4 papers
A New Look at the Classical Estimation Problem
Paul W. Vos
Bahadur's \emph{Lectures on the Theory of Estimation} develop the classical theory of point estimation inside the geometry of Hilbert space, and they record with unusual honesty wh…
Strong Likelihood Principle: Strengthening a Principle or Misunderstanding the Likelihood Function
Paul William Vos
The strong likelihood principle (SLP) is conventionally derived from the sufficiency principle and a conditionality principle in an argument due to Birnbaum, and much of the litera…
Random Variables aren't Random
Paul W. Vos
This paper examines the foundational concept of random variables in probability theory and statistical inference, demonstrating that their mathematical definition requires no refer…
Generalized Estimation and Information
Paul Vos, Qiang Wu
This paper extends the idea of a generalized estimator for a scalar parameter (Vos, 2022) to multi-dimensional parameters both with and without nuisance parameters. The title refle…