probcubshe1 function

probcubshe1

Probability distribution of an extended CUB model with a shelter effect.

probcubshe1(m,pai1,pai2,csi,shelter)

Arguments

• m: Number of ordinal categories
• pai1: Mixing coefficient for the shifted Binomial component of the mixture distribution
• pai2: Mixing coefficient for the discrete Uniform component of the mixture distribution
• csi: Feeling parameter
• shelter: Category corresponding to the shelter choice

Returns

The vector of the probability distribution of an extended CUB model with a shelter effect at the shelter category

Details

An extended CUB model is a mixture of three components: a shifted Binomial distribution with probability of success $\xi$, a discrete uniform distribution with support $\{1,...,m\}$, and a degenerate distribution with unit mass at the shelter category (shelter).

Examples

m<-8
pai1<-0.5
pai2<-0.3
csi<-0.4
shelter<-6
pr<-probcubshe1(m,pai1,pai2,csi,shelter)
plot(1:m,pr,type="h",main="Extended CUB probability distribution with shelter effect",
xlab="Ordinal categories")
points(1:m,pr,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

probcubshe2, probcubshe3