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The Doubly Inflated Poisson And Related Regression Models, Manasi Sheth-Chandra
The Doubly Inflated Poisson And Related Regression Models, Manasi Sheth-Chandra
Mathematics & Statistics Theses & Dissertations
Most real life count data consists of some values that are more frequent than allowed by the common parametric families of distributions. For data consisting of only excess zeros, in a seminal paper Lambert (1992) introduced Zero-Inflated Poisson (ZIP) model, which is a mixture model that accounts for the inflated zeros. In this thesis, two Doubly Inflated Poisson (DIP) probability models, DIP (p, λ) and DIP ( p1, p2, λ), are discussed for situations where there is another inflated value k > 0 besides the inflated zeros. The distributional properties such as identifiability, moments, and conditional probabilities …