Stochastic dominance: A bibliographical rectification and a restatement of Whitmore's theorem
type: Item
instance of: scholarly article
title: Stochastic dominance: A bibliographical rectification and a restatement of Whitmore's theorem
zbMATH Open document ID: 0607.90001
DOI: 10.1016/0165-4896(87)90061-8
published in: Mathematical Social Sciences
publication date: 1987-01-01T00:00:00Z
review text: The aim of this note is to make clear that the fundamental theorem on stochastic dominance of degree two was discovered by \textit{J. Karamata} [''Sur une inégalité relative aux fonctions convexes'', Publ. Math. de l'Univ. de Belgrade 1, 145-148 (1932)]. Apart from this historical rectification, it is interesting to remark that the proof is simple and elegant and can be used to characterize stochastic dominance of any order. We give a simple proof along these lines of Whitmore's theorem about third degree stochastic dominance.
Mathematics Subject Classification ID: 91B06
zbMATH DE Number: 3982855
zbMATH Keywords: measure
zbMATH Keywords: support
zbMATH Keywords: integrals
zbMATH Keywords: stochastic dominance of degree two
zbMATH Keywords: Whitmore's theorem
author: Michel Le Breton
MaRDI profile type: Publication
full work available at URL: 0165-4896(87)90061-8
OpenAlex ID: W2045161118
cites work: On an Inequality for Convex Functions
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description: scientific article; zbMATH DE number 3982855