New Zero -Truncated Distribution: Properties and Applications

A new zero-truncated distribution called zero-truncated Poisson-Pseudo Lindley distribution is introduced. Its statistical properties including general expression of probabilities, moments, cumulative function and the quantile function were examined. Different statistical properties of moment method, maximum likelihood estimation and the quantile function are identified. The parameters estimation of the zero-truncated Poisson-Pseudo Lindley distribution is explained by estimation methods and, to recommend its performance, a simulation is proposed. The model distribution to real-life data is presented and measured with the goodness of fit got by well-known one and two parameters distributions.