The Behrens-Fisher and Fieller-Creasy Problems
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TL;DR
The fiducial argument continues under active and sympathetic study today only in a few islands of the statistical world.
Abstract
Of all R.A. Fisher's creations, fiducial inference was perhaps the most ambitious, yet least accepted. Ignored by a large part of the statistics community satisfied with the mathematically simpler confidence approach, and rejected as logically imperfect and inconsistent in general by those who recognized the strength of the fiducial objectives, the fiducial argument continues under active and sympathetic study today only in a few islands of the statistical world.