Fiducial inference was introduced in the first half of the 20th century by Fisher (1935) as a means to get a posterior-like distribution for a parameter without having to arbitrarily define a prior. While the method originally fell out of favor due to non-exactness issues in multivariate cases, the method has garnered renewed interest in the last decade. This is partly due to the development of generalized fiducial inference, which is a fiducial perspective on generalized confidence intervals: a method used to find approximate confidence distributions. In this chapter, we illuminate the usefulness of the fiducial philosophy, introduce the definition of a generalized fiducial distribution, and apply it to interesting, non-trivial inferential examples.
This article examines the work of mid-century French filmmaker Jacques Tati. Tati suggested that his films allow more visual freedom to audiences and that audiences discover new material upon multiple viewings of his films. We review the scholarship on Tati, especially in relation to critic André Bazin’s theories of realism, and then propose another model for understanding Tati’s films: the psychological concept of inattentional blindness. The article then discusses our experiment using eye tracking technology to study how subjects watch Tati’s films versus other types of cinema and also how they re-watch films. Finally, we applied several statistical and mathematical tests to the eye tracking data to understand key differences between Tati’s films and other filmmaking practices.
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