Hostname: page-component-8448b6f56d-tj2md Total loading time: 0 Render date: 2024-04-25T02:32:19.939Z Has data issue: false hasContentIssue false
  • English
  • Français

Signal detection theory in Hilbert space

Published online by Cambridge University Press:  14 May 2013

Marcus Vinícius C. Baldo
Marcus Vinícius C. Baldo*
Affiliation:
Department of Physiology and Biophysics, “Roberto Vieira” Laboratory of Sensory Physiology, Institute of Biomedical Sciences, University of São Paulo, 05508-900 São Paulo, SP, Brazil. baldo@usp.br
Get access Rights & Permissions [Opens in a new window]

Abstract

The Hilbert space formalism is a powerful language to express many cognitive phenomena. Here, relevant concepts from signal detection theory are recast in that language, allowing an empirically testable extension of the quantum probability formalism to psychophysical measures, such as detectability and discriminability.

Type
Open Peer Commentary
Information
Behavioral and Brain Sciences , Volume 36 , Issue 3 , June 2013 , pp. 277 - 278
Copyright
Copyright © Cambridge University Press 2013 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Balakrishnan, J. D. (1998) Measures and interpretations of vigilance performance: Evidence against the detection criterion. Human Factors 40:601–23.Google Scholar
DeCarlo, L. T. (1998) Signal detection theory and generalized linear models. Psychological Methods 3:186–205.Google Scholar
Green, D. M. & Swets, J. A. (1966) Signal detection theory and psychophysics. Wiley.Google Scholar
Hughes, R. I. G. (1989) The structure and interpretation of quantum mechanics. Harvard University Press.Google Scholar
Macmillan, N. A. & Creelman, C. D. (2005) Detection theory: A user's guide. Cambridge University Press.Google Scholar
Parasuraman, R. & Masalonis, A. J. (2000) Fuzzy signal detection theory: Basic postulates and formulas for analyzing human and machine performance. Human Factors 42:636–59.Google Scholar
Pastore, R. E., Crawley, E. J., Berens, M. S. & Skelly, M. A. (2003) “Nonparametric” Á and other modern misconceptions about signal detection theory. Psychonomic Bulletin & Review 10:556–69.Google Scholar
Treisman, M. (2002) Is signal detection theory fundamentally flawed? A response to Balakrishnan (1998a, 1998b, 1999). Psychonomic Bulletin & Review 9:845–57.Google Scholar