Mathematical Sciences: The Application of the Stepwise BayesTechnique to Some Statistical Questions

证据的可受理性与 估计量及其关于某些（可能） 不适当的）先验分布将在有限 人口抽样情况。 贝叶斯理论对 最大似然估计等经典方法 将提供有限人群的样本。的 逐步贝叶斯技术将用于提供一个非信息 有限人群中手术的贝叶斯论证 反映统计学家先前信念的抽样， 人口中靠得近的成员更相似 而不是那些相距遥远的人。

The close relationship between the admissibility of an estimator and its Bayesness with respect to some (possibly improper) prior distribution will be studied in the finite population sampling situation. A Bayesian interpretation of classical procedures such as the maximum likelihood estimator will be provided for samples from finite populations. The stepwise Bayes technique will be used to provide a noninformative Bayesian justification for procedures in finite population sampling which reflect the statistician's prior beliefs that members of the population which are close together are more alike than those which are far apart.