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Generalization of the classical signal detection theory for the less‐equal‐more task
Author(s) -
Sergeev Alexander,
Rakhmatova Anna,
Buevich Alexander,
Symanyuk Elvira,
Pavlova Svetlana
Publication year - 2020
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.6364
Subject(s) - mathematics , detection theory , generalization , signal (programming language) , task (project management) , differential equation , differential (mechanical device) , algorithm , mathematical analysis , computer science , detector , telecommunications , programming language , management , engineering , economics , aerospace engineering
In the work, the psychophysical model of the signal detection theory with the nine outcomes (PMSDT9) for a quantitative description of the solution of the sensory problem of detecting an alternating differential signal was proposed. Unlike the classical model, PMSDT9 has the three probability density functions of the subjective intensity and the sign of the differential signal (instead of the two), the two criteria of displacement (instead of the one), and the nine outcomes (instead of the four). The proposed PMSDT9 model generalizes the application of the classical model of the signal detection theory for the less‐equal‐more task. The modified model provides for the existence of the two criteria (the left and the right) and such outcomes as inversion. The obtained experimental results are consistent with the ideas about the noise in sensory systems.