Analysis of mixed correlated semi-continuous and β-inflated Poisson responses

ABSTRACT

In this article, inflation at an arbitrary point β of a member of power series exponential family and mean-inflation as a cause of having semi-continuous distribution are discussed. Also, a joint modeling of such a semi-continuous response and β-inflated Poisson response is presented. Simultaneous effects of covariates on both responses, which have two-component mixture distributions, are investigated. To find the parameter estimates, the maximum likelihood approach is used. The proposed model is illustrated on some simulation studies and applied to a real survey dataset.

KEYWORDS:

• β-inflated Poisson
• Mean imputation
• Missing at random
• Mixed correlated response
• Semi-continuous
• The EM algorithm

MATHEMATICS SUBJECT CLASSIFICATION:

• 62H20
• 62-07
• 62F10