One Parameter Discrete Ailamujia Distribution with Statistical Properties and Biodiversity and Abudance Data Applications

Abstract

The discretization of continuous distributions among researchers become important issue, so several discretization methods exists in the literature for obtaining discrete version of continuous distribution which can be pragmatic to discrete data. The present study proposes the discretization of continuous Ailamujia distribution. Subsequently various statistical properties has been studied including moment generating function, characteristic function, mode, reliability, probability generating function etc. Nature of density function and hazard function has been studied graphically. The technique of maximum likelihood estimation is used to estimate the unknown parameter of the said model. Biodiversity and abundance data applications are provided to flexibility and applicability of the new distribution in ecological studies.