shahbaba, Radford M Neal 2006

机译：使用具有基于层次的先验的贝叶斯模型进行基因功能分类
7. Informative Prior Distributions in Multilevel/Hierarchical Linear Growth Models: Demonstrating the Use of Bayesian Updating for Fixed Effects [O] . Schaper Andrew 2014

机译：多级/分级线性增长模型中的先验信息分布：证明使用贝叶斯更新进行固定效应
8. Robust Bayesian Analysis for a Simply Elicitable Class of Prior Distributions [R] . Ruggeri, F. 1990

机译：一类简单可引入的先验分布的鲁棒Bayes分析

A class of flat prior distributions for the Poisson-gamma hierarchical model

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