The Scaled Uniform Model Revisited

Mandel, Micha

doi:10.1080/00031305.2019.1604431

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The Scaled Uniform Model1

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2020

2024

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Cited by 4 publications

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“…where θ > 0 and the generator u = (u 1 , u 2 ) is given by the largest and smallest observation from a random sample of size n from the uniform distribution on the interval (1−k, 1+k). The corresponding statistical model was recently discussed by Mandel (2020) and before that by Galili and Meilijson (2016). The existence of optimal estimators was left open by their analysis.…”

Section: The Scaled Uniform Modelmentioning

confidence: 99%

Fiducial Inference and Decision Theory

Taraldsen¹,

H.²

2021

Preprint

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The majority of the statisticians concluded many decades ago that fiducial inference was nonsensical to them. Hannig et al. (2016) and others have, however, contributed to a renewed interest and focus. Fiducial inference is similar to Bayesian analysis, but without requiring a prior. The prior information is replaced by assuming a particular data generating equation. Berger (1985) explains that Bayesian analysis and statistical decision theory are in harmony. Taraldsen and Lindqvist (2013) show that fiducial theory and statistical decision theory also play well together. The purpose of this text is to explain and exemplify this together with recent mathematical results. 1

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Section: The Scaled Uniform Modelmentioning

confidence: 99%