probcubshe2 function

probcubshe2

Probability distribution of a CUB model with explicit shelter effect

probcubshe2(m,pai,csi,delta,shelter)

Arguments

• m: Number of ordinal categories
• pai: Uncertainty parameter
• csi: Feeling parameter
• delta: Shelter parameter
• shelter: Category corresponding to the shelter choice

Returns

The vector of the probability distribution of a CUB model with explicit shelter effect.

Details

A CUB model with explicit shelter effect is a mixture of two components: a CUB distribution with uncertainty parameter $\pi$ and feeling parameter $\xi$, and a degenerate distribution with unit mass at the shelter category (shelter) with mixing coefficient specified by $\delta$.

Examples

m<-8
pai1<-0.5
pai2<-0.3
csi<-0.4
shelter<-6
delta<-1-pai1-pai2
pai<-pai1/(1-delta)
pr2<-probcubshe2(m,pai,csi,delta,shelter)
plot(1:m,pr2,type="h", main="CUB probability distribution with 
explicit shelter effect",xlab="Ordinal categories")
points(1:m,pr2,pch=19)

References

Iannario M. (2012). Modelling shelter choices in a class of mixture models for ordinal responses, Statistical Methods and Applications, 21 , 1--22

See Also

probcubshe1, probcubshe3