arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1906.08360stat.OTstat.AP
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无重复抽样的频率论推理

Frequentist Inference without Repeated Sampling

Paul Vos, Don Holbert

摘要:

频率论推理通常是根据假设的重复采样来描述的,但是使用单个随机样本的解释也有优点。当代的例子表明随机现象的概率被解释为古典概率,这种解释适用于统计推断使用瓮模型。经典和限制相对频率的解释可以用来沟通统计推断,并讨论了各自的有效性。最近的描述p值,置信区间和权力被视为通过镜头的古典概率的基础上,从人口的单一随机样本。

英文摘要:

Frequentist inference typically is described in terms of hypothetical repeated sampling but there are advantages to an interpretation that uses a single random sample. Contemporary examples are given that indicate probabilities for random phenomena are interpreted as classical probabilities, and this interpretation is applied to statistical inference using urn models. Both classical and limiting relative frequency interpretations can be used to communicate statistical inference, and the effectiveness of each is discussed. Recent descriptions of p-values, confidence intervals, and power are viewed through the lens of classical probability based on a single random sample from the population.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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