Regression Model for ZeroModified Count Data
26/04/2023 Wednesday 26th April 2023, 14:00 ()
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Katiane S. Conceição, Universidade de São Paulo, Brazil
In this work, we present a family of distributions for count data, named ZeroModified Power Series (ZMPS), an extension of the Power Series distributions family whose support starts at zero. This extension consists of modifying the probability of observing zero of each Power Series distribution, allowing the new zeromodified distribution appropriately accommodate datasets that have any amount of zero observations (for instance, zeroinflated or zerodeflated datasets). Power Series distributions included in the ZeroModified Power Series family are Poisson, Generalized Poisson, Geometric, Binomial, Negative Binomial, and Generalized Negative Binomial. In addition, we introduce the ZeroModified Power Series regression models and propose a Bayesian approach. Two real datasets are analyzed: the first corresponds to leptospirosis notifications in cities of Bahia State in Brazil; the second corresponds to the number of goals scored by a team in a sports competition.
