Poisson Regression

# Poisson Regression - Poisson Regression Poisson...

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Poisson Regression

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Poisson Distribution A Poisson distribution is given by: Where, is the average number of occurrences in a specified interval .. 2 , 1 , 0 , ! ] Pr[ = = = y y e y Y y λ Assumptions: Independence Prob. of occurrence In a short interval is proportional to the length of the interval Prob. of another occurrence in such a short interval is zero
Poisson Model The dependent variable is a count variable taking small values (less than 100). It has been proposed that the count dependent variable follows a Poisson process whose parameters are determined by the exogenous variables and the coefficients Justified when the variable considered describes the number of occurrences of an event in a give time span; e.g. # of occurrences of a given outbreak of a disease=f(pop density, interaction potential, exposure risk, distance variables, environmental conditions, etc.)

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Specification of the Model The primary equation of the model is The most common formulation of this model is the
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Poisson Regression - Poisson Regression Poisson...

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