This paper describes an approach to modeling the sums of a continuous random variable over a number of measurement occasions when the number of occasions also is a random variable. A typical example is summing the amounts of time spent attending to pieces of information in an information search task leading to a decision to obtain the total time taken to decide. Although there is a large litera...

Finite mixture models have been widely used to model and analyze data from a heterogeneous populations. Moreover, of this kind can be missing or subject some upper and/or lower detection limits because the constraints experimental apparatuses. Another complication arises when measures each population depart significantly normality, such as asymmetric behavior. For structures, we propose robust ...