论文标题
贝叶斯的估计和某些混合物的预测
Bayesian estimation and prediction for certain mixtures
论文作者
论文摘要
对于两个庞大的混合分布家庭和一个提前的家族，我们提供了后验和预测分布的统一表示。提出的模型应用包括标记为Kibble-type，非中央卡方和F分布的伽马分布的双变量混合物，在多重回归中$ r^2 $的分布，正常分布的方差混合物以及位置尺度分布的混合物，包括多因素lomax分布。还重点放在分析表示以及与一个或两个变量的多个超晶函数的宿主的关系上。
For two vast families of mixture distributions and a given prior, we provide unified representations of posterior and predictive distributions. Model applications presented include bivariate mixtures of Gamma distributions labelled as Kibble-type, non-central Chi-square and F distributions, the distribution of $R^2$ in multiple regression, variance mixture of normal distributions, and mixtures of location-scale exponential distributions including the multivariate Lomax distribution. An emphasis is also placed on analytical representations and the relationships with a host of existing distributions and several hypergeomtric functions of one or two variables.
