probcush {CUB}

Probability distribution of a CUSH model

Description

Compute the probability distribution of a CUSH model without covariates, that is a mixture of a degenerate random variable with mass at the shelter category and the Uniform distribution.

Usage

probcush(m,delta,shelter)

Arguments

m

Number of ordinal categories

delta

Shelter parameter

shelter

Category corresponding to the shelter choice

Value

The vector of the probability distribution of a CUSH model without covariates.

References

Capecchi S. and Piccolo D. (2017). Dealing with heterogeneity in ordinal responses, Quality and Quantity, 51(5), 2375–2393
Capecchi S. and Iannario M. (2016). Gini heterogeneity index for detecting uncertainty in ordinal data surveys, Metron, 74(2), 223–232

Examples

m<-10
shelter<-1
delta<-0.4
pr<-probcush(m,delta,shelter)
plot(1:m,pr,type="h",xlab="Number of categories")
points(1:m,pr,pch=19)