On appropriate procedures for combining probability distributions within the same family

Ewart A.C. Thomas, Brian H. Ross

Research output: Contribution to journalArticle


This article considers procedures for combining individual probability distributions that belong to some "family" into a "group" probability distribution that belongs to the same family. The procedures considered are Vincentizing, in which quantiles are averaged across distributions; generalized Vincentizing, in which the quantiles are transformed before averaging; and pooling based on the distribution function or the probability density function. Some of these results are applied to models of reaction time in psychological experiments.

Original languageEnglish (US)
Pages (from-to)136-152
Number of pages17
JournalJournal of Mathematical Psychology
Issue number2
StatePublished - Apr 1980


ASJC Scopus subject areas

  • Psychology(all)
  • Applied Mathematics

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