Zero-truncated Poisson-Bilal distribution and its applications to biological sciences

Abstract

This paper proposes a zero-truncated version of the Poisson-Bilal distribution called the zero-truncated Poisson-Bilal (ZTPB) distribution. The ZTPB distribution with one parameter can be used to model extremely right-skewed and one-inflated count data sets. The method of maximum likelihood is used to estimate the parameter in the model. Its application to some real data sets from biological science has been given. Based on the goodness of fit, the ZTPB distribution gives a better fit than some zero-truncated distributions with one parameter. Based on the simulation study, the maximum likelihood estimator gives the estimate value is close to the true value.