Educação Matemática Pesquisa: Revista do Programa de Estudos Pós-Graduados em Educação Matemática (On the probability distribution of the classical Gras implication index between two binary random variables)

Fecha: 
12/18/2014

Educ. Matem. Pesq., São Paulo, v.16, n.3, pp.969-980, 2014
Especial ASI
On the probability distribution of the classical Gras implication index
between two binary random variables
Sur la distribution de probabilité de l'indice d'intensité d'implication classique de
Gras entre deux variables aléatoires binnaires
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PABLO GREGORI1
RAPHAËL COUTURIER2
RUBÉN PAZMIÑO-MAJÍ3
Abstract
In this contribution we study the behavior of the classical Gras implication index as a
random variable, when applied to a couple of Bernoulli variables (X,Y) , independent
or not. We also show the effect of the conditional probability Y X p | on its probability
distribution, and specially on its mean value and quartiles.
Keywords : Binomial Model, Classical Implication Index, Conditional Probability,
Multinomial Model.