Zero-inflated Loss Count Models and Their Applications
Wei Wang
Abstract
Wei Wang
Abstract
Under many circumstances,loss count data appears to be both zero-inflated and long-tailed,and this will make the usual models such as Poisson regression models unsuitable to fit the data properly.The paper discusses some important zero-inflated models,including zero-inflated Poisson regression,zero-inflated Negative Binomial regression,zero-inflated Generalized Poisson regression,and zero-inflated Poisson Inverse Gaussian regression.The paper also applies these models to a practical data set.The result shows that zero-inflated models can significantly improve the goodness of fit when the actual data has the property of zero-inflation.
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Under many circumstances,loss count data appears to be both zero-inflated and long-tailed,and this will make the usual models such as Poisson regression models unsuitable to fit the data properly.The paper discusses some important zero-inflated models,including zero-inflated Poisson regression,zero-inflated Negative Binomial regression,zero-inflated Generalized Poisson regression,and zero-inflated Poisson Inverse Gaussian regression.The paper also applies these models to a practical data set.The result shows that zero-inflated models can significantly improve the goodness of fit when the actual data has the property of zero-inflation.
Key concepts: Count data, Negative binomial distribution, Zero (linguistics), Zero-inflated model, Poisson regression, Poisson distribution, Mathematics, Statistics