Multidimensional Fechnerian scaling: Regular variation version
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.
Karamata theory of slow and regular variation
scientific article; zbMATH DE number 1800302