We consider two classes of exponential dispersion models discrete probability distributions which are defined by specifying their variance functions in mean value parameterization. These were considered our earlier paper as overdispersed zero-inflated distributions. In this we analyze the application these to fit count data having and statistics. For reason, first elaborate on computational asp...

The mediation analysis methodology of the cause-and-effect relationship through mediators has been increasingly popular over past decades. human microbiome can contribute to pathogenesis many complex diseases by mediating disease-leading causal pathways. However, standard is not adequate for data due excessive number zero values and over-dispersion in sequencing reads, which arise both biologic...

Background: The instrumental activities of daily living (IADLs) are important index of physical functioning in older adult studies. These count outcomes with a large proportion of zeros are often collected in longitudinal studies. Data were from the Hispanic Established Population for Epidemiological Study of the Elderly (HEPESE), a four wave (seven years) longitudinal study of community-dwelli...

Applications in which data take nonnegative values but have a substantial proportion of values at zero occur in many disciplines. The modeling of such “clumped-at-zero” or “zero-inflated” data is challenging. We survey models that have been proposed. We consider cases in which the response for the non-zero observations is continuous and in which it is discrete. For the continuous and then the d...