probcubshe3: probcubshe3

In CUB: A Class of Mixture Models for Ordinal Data

Description

Probability distribution of a CUB model with explicit shelter effect: satisficing interpretation

Usage

probcubshe3(m,lambda,eta,csi,shelter)

Arguments

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

Details

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).

Value

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

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, probcubshe2

Examples

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)

CUB documentation built on March 31, 2020, 5:14 p.m.