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Confidence distribution (CD) -- distribution estimator of a parameter
Kesar Singh, Minge Xie, William E. Strawderman · 2007-08-07 · via math.ST updates on arXiv.org

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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