probcubshe3 {CUB} | R Documentation |
Probability distribution of a CUB model with explicit shelter effect: satisficing interpretation
probcubshe3(m,lambda,eta,csi,shelter)
m |
Number of ordinal categories |
lambda |
Mixing coefficient for the shifted Binomial component |
eta |
Mixing coefficient for the mixture of the uncertainty component and the shelter effect |
csi |
Feeling parameter |
shelter |
Category corresponding to the shelter choice |
The "satisficing interpretation" provides a parametrization for CUB models with explicit
shelter effect as a mixture of two components: a shifted Binomial distribution with feeling parameter
ξ (meditated choice), and a mixture of a degenerate distribution with unit mass at the shelter
category (shelter
) and a discrete uniform distribution over m categories, with mixing
coefficient specified by η (lazy selection of a category).
The vector of the probability distribution of a CUB model with shelter effect.
Iannario M. (2012). Modelling shelter choices in a class of mixture models for ordinal responses,
Statistical Methods and Applications, 21, 1–22
m<-8 pai1<-0.5 pai2<-0.3 csi<-0.4 shelter<-6 lambda<-pai1 eta<-1-pai2/(1-pai1) pr3<-probcubshe3(m,lambda,eta,csi,shelter) plot(1:m,pr3,type="h",main="CUB probability distribution with explicit shelter effect",xlab="Ordinal categories") points(1:m,pr3,pch=19)