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

Author(s)
Afaq Ahmad Department of Mathematical Science, IUST, Awantipora, Kashmir
Aijaz Ahmad Department of Mathematics, Bhagwant University
Gamze Ozel Department of Statistics, Hecettepe University Ankara, Turkey
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.
Publication Details
Page(s) 111-125
Published Journal: Punjab University Journal of Mathematics, Volume: 54, Issue: 2, Year: 2022

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Keywords
estimation, discretization method, ecology data, Ailamujia distribution, count data.
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