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Research on COM-Poisson-Skellam Regression

--This is the work I did when I was a research assistant in Department of Mathematics and Statistics, Georgetown University, Washington DC

--Advisor: Kimberly F Sellers, Assistant Professor in Department of Mathematics and Statistics, Georgetwon University, Washington DC. contact: kfs7@georgetown.edu

--To give a brief introduction of my work in the research:

Prof. Sellers proposed a distribution called COM-Poisson Skellam distribution, which is used to model the difference of two groups of counting data with same dispersion parameters but different means. My job is to find and implement a method for regression analysis based on this distribution.

--I'm in the research team of three. Prof. Sellers is the leader who derived the COM-Poisson-Skellam distribution and we have group meeting every week. Prof. Andew tried to apply bayesian modelling and I tried to derive the regression method based on this distribution.

--The two docx files give a more detailed description of my work. They are not formal papers but just the scratch summary writing of my work.

--See the r_code file for all the r code I made for this research

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COM-Poisson Skellam Regression modelling

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