Multidimensional Fechnerian scaling: Regular variation version
type: Item
instance of: scholarly article
title: Multidimensional Fechnerian scaling: Regular variation version
zbMATH Open document ID: 1031.91098
author: Ehtibar N. Dzhafarov
published in: Journal of Mathematical Psychology
publication date: 2002-09-12T00:00:00Z
review text: A general theory of Fechnerian scaling was proposed by \textit{E. N. Dzhafarov} and \textit{H. Colonius} [J. Math. Psychol. 45, 670-719 (2001; Zbl 1004.91066)]. Fechnerian scaling is a theory of how a Fechner-Finsler metric can be computed in a continuous multidimensional stimulus space from the shapes of psychometric functions, taken in vicinities of stimuli considered, where these functions reach their minima. The version of Fechnerian scaling, studied in this article, obtains by adding an assumption ensuring that any psychometric differential regularly varies at the origin with a positive exponent. The regular variation version generalizes the power function version, presented previously.
reviewed by: Anna Gomolińska
Mathematics Subject Classification ID: 91C15
Mathematics Subject Classification ID: 91E30
Mathematics Subject Classification ID: 91E45
zbMATH DE Number: 1800302
zbMATH Keywords: Fechnerian scaling
zbMATH Keywords: Fechner-Finsler metric
zbMATH Keywords: psychometric differential
zbMATH Keywords: Karamata theory of slow and regular variation
MaRDI profile type: Publication
OpenAlex ID: W1993466198
cites work: Q4726487
cites work: Multidimensional Fechnerian scaling: basics
cites work: Q5624436
cites work: Q3771297
cites work: Regularly varying functions
DOI: 10.1006/JMPS.2001.1385
description: scientific article; zbMATH DE number 1800302