Diffuse Models for Sampling and Predictive Inference

As a natural, intuitive model for inferences about certain characteristics of finite populations, Bruce Hill has proposed a sequence of exchangeable variables $X_1, \cdots, X_{n + 1}$ which have distinct values with probability one and have the property that, conditional on $X_1, \cdots, X_n$ , the next observation $X_{n + 1}$ is equally likely to fall in any of the $n + 1$ intervals determined by $X_1, \cdots, X_n$ . Harold Jeffreys had previously assumed such a model (in the case $n = 2$ ) for normal measurements with unknown mean and variance. Hill has shown that, for $n \geqslant 1$ , there exist no countably additive distributions with the prescribed properties. It is shown here that finitely additive distributions with these properties do exist for all $n$ and have a number of interesting properties.As a natural, intuitive model for inferences about certain characteristics of finite populations, Bruce Hill has proposed a sequence of exchangeable variables $X_1, \cdots, X_{n + 1}$ which have distinct values with probability one and have the property that, conditional on $X_1, \cdots, X_n$, the next observation $X_{n + 1}$ is equally likely to fall in any of the $n + 1$ intervals determined by $X_1, \cdots, X_n$. Harold Jeffreys had previously assumed such a model (in the case $n = 2$) for normal measurements with unknown mean and variance. Hill has shown that, for $n \geqslant 1$, there exist no countably additive distributions with the prescribed properties. It is shown here that finitely additive distributions with these properties do exist for all $n$ and have a number of interesting properties.

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笔记与分组

分类依据与纠错

Diffuse Models for Sampling and Predictive Inference

代码、数据与补充材料

用于抽样与预测推断的弥散模型

原文摘要

同方向的基础文献

同方向的基础文献