Optimal integration of independent observations from Poisson sources
Author(s) -
Huanping Dai,
Emily Buss
Publication year - 2014
Publication title -
the journal of the acoustical society of america
Language(s) - English
Resource type - Journals
eISSN - 1520-8524
pISSN - 0001-4966
DOI - 10.1121/1.4903228
Subject(s) - poisson distribution , square root , context (archaeology) , gaussian , numerical integration , poisson regression , mathematics , count data , interval (graph theory) , square (algebra) , statistics , statistical physics , mathematical analysis , geology , physics , combinatorics , geometry , paleontology , population , demography , quantum mechanics , sociology
The optimal integration of information from independent Poisson sources (such as neurons) was analyzed in the context of a two-interval, forced-choice detection task. When the mean count of the Poisson distribution is above 1, the benefit of integration is closely approximated by the predictions based on the square-root law of the Gaussian model. When the mean count falls far below 1, however, the benefit of integration clearly exceeds the predictions based on the square-root law.
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