activity
19982026
most citedA strictly stationary, "causal," 5-tuplewise independent counterexample to the central limit theorem

4 citations · 5 across the 11 of their papers we have counts for

collaborators

12 papers

math.ST2026

A simple integral representation of single-event scoring rules

Alexander R. Pruss

A simple integral representation involving no derivatives or continuity assumptions is given for proper single-event scoring rules.

math.PR2021

Necessary and Sufficient Conditions for Domination Results for Proper Scoring Rules

Alexander R. Pruss

Scoring rules measure the deviation between a probabilistic forecast and reality. Strictly proper scoring rules have the property that for any forecast, the mathematical expectatio…

math.PR2021★ 1 cited

Proper Scoring Rules and Domination

Alexander Pruss

I generalize a theorem of Predd, et al.~(2009) on domination and strictly proper scoring rules to the case of non-additive scoring rules.

math.PR2020

Non-Classical Probabilities Invariant Under Symmetries [corrected]

Alexander R. Pruss

Classical countably additive real-valued probabilities come at a philosophical cost: in many infinite situations, they assign the same probability value -- namely, zero -- to cases…

math.GR2013

Linear extensions of orders invariant under abelian group actions

Alexander R. Pruss

Let G be an abelian group acting on a set X, and suppose that no element of G has any finite orbit of size greater than one. We show that every partial order on X invariant under $…

math.PR2012

On the Law of Large Numbers for Nonmeasurable Identically Distributed Random Variables

Alexander R. Pruss

Let be a countable infinite product of copies of the same probability space , and let be the sequence of the coordinate projection functions from to $Ω_…