摘要翻译:
置信度分布(CD)的概念是一个完全频率论的概念,本质上是对Fisher基准分布的内曼解释。它包含与每一种频率推论有关的信息。本文将CD看作参数的分布估计量。这自然而然地导致了对CD中包含的信息的考虑,CD和最佳CD的比较,以及CD概念与(轮廓)似然函数的联系。本文还介绍了一种多参数光盘的形式发展。
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英文标题:
《Confidence distribution (CD) -- distribution estimator of a parameter》
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作者:
Kesar Singh, Minge Xie, William E. Strawderman
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最新提交年份:
2007
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分类信息:
一级分类:Mathematics 数学
二级分类:Statistics Theory 统计理论
分类描述:Applied, computational and theoretical statistics: e.g. statistical inference, regression, time series, multivariate analysis, data analysis, Markov chain Monte Carlo, design of experiments, case studies
应用统计、计算统计和理论统计:例如统计推断、回归、时间序列、多元分析、数据分析、马尔可夫链蒙特卡罗、实验设计、案例研究
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一级分类:Statistics 统计学
二级分类:Statistics Theory 统计理论
分类描述:stat.TH is an alias for math.ST. Asymptotics, Bayesian Inference, Decision Theory, Estimation, Foundations, Inference, Testing.
Stat.Th是Math.St的别名。渐近,贝叶斯推论,决策理论,估计,基础,推论,检验。
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英文摘要:
The notion of confidence distribution (CD), an entirely frequentist concept, is in essence a Neymanian interpretation of Fisher's Fiducial distribution. It contains information related to every kind of frequentist inference. In this article, a CD is viewed as a distribution estimator of a parameter. This leads naturally to consideration of the information contained in CD, comparison of CDs and optimal CDs, and connection of the CD concept to the (profile) likelihood function. A formal development of a multiparameter CD is also presented.
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PDF链接:
https://arxiv.org/pdf/708.0976


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