有限总体样本的非参数贝叶斯模型

Non-Parametric Bayesian Models for Samples from Finite Populations

Journal of the Royal Statistical Society. Series B: Statistical Methodology · 1982
被引 46
ABS 4

中文导读

在有限总体贝叶斯分析中使用非参数先验,证明简单随机抽样和分层随机抽样中总体均值的常用估计和置信区间在渐近意义上有贝叶斯合理性,并开发了分层抽样中百分位数估计和区间估计的新方法。

Abstract

Summary Using Ferguson's (1973) non-parametric priors in a Bayesian analysis of finite populations, we show that asymptotically, at least, the usual estimates and confidence intervals for the population mean in simple and stratified random samples can be justified in Bayesian terms. We then apply these models for estimating population percentiles, and a new procedure for interval estimates in stratified sampling is developed.

统计学贝叶斯分析抽样方法置信区间