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Statistically Dual Distributions and Estimation
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作者 sergey bityukov Nikolai Krasnikov +1 位作者 Saralees Nadarajah Vera Smirnova 《Applied Mathematics》 2014年第6期963-968,共6页
The reconstruction of a parameter by the measurement of a random variable depending on the parameter is one of the main tasks in statistics. In statistical inference, the concept of a confidence distribution and, corr... The reconstruction of a parameter by the measurement of a random variable depending on the parameter is one of the main tasks in statistics. In statistical inference, the concept of a confidence distribution and, correspondingly, confidence density has often been loosely referred to as a distribution function on the parameter space that can represent confidence intervals of all levels for a parameter of interest. In this short note, the notion of statistically dual distributions is discussed. Based on properties of statistically dual distributions, a method for reconstructing the confidence density of a parameter is proposed. 展开更多
关键词 DISTRIBUTION THEORY CONFIDENCE DISTRIBUTION Measurement ERROR THEORY DATA Analysis: Algorithms and Implementation DATA Management
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